Introduction to Particle Physics

93
Introduction to Modern Theoretical Physics Thomas Gajdosik, VU Introduction to Particle Physics Thomas Gajdosik Vilnius Universitetas Teorinės Fizikos Katedra The Particle Zoo Symmetries The Standard Model

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Introduction to Particle Physics. The Particle Zoo Symmetries The Standard Model. Thomas Gajdosik Vilnius Universitetas Teorinės Fizikos Katedra. The Particle Zoo. e -. the electron. Thomson. 1897. e -. g. the photon. Einstein. Planck. Compton. 1900-1924. 1897. e -. g. p. - PowerPoint PPT Presentation

Transcript of Introduction to Particle Physics

Page 1: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Introduction to Particle Physics

Thomas GajdosikVilnius Universitetas

Teorinės Fizikos Katedra

The Particle Zoo

Symmetries

The Standard Model

Page 2: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

The Particle Zoo

Page 3: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the electrone-

ThomsonThomson

Page 4: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the photon

1900-1924

g

PlanckPlanck EinsteinEinstein

ComptonCompton

e-

Page 5: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the proton

e-

1900-1924

g

1914

RutherfordRutherford

p

Page 6: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the neutron

e-

1900-1924

g

1914

n

p

1932

ChadwickChadwick

Page 7: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the muon

e-

1900-1924

g

1914

µ

p

1932

n

1937

Who ordered that one?

• Hess• Anderson, Neddermeyer• Street, Stevenson

spark chamber

Page 8: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the pion

e-

1900-1924

g

1914

p

p

1932

n

1937

µ

1947

Powell Powell Yukawa Yukawa

prediction discovery

Page 9: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the positron (anti-matter)

e-

1900-1924

g

1914

e+

p

1932

n

1937

µ

1947

p

Anderson Anderson

Dirac Dirac

prediction

discovery

Page 10: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the neutrino

e-

1900-1924

g

1914

n

p

1932

n

1937

µ

1947

p

e+

Fermi Fermi Pauli Pauli

Page 11: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

strange particlese-

1900-1924

g

1914

KK

p

1932

n

1937

µ

1947

p

e+

Rochester,Butler,...

1947-...

n

SS

LL

Page 12: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

„I have heard it said that the finderof a new elementary particle usedto be rewarded by a Nobel Prize,but such a discovery now ought tobe punished by a $10,000 fine.“

e-

1900-1924

g

1914

K

p

1932

n

1937

µ

1947

p

e+

1947-...

n

S

L

Willis Lamb, in his Nobel prize acceptance speech 1955, expressed the mood of the time:

Lamb

Page 13: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

mean life time (s)

n

m

pc

KL

D

Kc

KS

p0

h

t

B

f

J/y1s 2s

3s

4sw

r

D*

Sc

S0

W-

mass (GeV/c2)

1s

1 ms

1 µs

10-15s

10-20s

10-25s

100000e- p

1 ns

The Particle Zoo

Zo

Page 14: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

+

-e-

1V

1GeV = 109 eV

the electron volt (eV)

2mcΕ

side note:

Natural Units in Particle Physics

• the fundamental constants c and ħ are

set to 1 and are dimensionless• the only remaining dimension is

energy, which is measured in units of eV

• all other dimensions can be expressed in powers of [eV]:energy [eV] 1 eV = 1.60328·10-13 Jlength [eV-1] 1 cħ/eV = 1.97327·10-7 mtime [eV-1] 1 ħ/eV = 6.58212·10-16 smass [eV] 1 eV/c2 = 1.78266·10-36 kgtemperature [eV] 1 eV/k = 1.16044·104 K

Page 15: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Looking for some order in the chaos...

1. properties of particles:• order by mass (approximately, rather to be seen historically) :

leptons (greek: „light“) electrons, muons, neutrinos, ...mesons („medium-weight“) pions, kaons, ...baryons („heavy“) proton, neutron, lambda, ....

• order by charge:neutral neutrons, neutrinos, photons ...±1 elementary charge proton, electron, muon, ….±2 elementary charge D++, Sc

++

• order by spin:fermions (spin ½, 1½, ...) electrons, protons, neutrinos, …bosons (spin 0, 1, …) photons, pions, …

• order by „strangeness“, parity, ...

Page 16: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

eeµµ

Decay ppnmnm

nene

nmnm 26 ns 2200 ns

Scatteringe-

e+e+

KKp

p

e-

e+e+

KK

pp

Observing particle decays and interactions:

Page 17: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Looking for some order in the chaos...

2. conservation laws for particle decays:• conservation of energy:

n p + ... but not p0 p+ + ...

• conservation of charge:n p + e- + ... but not n p + e+ + ...

• conservation of lepton number:n p + e- + n but not n p + e- + n

• conservation of baryon number: n p + ... but not n p+ p- + ...

• conservation of strangeness (only in „fast“ processes)fast K* Kp but only “slow” K pp

Page 18: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

eeµµ

Decay ppnmnm

nene

nmnm 26 ns 2200 ns

Scatteringe-

e+e+

KKp

p

e-

e+e+

KK

pp

Observing particle decays and interactions

Page 19: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Symmetries as a guiding principle

Page 20: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Symmetries & where do we find them? everywhere in nature:

• snow flakes exhibit a 6-fold symmetry

• crystals build lattices

symmetries of the microcosm are also visible in the macrocosm!

Page 21: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

How do symmetries look like in theory?

• symmetries are described by symmetry transformations:

Example 1: Butterfly symmetry transformation S1:

mirror all points at a line!

formally: W=„original picture“ W‘=„mirrored picture“ apply symmetry in operator notation: S1W=W‘

symmetry is given if and only if S1W=W!

Page 22: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

How do symmetries look like in theory?

• symmetries are described by symmetry transformations:

Example 2: crystal lattice symmetry transformation S2:

move all points by same vector!

formally: W=„original picture“ W‘=„moved picture“ apply symmetry in operator notation: S2W=W‘

symmetry is given if and only if S2W=W!

Page 23: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Which types of symmetries do weencounter in particle physics?

discrete symmetry transformations:parity transformation P

• to mirror at a plane, e.g. a mirror, is easy to understand, but depends on the (arbitrary) position and orientation of the plane.

• more general definition: mirror at origin (space inversion, parity transformation):

PW(t,x,y,z) := W(t,-x,-y,-z)

• parity transformations correspond to a rotation followed by a mirroring at a plane

Page 24: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Reversion of time‘s arrow: time inversion T

• corresponds to a movie played backwards• in case of a movie (= everday physics), this

is spotted at once (i.e. there is no symmetry)• however, the laws of mechanics are time-

symmetric! (example: billiard)• definition:

TW(t,x,y,z) := W(-t,x,y,z)

Which types of symmetries do weencounter in particle physics?

discrete symmetry transformations:

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Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

anti-matter : charge conjugation C• for every known particle, there is also a anti-partner• anti particles are identical to their partners with respect to some

properties (e.g. mass), and opposite w.r.t. others (e.g. charge)• charge conjugation exchanges all particles with their anti

partners (and vice versa)

• definition:

CW(t,x,y,z) := W(t,x,y,z) e- e+

electron positron

Which types of symmetries do weencounter in particle physics?

discrete symmetry transformations:

Page 26: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

(symmetry transformations that can be performed in arbitrarily small steps)

• time: physics(today) physics(tomorrow)more accurate: shift by a time-step Δt:

eΔt /t W(t,x,y,z) = W(t+Δt,x,y,z)

• space: physics(here) physics(there)more accurate: displacement in space by a vector Δr=(Δx, Δy, Δz):

eΔr W(t,x,y,z) = W(t,x+Δx,y+Δy,z+Δz)

Which types of symmetries do weencounter in particle physics?

continuous symmetry transformations:

Page 27: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• orientation: physics(north) physics(west)more accurate: rotation around an arbitrary axis in space:

DW(t,x,y,z) = W(t,x‘,y‘,z‘)

(symmetry transformations that can be performed in arbitrarily small steps)

Which types of symmetries do weencounter in particle physics?

continuous symmetry transformations:

Page 28: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• U(1) transformation: • does not affect the outer coordinates t,x,y,z,

but inner properties of particles• U(1) is a transformation, which rotates the phase

of a particle field (denoted as ) by an angle a:

U(1)(t,x,y,z)=eia (t,x,y,z)

dėmesio,sudėtinga!

insertion: particles are represented by fields in quantum field theory. At each point in space and time, the field can have a certain complex phase.

a

Re

Im

1

eia

=| |·eia

(symmetry transformations that can be performed in arbitrarily small steps)

Which types of symmetries do weencounter in particle physics?

continuous symmetry transformations:

Page 29: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

to each continuous symmetry of a field theory corresponds a certain conserved quantity,

i.e. a conservation law

that means: if a field theory remains unchanged under a certain symmetry transformation S, then there is a mathematical procedure to calculate a property of the field which does not change with time, whatever complicated processes are involved.

Emmy Noether1882-1935

The fundamental importanceof symmetries

Noether's theorem:

Page 30: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

also tomorrow the sun will rise the conservation of energy

E = mc2

...and that's it!

eΔt /t W(t,x,y,z) = W(t+Δt,x,y,z) = W(t,x,y,z)!

• the laws of physics do not change with time • more accurate: the corresponding field theory is invariant under

time shifts:

From Noether‘s theorem follows the conservation of a well-known property:

energy!

The fundamental importanceof symmetries

applications of Noether's theorem:

Page 31: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Example: chess

• there is virtually an infinite number of ways a game of chess can develop

• a game tomorrow can be completely different from that today

but:

• the rules of chess remain the same, they are invariant under time shifts!

just to be clear: we are talking about properties of theunderlying theory, not a certain physics scenario

Page 32: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

it‘s the same everywhere the conservation of momentum

• the laws of physics do not depend on where you are• more accurate: the corresponding field theory is invariant under

space displacements:

eΔr W(t,x,y,z) = W(t,x+Δx,y+Δy,z+Δz) = W(t,x,y,z)!

The fundamental importanceof symmetries

applications of Noether's theorem:

From Noether‘s theorem follows the conservation of another well-known

property: momentum!

Page 33: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

going round and round – the conservation of angular momentum

• the laws of physics do not depend on which way you look

• more accurate: the corresponding field theory is invariant under rotations:

DW(t,x,y,z) = W(t,x,y,z)!

The fundamental importanceof symmetries

applications of Noether's theorem:

From Noether‘s theorem follows the conservation of yet another well-known

property: angular momentum!

Page 34: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

even more abstract symmetries get a meaning: the conservation of charge

• as it turns out, the field theory of electro-dynamics is invariant under a global* U(1) transformation:

U(1)(t,x,y,z)=eia (t,x,y,z) W‘=W!

The fundamental importanceof symmetries

applications of Noether's theorem:

* global means affecting all space-points (t,x,y,z) the same

From Noether‘s theorem follows the

conservation of charge!

Page 35: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Overview

symmetries and conservation laws

contnuous symmetry conservation law

time translation energy

space translation momentum

rotation angular momentum

U(1) phase charge

Page 36: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

is physics really perfectly symmetric?

• obviously, many things in our macroscopic world are not symmetric

• but is this also true for the fundamental laws of physics?

Originally it seemed that nature does not only exhibit the previously discussed continuous symmetries, but the discrete symmetries as well:

• P (parity = mirror symmetry)• T (time inversion)• C (charge conjugation)

Are symmetries perfect? the small imperfections make it more

interesting...

Page 37: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• originally, all experiments indicated that the microcosmic world is perfectly mirror-symmetric

• 1956 Tsung-Dao Lee and Chen Ning Yang postulated a violation of parity for the weak interaction

• in the same year, Chien-Shiung Wu demonstrated the violation experimentally

nature is not mirror-symmetric,P-symmetry (parity) is violated

Chien-Shiung Wu1912-1997

60Co

e-

P

e-

60Cobeta-decay

Tsung-Dao Lee & Chen Ning Yang

Are symmetries perfect? the Wu experiment

Page 38: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• also (undetected) anti-neutrinos are emitted• anti-neutrinos have a spin that is always orientated in the direction

of movement (they are „right-handed“)• since a P-transformation changes the direction of movement, but

not the spin, it produces a „left-handed“ anti-neutrino • as it turns out, a left-handed anti-neutrino does not exist in nature

at all!• therefore, P-symmetry is said to be maximally violated

60Co ne-

nright-handedanti-neutrino

left-handedanti-neutrino

Are symmetries perfect?a deeper understanding of the Wu experiment

Page 39: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• there is no left-handed anti-neutrino, but there is a left-handed neutrino (and only a such-handed!)

• obviously, this violates C-symmetry (symmetrie between matter and anti-matter)

• BUT: the combined symmetry transformation CP (exchange matter/anti-matter plus mirroring) works:

nn n

nright-handedanti-neutrino

nleft-handed

neutrino

CP

Are symmetries perfect?P violation - but maybe a CP symmetry?

right-handedanti-neutrino

left-handedanti-neutrino

left-handedneutrino

Page 40: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

the kaon experiment of 1964

Rene Turlay1932-2002

James Cronin*1931

Val Fitch*1923

KL

ppp

long-lived kaon decay into pions

99,8%

KL

pp

0,2%

• if there is CP-symmetry in nature, by Noether‘s theorem there is also a corresponding conserved quantum number „CP“

• one has to know that mesons like the kaon or the pion are pseudo- scalars, which mean they change sign under a P-transformation:

PK = -K, P p = -p• therefore, CP is conserved for the decay of the long-lived kaon into

three pions, but not for the decay into two

CP-Symmetry is (slightly) violated

Are symmetries perfect?

Page 41: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

why CP-violation is important for our existence:

Andrej Sacharow1921-1989

• our universe consists – as far as we know – almost completely of matter

• but where is the anti-matter?• and why haven‘t matter and anti-matter just annihilated?

possible explanation: • at big bang, there have been large amounts of both

matter and anti-matter• almost all of them annihilated• but smallest asymmetries in the laws of nature for matter and anti-matter left

a tiny excess of matter: the matter our universe is made of!• 1967, Andrej Sacharow gave a list of conditions for this explanation• one of it is CP-violation

Without CP-violation, our universe would not be the one we know!

implications of CP-violation in cosmology

Are symmetries perfect?

Page 42: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• the CPT-theorem states that under very general conditions, quantum field theories always have to exhibit CPT-symmetry

• also experimentally, no violations have been observed so far CPT-Symmetry is (as far as we know today) not violated

• interesting side remark: as a consequence of CPT-symmetry together with CP-violation, there has to exist a violation of T-symmetry

• that means: the fundamental laws of nature are not time-symmetric, there is a special direction of time even at microscopic level

• „future IS different from the past, after all!“

"last hope" CPT-symmetry?

Are symmetries perfect?

Page 43: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Overview

discrete symmetries

symmetry valid in the universe?

P (mirroring)

C (exchange matter/anti-matter)

T (time inversion)

CP (combination of C and P)

CPT (combination of C,P & T)

Page 44: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

The Standard Model – Particle content

Page 45: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

fermions (spin ½) bosons (spin 1,2)

strong

weak

e

charge

0

-1

+2/3

-1/3

gravity?

weak forceW, Z

electromagneticg

strong forcegne

m t

nm nt

d

u

s

c

b

t

+1/3 +1 0

d

u

d

uu

du

d

proton neutron

q

qq

q

q

The Standard Model - Overview particles

interactions

chargeleptons quarks

generation1st 2nd 3rd 1st 2nd 3rd

Page 46: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

fermions (spin ½) bosons (spin 1,2)

strong

weak

e

charge

gravity?

weak forceW, Z

electromagneticg

strong forcegne

m t

nm nt

d

u

s

c

b

t

The Standard Model - Overviewanti particles

interactions

chargeleptons quarks

generation1st 2nd 3rd 1st 2nd 3rd

e

0

+1

-2/3

+1/3

ne

m t

nm nt

d

u

s

c

b

t

+1 pion (p)

d

u

Page 47: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

D++

u

uu

p0

d

dd

us

L0

u

us

S+

c

d

D+

s

u

K-

b

b

Page 48: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

D++

u

uu

p+

u

d

d

us

L0

c

d

D+

s

u

K-

b

b

d

uu

du

d

proton neutron

mesons

baryons

...

...

nucleus

He-nucleus(a-particle)

atom

matter

Page 49: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

1. reminder about the particles• from the historical introduction

2. the ordering principle• example: electron and neutrino

3. the systematics• extending the ordering to all fermions

• counting the degrees of freedom

4. overview

Page 50: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the electrone-

ThomsonThomson

Page 51: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the positron (anti-matter)

e-

1900-1924

g

1914

e+

p

1932

n

1937

µ

1947

p

Anderson Anderson

Dirac Dirac

prediction

discovery

Page 52: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the neutrino

e-

1900-1924

g

1914

n

p

1932

n

1937

µ

1947

p

e+

Fermi Fermi Pauli Pauli

Page 53: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• there is no left-handed anti-neutrino, but there is a left-handed neutrino (and only a such-handed!)

• obviously, this violates C-symmetry (symmetrie between matter and anti-matter)

• BUT: the combined symmetry transformation CP (exchange matter/anti-matter plus mirroring) works:

nright-handedanti-neutrino

nleft-handed

neutrino

CP

Are symmetries perfect?P violation - but maybe a CP symmetry?

nn nright-handedanti-neutrino

left-handedanti-neutrino

left-handedneutrino

Reminder:

Page 54: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Ordering principle discreet symmetries

• Parity P– left handed or right handed

• Charge Conjugation C– particle or antiparticle

• Charge Q or Flavour– possible values:

• Generation– first – second – third

0 -1 ⅔ -⅓ e u d

e

eL eR

_

Page 55: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

Ant

ipar

ticl

eP

artic

le

RightLeft

eR-

eR+

e eL-

eL+ e

_

Page 56: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the proton

e-

1900-1924

g

1914

RutherfordRutherford

p

Page 57: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the neutron

e-

1900-1924

g

1914

n

p

1932

ChadwickChadwick

Page 58: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

partons / parton model

e-

g

pn

µp

e+

n

Richard Feynman1969

1900-1924

1897 1914 19471932

1937 1955

1947

1969

Page 59: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

Ant

ipar

ticl

eP

artic

le

RightLeft

eR-

eR+

e eL-

eL+ e

_

uL dL uR dR

Page 60: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the pion

e-

1900-1924

g

1914

p

p

1932

n

1937

µ

1947

Powell Powell Yukawa Yukawa

prediction discovery

Page 61: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

Ant

ipar

ticl

eP

artic

le

RightLeft

eR-

eR+

e eL-

eL+

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 62: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

the muon

e-

1900-1924

g

1914

µ

p

1932

n

1937

Who ordered that one?

• Hess• Anderson, Neddermeyer• Street, Stevenson

spark chamber

Page 63: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

eR-

eR+

e eL-

eL+

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 64: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

strange particlese-

1900-1924

g

1914

KK

p

1932

n

1937

µ

1947

p

e+

Rochester,Butler,...

1947-...

n

SS

LL

Page 65: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

sL

_sL

sR

_sR

eR-

eR+

e eL-

eL+

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 66: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

1897

antineutrino

e-

1900-1924

g

1914

p

1932

n

1937

µ

1956

p

e+

reactors:Clyde Cowan, Frederick Reines

n

_

1955

1947

n

Page 67: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

sL

_sL

sR

_sR

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 68: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

charm quark: J/Ψ

e-

g

pn

µp

e+

Burt Richter (SLAC), Samuel Ting (BNL)1974

n

c

1900-1924

1897 1914 19471932

1937 1955

1947

1969

1974

Page 69: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 70: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

tau lepton:

e-

g

pn

µp

e+

Martin Perl (SLAC-LBL)1975

n

19751900-1924

1897 1914 19471932

1937 1955

1947

1969

1974

Page 71: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

R-

R+

L-

L+

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 72: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

bottom quark

e-

g

pn

µp

e+

E288 (Fermilab)1977

n

b

19751900-1924

1897 1914 19471932

1937 1955

1947

1969

1974 1977

Page 73: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

R-

R+

L-

L+

bL

_bL

bR

_bR

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 74: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

top quark

e-

g

pn

µp

e+

n

tCDF, D0 (Fermilab)1995

19751900-1924

1897 1914 19471932

1937 1955

19951947

19831969

1974 1977

1979

Page 75: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

R-

R+

L-

L+

tL bL

tL

_ _bL

tR bR

tR

_ _bR

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 76: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

tau neutrino:

e-

g

pn

µp

e+

DONUT (Fermilab)2000

n

19751900-1924

1897 1914 19471932

1937 1955

19951947

19831969

1974 1977

20001979

Page 77: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

L-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

R-

R+

L-

L+

_

tL bL

tL

_ _bL

tR bR

tR

_ _bR

eR-

eR+

e eL-

eL+ e

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

Page 78: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• solve the “solar neutrino puzzle”

neutrinos have a tiny mass

there exist also right-handed neutrinos

• but they have:

no charge, no hypercharge, and no color

no interaction, except the mass-term

their existence does not change the

Standard Model!

neutrino oscillations: e ↔ ↔ x

Page 79: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particles of the Standard Model: Fermions

R-

R+

RL-

L+

Ant

ipar

ticl

eP

artic

le

RightLeft

R_

cL sL

cL

_ _sL

cR sR

cR

_ _sR

R-

R+

R L-

L+R

_

tL bL

tL

_ _bL

tR bR

tR

_ _bR

eR-

eR+

eReL-

eL+eR

_

uL dL

uL

_ _dL

uR dR

uR

_ _dR

e

_

_

e

_

Page 80: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Symmetries as a guiding principle:

leading to gauge bosons

Page 81: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

How symmetries make theories

remember: • physics is invariant under a

U(1)-transformation of the particle field ,

U(1) (t,x,y,z) = eia (t,x,y,z)

• the phase a here is global, that means a synchronous phase transformation of all particles in the whole universe!

the idea: • replace global transformation by a local one:

U(1) (t,x,y,z) = ei (a t,x,y,z) (t,x,y,z) ?

QED, the quantum theory of light

( different particles at different positions get transformed independently)

Page 82: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

consequence of a local U(1) transformation:

• if only particles are transformed (not including their electromagnetic interaction), then the theory is not invariant under local U(1) transformations!

• however, if electromagnetic interaction is included, then the theory

is locally U(1) symmetric!

• this works only, because the electromagnetic interaction has just the right form

How symmetries make theories QED, the quantum theory of light

coincidence or deeper truth?

Page 83: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

the modern view:

• for a given global symmetry, it is postulated that it is also valid locally

• from this, one gets automatically an interaction connected with this symmetry

• in addition, one gets additional particles (force carriers, for U(1) it is the photon), which mediate the interaction

How symmetries make theories QED, the quantum theory of light

each local symmetry produces an interaction plus new particles which mediate it

Page 84: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• experiments showed that protons (and neutrons) have an inner structure

• the observed symmetries suggested the postulation of the existence of 3 quarks inside the nucleon.

• quarks have an additional property, called color

there are three color states: red, green, blue

q q q

How symmetries make theories Quantum-Chromo-Dynamics (QCD)

the theory of the strong force

Page 85: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• idea: there is a symmetry between different color states, i.e. they can be arbitrarily re-mixed without changing the theory:

q

q

q

q q qArr +Arg +Arb

q q qAgr +Agg +Agb

q q qAbr +Abg +Abb

• mathematically, this corresponds to a 3x3 matrix A, and the symmetry group is known as SU(3)

How symmetries make theories Quantum-Chromo-Dynamics (QCD)

the theory of the strong force

=

=

=

„new colors“

Page 86: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

• by postulating a local SU(3) symmetry, one automatically gets a new kind of interaction between the quarks

• it is known as strong force, the corresponding force carriers are called gluons

• it is responsible for the binding of mesons and baryons

• and as well for the stability of nuclei

the color symmetry of quarks enables the existence of atoms!

How symmetries make theories Quantum-Chromo-Dynamics (QCD)

the theory of the strong force

Page 87: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

fermions (spin ½)

e

charge

0

-1

+2/3

-1/3

ne

m t

nm nt

d

u

s

c

b

t

chargeleptons quarks

generation1st 2nd 3rd 1st 2nd 3rd

How symmetries make theories sketch of electro-weak interaction

• postulating a local SU(2) symmetry between up- and down-type particles produce a new kind of interaction for leptons and quarks

• however, since only left-handed neutrinos exist, this symmetry can only involve left-handed electrons

• for right-handed particles, a separate U(1)-symmetry is postulated• together they form the electro-weak theory of the standard model

Auu +Aud

Adu +Add

=

=

ne ne

nee e

e

Auu +Aud

Adu +Add

=

=

u

d

du

du

Page 88: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

OverviewSymmetries and Interactions

gauge symmetry interaction

U(1) (symmetry of all leptons and quarks)

U(1)Y

SU(2) (symmetry of only left-handed leptons and quarks )

weak

SU(3) (symmetry of quarks) strong

? (is it a symmetry of space-time geometry itself, or something qualitatively different?)

(quantum-) gravity

electro-weak

Page 89: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

symmetry breaking

example: chess

• the rules of chess are in principle absolutely symmetric for both players

• i.e. the rules how the pieces move are the same for black and white

but:

• symmetry is broken at the beginning, due to the initial setup of the pieces

• therefore, e.g. a bishop never can change the color of the field it is standing on

Page 90: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

spontaneous symmetry breaking

energy

Higgs-field

hot universe(shortly after big bang)

0

particles are massless

cold universe(condensed into anasymmetric state)

particles get a mass

In the standard model, the particle‘s masses are an effect of symmetry breaking:• originally, all particles are massless • but there is an additional interaction with the so-called Higgs-field• if there were no Higgs-field, the interaction would have no effect• however, due to a spontaneous symmetry breaking, the whole universe

is filled with a non-zero Higgs-field• the interaction with this omni-present field produces what we know

as mass of particles

symmetry breaking the origin of mass

Page 91: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

the result of the search for the higgs will be one of the most important scientific results of 2012!

• the existence of the Higgs-field is up to today not experimentally confirmed!

• a theory of a omni-present, static field, whose only effect is giving particles their mass can not be falsified by principle

• however, a consistent theory also predicts excitations of the Higgs-field: Higgs particles

• the interaction of these Higgs particles with ordinary particles (and its strength) is completely determined by theory, and controlled by just one parameter, the value of the background Higgs field

the necessary energy and luminosity for the hunt for the higgs will

be provided by the LHC (Large Hardon Collider) at CERN

symmetry breaking the search for the higgs

Page 92: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Page 93: Introduction to Particle Physics

Introduction to Modern Theoretical Physics Thomas Gajdosik, VU

Particle Physics

Nuclear Physics

all other Physics