Higgs Sector in the MSSM (2010) - Frisch
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Transcript of Higgs Sector in the MSSM (2010) - Frisch
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he Higgs sector in the MSSM
Wolfgang Frisch
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he Higgs sector in the Standard Model
● The Standard model contains one Higgs doublet, that gives masses to
up, down quarks and leptons.–
● is spontaneousl broken down to
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he Higgs sector in the Standard Model
!n the SM, the global fit suggests a light Higgs boson mass
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he Higgs sector in the Standard Model
● Three Higgs boson mass ranges
● The SM cannot be the ultimate theor "gravitation#. !t breaks down at
the $lanck scale or even below some energ scaleΛ.
large top yukawa-coupling
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● %othing restricts the SM to survive up to the $lanck Scale if the Higgs
mass is in the region from &'()&*( +e. However this is unnatural.
● !f the cutoff scale is ver high, fine tuning of the Higgs boson mass isΛ
a serious problem. The Higgs boson mass depends quadraticall on the
cutoff scale .Λ
● We need to find a reason to keep the Higgs boson mass light. The mass
of the Higgs boson should be located in the electroweak scale.
● !dea- There is a smmetr that protects the Higgs boson from receiving
too large corrections.
he Higgs sector in the Standard Model
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he concept of Supersymmetry
● The Higgs boson self)energ "main contribution comes form top)loop#
superpartner scalar
●
oth contribution chancel if
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MSSM Particle Spectrum
● Charged Higgsinos and Winos mix to 2 Charginos (Fermions)
● ino! "hotino and neutral Higgsions mix to # $eutralions
(Fermions)
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he Higgs poten tial in the MSSM
●
C"- conser%ing at tree-le%el! since all phases can &e a&sor&ed
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● Two Higgs doublets are required in supersmmetric theories to
generate mass for both /up/ tpe and /down/ tpe quarks and
charged leptons.
● The mass eigenstates
Higgs sector at tree-level
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● The two Higgs fields e0panded in mass eigenstates
● is the ratio of the two 1s
● 2ll Higgs sector parameters at tree level are determined b two
parameters and
● !n particular
Higgs sector at ree-level
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● Masses of h(, H( are 1igenvalues of the following matri0
● is the angle that diagonali3es . Form the above results
one obtains
● From the equation for one can derive an upper bound to the
light 4$ even Higgs boson h(
Higgs sector at tree-level
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● reaches its upper bound value in the limit of large
Higgs sector at tree-level decoupling l imit
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● Weak boson masses
● +auge boson couplings
Higgs coupl ings to gauge bosons
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● Summar of the Higgs couplings to gauge bosons
Higgs coupl ings to gauge bosons
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●Couplings relat ive to SM values
Higgs coupl ings to fermions
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● radiative corrections must be considered since, dominant effects arise
from loops involving the 'rd generation quarks and squarks and are
proportional to large 5ukawa couplings
● Squark mi0ing matri0 in interaction eigenstates for
● Squark mi0ing parameters
●
Squark mi0ing matri0 must be diagonali3ed to describe mass eigenstates
Loop-corrected Higgs mass
● Top mass in the off diagonal elements leads to a large mi0ing and a
possible light
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Loop-corrected Higgs mass
● Ma0imal mass of the 4$)even Higgs boson h( at one)loop level
● dependence
● logarithmic sensitivit to stop quark masses
● dependence of Higgs mass on , ma0imal value at
● Minimal mi0ing scenario with , Ma0imal mi0ing scenario with
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● Ma0imal Mi0ing vs Minimal Mi0ing
Loop-corrected Higgs mass
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Loop-corrected Higgs mass
● Ma0imal Mi0ing vs Minimal Mi0ing
MSSM Higgs mass l imits after LEP
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● MSSM Higgs production at 61$
Higgs production and decays at the LHC
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Higgs production and decays at the LHC
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● MSSM Higgs production at Tevatron and 6H4 for vector boson fusion
processes
Higgs production and decays at the LHC
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● MSSM Higgs production at Tevatron and 6H4 for gluon fusion
processes
Higgs branching rat ios
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● ranching ratio of h( and H( for small tan beta
Higgs branching rat ios
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● ranching ratio of h( and H( for large tan beta
The couplings to down)like fermions are enhanced.
Charged Higgs branching rat ios
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LHC Higgs detection
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LHC Higgs detection
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