Summary of WG6:

CKM 2006                Nagoya, 11­16 Dec  2006

Gino Isidori [INFN­Frascati]on behalf of WG6 conveners:

Yuval Grossman, Riosuke Itoh, G.I., Patrick Koppenburg

CKM fits New Physics&

CKM 2006                Nagoya, 11­16 Dec  2006

Status of CKM fits

UTfit [Martinelli] CKMfitter [Trabelsi]

What we learnt from CKM fits about NP

Model-Indep. bounds [Bona, Lacker]MFV [Grinstein]Top-flavour violation [Papucci] SUSY [Silvestrini, Paradisi, Yamashita] Little-Higgs [Buras, Tarantino]

Where to look for NP in the flavour sector

Rare K decays [Smith, Mescia, Ruggiero, HyoSang Lee] Rare B decays [de Nardo, Rescigno, Dickens, Tomoto]Super-CKM fits @ LHC & super-B [Onogi, Vagnoni, Pierini, Itoh]Bs physics [Papucci, Schwartz, Baracchini, Casey, van Hunen, Magini]

Conclusions

Summary of WG6:

ϕ1

ϕ3ϕ2

Status of CKM fits

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Three main messages:

The tension between exclusive & inclusive Vub

prevent to draw definite conclusions from the only

interesting anomaly (the slight disagreement between sin2β & Vub)

Excellent overall consistencywith the SM predictions(redundant consistency

checks of the CKM mechanism)

vs.

For most of usthe difference

vs.

is in the

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Trabelsi

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Martinelli

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Ferroni

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Martinelli

Theory Models(what we learnt from CKM fits about NP)

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Three complementary strategies:

Model-independent fits

Extended CKM fits including NP under general assumptions

(e.g. no NP in tree-level amplitudes)

very general (useful tool)

no predictive power; no dynamics

EFT approaches

(MFV, nMFV...)

predictive (falsifiable) approaches based only on few underlying hypothesis

(general probes of the underlying flavour symmetry)

no dynamics

Explicit models

(SUSY, Little Higgs...)

complete theories

several free parameters...

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Examples of Model-independent fits:

New physics in ∆F=2 and negligible NP contributions in

tree-level observables (used to determine the CKM matrix)

Lacker Bona

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Examples of Model-independent fits:

New physics in ∆F=2 and negligible NP contributions in

tree-level observables (used to determine the CKM matrix)

Lacker Bona

Key role played by Lattice

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

only assuming cNP~ (yt Vtb*Vtd)2

we get a bound on Λ in the TeV range

(yt Vtb*Vtd)2

16 π2 ΜW2

M(Bd-Bd) ~ + cNP

1

Λ2

_

if you don't think this is an accident... ⇒ MFV

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Grinstein

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

SU(3)Q×SU(3)U×SU(3)D

Quark Flavour Group

λU

λD

~VCKM

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

SU(3)Q×SU(3)U×SU(3)D

Quark Flavour Group

λU

λD

~VCKMAdding more Higgs doublets we can change the relative normalization of λU & λD (controlled by tanβ)

Adding more spurions (new sources of flavour symmetry breaking) ⇒ next-to-MFV...

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

A few comments:

I) The MFV hypothesis is far from being verified:

To prove MFV from data we need to

observe some deviation form the SM in FCNC s

observe the CKM pattern predicted by MFV [within same type of FCNCs]

∆F =2 processes are in principle excellent candidates to prove MFV, but so far we are limited by theoretical (Lattice) uncertainties.

Best ∆F=1 candidates: Bd,sl+l- & Ku,dπνν

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

I) The MFV hypothesis is far from being verified

II) Still room for additional spurions (with specific flavour structures)

E.g.: O(1) flavour-symmetry breaking only in the top sector:

Papucci

A few comments:

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

I) The MFV hypothesis is far from being verified

A few comments:

II) Still room for additional spurions (with specific flavour structures)

III) The MFV hypothesis leaves open the possibility of spectacular NP effects in the charged lepton sector:

MFV + GUTs ⇒ LFV rates cannot be arbitrarily suppressed by lowering MR:

Α( li → lj γ) = a [Ye Yv+Yv]ij + b [YU

+YU YD ]ij

MR independentNormalization depending on MR

If there are new particles carrying lepton-flavour at the TeV scale (Λeff < 10 TeV)

then MEG should see µ→ eγ (BR >10−13)~

~

Cirigliano, Grinstein, G.I., Wise, '06

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

I) The MFV hypothesis is far from being verified

A few comments:

II) Still room for additional spurions (with specific flavour structures)

III) The MFV hypothesis leaves open the possibility of spectacular NP effects in the charged lepton sector:

MFV + GUTs ⇒ LFV rates cannot be arbitrarily suppressed by lowering MR:

Α( li → lj γ) = a [Ye Yv+Yv]ij + b [YU

+YU YD ]ij

MR independentNormalization depending on MR

If there are new particles carrying lepton-flavour at the TeV scale (Λeff < 10 TeV)

then MEG should see µ→ eγ (BR >10−13)~

Cirigliano, Grinstein, G.I., Wise, '06

N.B.: the interest of LFV processes is shared by all explicit NP

models [not covered for time reasons] ~

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Explicit NP models:

SUSY Little Higgs

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Silvestrini

SUSY

N.B.: non-vanishing δ's are expected by RGE even in

minimal GUT frameworks [Masiero; Yamashita]

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Silvestrini

SUSY

presentbounds

N.B.: non-vanishing δ's are expected by RGE even in

minimal GUT frameworks [Masiero; Yamashita]

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Silvestrini

SUSY

Non-vanishing δ's could be around the corner (explaining some of the current anomalies and/or saturate all the non-well-measured quantities)

but the overall picture tends toward some sort of alignment/universality (MFV)

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

SUSY

Even if SUSY has a MFV structure and squarks are in the TeV region, if tanβ is large (~ 40-50 ) and mH is not too heavy (consistent framework) one can still expect large non-standard effects in helicity-suppressed observables:

Key low-energy observables to probe the large tanβ scenario

Paradisi

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

SUSY

Even if SUSY has a MFV structure and squarks are in the TeV region, if tanβ is large (~ 40-50 ) and mH is not too heavy (consistent framework) one can still expect large non-standard effects in helicity-suppressed observables:

Key low-energy observables to probe the large tanβ scenario

Paradisi

Γ(B+ µ+ν)Γ(B+ τ+ν)

RBµτ = (RBµτ)SM up to O(50%) deviations from G.I. & Paradisi '06

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

LittleHiggs

Buras/Tarantino

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

LittleHiggs

The large enhancements require some fine-tuning in the new flavour structures

But the limited number of free parameters leads to unambiguous correlations which can be easily checked against data and against other NP models

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Mescia

SUSY LittleHiggs

Where to look for NP in the flavour sector

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

a collective effort...

Rare K decays

Rare B decays

CPV in the Bssystem

Super CKM fits& CPV in

penguin modes

Precision tests [LFU, CKM unitarity]

in B & K semileptonic decays

LFV in µ & τ decays

EDMs

Where to look for NP in the flavour sector

g-2

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

a collective effort...

Rare K decays

Rare B decays

CPV in the Bssystem

Super CKM fits& CPV in

penguin modes

Precision tests [LFU, CKM unitarity]

in B & K semileptonic decays

LFV in µ & τ decays

EDMs

Where to look for NP in the flavour sector

Not covered in this summary because of time reasons (& partial cover by other WGs), not because it's not interesting....

Th: Papucci,

φs: Casey, van Hunen, Magini

Y(5S): Baracchini, Schwartz

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Rare decays

Β+ l+ ν

Nine

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Veltri

:

(good)

Rare K decays

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

T. Yamanaka

H.S. Lee

Rare K decays

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

super

One of the most interesting observable at a super-B factory, together with the Β µν ⇒ scalar currents & precise LFU tests

Itoh

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Rescigno

B µ+µ− @ Tevatron

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

B µ+µ− @ Tevatron

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Super-CKM fits @ LHC & super-B

Strategy to bound NP effects from CKM fits: ● Determine ρ,η from tree-level● Extract/bound NP from ∆F =2 processes

NP sensitivity limited by theoretical (Lattice) uncertainties

Key issue to access the possible evolution of Lattice errors

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Super-CKM fits @ LHC & super-B

Key issue to access the possible evolution of Lattice errors:

Onogi

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

Assuming future Lattice errors ~ 1-2 % + super-B data:

Pierini

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

2.3 %2.2 %

Vagnoni

A more fair compariosn...:

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

A more (too...?) conservative perspective:

Itoh

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

A more (too...?) conservative perspective:

Itoh

For a fair comparisonimportant to agree on common standards for the Lattice inputs

The super-B program can and must be more ambitious and more exciting !

⇒ challenging but unique & very interesting goals, such as

τ→ µγ @ 10−10 Γ(B+ µ+ν)Γ(B+ τ+ν)

@ 1%

The future of flavour physics is the discovery of the connections between quark- and lepton-flavour structures

Conclusions

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

New physics is there !!We know it for sure, at least from neutrino physics & dark matter [→ Masiero]

What we don't know yet are

energy scale & flavour strucutre of NP

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

LHC

we should not be pessimistic...

LHC will find NP @ TeV !

New physics is there !!We know it for sure, at least from neutrino physics & dark matter [→ Masiero]

What we don't know yet are

energy scale & flavour strucutre of NP

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

LHC...and the collective effort toward flavour physics will be rewarded !

Rare K decays

Rare B decays

CPV in the Bssystem

Super CKM fits

Precision tests in B & K

semilept. decays

LFV in µ & τ decays

EDMs

g-2

New physics is there !!We know it for sure, at least from neutrino physics & dark matter [→ Masiero]

What we don't know yet are

energy scale & flavour strucutre of NP

we should not be pessimistic...

LHC will find NP @ TeV !

 G. Isidori –  Summary of WG6: CKM fits & NP              CKM 2006

LHC...and the collective effort toward flavour physics will be rewarded !

Rare K decays

Rare B decays

CPV in the Bssystem

Super CKM fits

Precision tests in B & K

semilept. decays

LFV in µ & τ decays

EDMs

g-2

New physics is there !!We know it for sure, at least from neutrino physics & dark matter [→ Masiero]

What we don't know yet are

energy scale & flavour strucutre of NP

we should not be pessimistic...

LHC will find NP @ TeV !

THANKS TO

ALL THE WG6 SPEAKERS & CO-CONVENERS