Unitarity Triangle fit and new physics Marcella Bona LAPP on - PowerPoint PPT Presentation

Marcella Bona UT fit and new physics Unitarity Triangle fit and new physics Marcella Bona LAPP on behalf of the http://www.utfit.org UTfit Collaboration M.B., M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi, M. Pierini, P. Roudeau, C. Schiavi, L. Silvestrini, V. Sordini, A. Stocchi, V. Vagnoni IV CKM Workshop, Nagoya, Japan December 12 th , 2006 1 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics ckm matrix and unitarity triangle Vtb  ≃  1  V CKM =  1 −  2 3 − i  Vud Vus Vub  A  2 Vcd Vcs Vcb 2 1 − 2 − A  2 Vtd Vts 3  1 −− i  − A  2 A  t c u normalized: normalized: d s b many observables functions of   ed   : overconstraining 2 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics outline see: G. Martinelli in this session summary of the SM fit (very quickly) ˝ tension " (also very quickly) few words on the" new physics with the model independent analysis model independent analysis: new new new-physics -oriented constraints results in K, B d , B S sectors for NP parameters MFV scenario analysis and results 3 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics Bayes Theorem the method and the inputs: Standard Model + OPE/HQET/ Lattice QCD } } , m t to go from quarks to hadrons M. Bona et al . (UTfit Collaboration) JHEP 0507:028,2005 hep-ph/0501199 see also: M. Bona et al . (UTfit Collaboration) G. Martinelli at this session, JHEP 0603:080,2006 hep-ph/0509219 V. Lubicz at WG4 (Wed 13) 4 IV CKM Workshop, December 12 th , 2006 M. Pierini at WG joint session (Thur 14)

Marcella Bona UT fit and new physics LEP-style analysis in the ρ - η plane: |V cb /V ub | ε K levels @ ∆ m s / ∆ m d ∆ m d 95% CL ρ = 0.188 ± 0.036 η = 0.371 ± 0.027 5 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics angle constraints in the ρ - η plane: α β levels @ 95% CL see: ∆ m d V. Lubicz To be compared To be compared with with γ in WG4 B factory results ρ = 0.134 ± 0.039 η = 0.335 ± 0.020 6 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics M. Bona et al . (UTfit Collaboration) the global fit: JHEP 0507:028,2005 hep-ph/0501199 http://www.utfit.org To be compared To be compared with with NP should appear as «corrections» to the CKM picture ρ = 0.163 ± 0.028 η = 0.344 ± 0.016 7 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics tension in the current results: in the fit: ∆ m d + ∆ m s + V ub + V cb compared to: ε k + β + α + γ + 2 β + γ exclusive inclusive from indirect determination V ub = (3.48 ± 0.20) 10 -3 sin2 β = 0.752 ± 0.038 ρ = 0.171 ± 0.041 from indirect determination η = 0.387 ± 0.031 8 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics indirect measurement exploiting V ub (Best SM prediction) f B = (190 ± 14) MeV [UTA] → = τν ± − 4 BR B ( ) (0.89 0.16) 10 τ SM prediction V ub = (36.7 ± 1.5) 10 -4 [UTA] enhanced or f B = (189 ± 27) MeV [LQCD] ± − → = τν 4 BR B ( ) (0.84 0.30) 10 τ reduced by V ub = (35.0 ± 4.0) 10 -4 [Exclusive] factor r H : f B = (189 ± 27) MeV [LQCD] ± → − = τν 4 BR B ( ) (1.39 0.44) 10 τ V ub = (44.9 ± 3.3) 10 -4 [Inclusive] f = ± (237 37) MeV From BR(B → τν τ ) and V ub (UTA): B Same game with ∆ m s : Current updated ICHEP06 values post-ICHEP06 value ∆ m s = (18.7 ± 2.3) ps -1 M. Bona et al . (UTfit Collaboration) 9 IV CKM Workshop, December 12 th , 2006 JHEP 0610:081,2006 hep-ph/0606167

Marcella Bona UT fit and new physics fit with NP-independent constraints using Tree-level processes assumed to be NP free * the effect of the  D 0 -D 0 mixing is negligible wrt the actual error  ρ = ± 0.00 ± 0.15  η = ± 0.41 ± 0.04 very important to improve: V ub /V cb from semileptoic decays γ from tree level processes reference starting point 10 for NP model building IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics model independent analysis New Physics in Δ F=2 amplitudes can be parameterized in a simple general form: SM SM+NP 0 ∣ H eff full ∣ B q 0 〉 2i  B d =〈 B q tree level C B q e ,  q = d , s  0 ∣ H eff SM ∣ B q 0 〉 (V ub /V cb ) SM (V ub /V cb ) SM 〈 B q γ SM γ SM 0 ∣ H eff full ∣ K 0 〉] C  K =ℑ[〈 K Bd Mixing 0 ∣ H eff SM ∣ K 0 〉] ℑ[〈 K β SM β SM + φ Bd α SM α SM - φ Bd ∆ m d C Bd ∆ m d model indepentent assumptions Bs Mixing J. M. Soares and L. Wolfenstein, Phys. Rev. ∆ m s SM C Bs ∆ m s SM D 47 (1993) 1021; β s SM β s SM + φ Bs N. G. Deshpande, B. Dutta and S. Oh, Phys. Rev. Lett. 77 (1996) 4499 K Mixing [arXiv:hep-ph/9608231] ε K SM C ε K ε K SM J. P. Silva and L. Wolfenstein, Phys. Rev. D 55 (1997) 5331 [arXiv:hep-ph/9610208] A. G. Cohen et al. , Phys. Rev. Lett. 78 (1997) M. Bona et al . (UTfit Collaboration) 2300 [arXiv:hep-ph/9610252] JHEP 0603:080,2006 hep-ph/0509219 Y. Grossman, Y. Nir and M. P. Worah, 11 IV CKM Workshop, December 12 th , 2006 Phys. Rev. Lett. B 407 (1997) 307 [arXiv:hep-ph/9704287]

Marcella Bona UT fit and new physics model independent approach in the fit Using |V ub /V cb | ∆ m d ε K A CP (J/ ψ K 0 ) γ (DK) α, cos2 β, A SL , A CH , .. so we have to add 12 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics SM prediction (-1.06 ± 0.09)10 -3 A SL in B d decays This is the only observable that is sensitive to NP effect on both size and phase of B mixing Direct measurement new average = (0.8 ± 5.6)10 -3 (large values in case of new physics) A CH in B d,s decays First available bound on  Bs-Bs mixing phase =(-1.3 ±1. 2 ± 0.8)10 -3 admixture of B d and B s dependent on ρ and η and on NP effects (C Bd , φ Bd , C Bs , φ Bs ) M. Bona et al . (UTfit Collaboration) 13 IV CKM Workshop, December 12 th , 2006 Phys.Rev.Lett.97:151803,2006 hep-ph/0605213

Marcella Bona UT fit and new physics results of the model independent approach ρ = 0.180 ± 0.057 second solution: ~7.4% η = 0.390 ± 0.037 C Bd = 1.21± 0.40 φ Bd = (-3.9 ± 2.2) o http://www.utfit.org 14 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics results in the B d and K sectors: φ Bd = -(3.9 ± 2.2) o C Bd = 1.21 ± 0.40 C ε K = 0.88 ± 0.15 we go back to to SM solution NP in ∆ B=2 and ∆ S=2 could be up to 50% with respect to the SM only if it has the same phase of the SM 15 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics exploring new physics in the B S sector: ∆ m S : same as usual C Bs φ Bd C Bs φ Bs C Bd A CH : already illustrated φ Bs φ Bs φ Bs ∆Γ S / Γ S : only from CDF flavour-specific B S lifetime: only from CDF TD(B S → J/ ψ φ ): time dependent 3-dimensional C Pen and φ Pen angular analysis from D0 to include ∆ F = 1 NP contributions ∆Γ S / Γ S from angular in presence of new physics, the experimental measurement analysis of is actually a measurement of ∆Γ q cos2( φ Bq - β q ) B S → J/ ψ φ we use the CDF-only result 16 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics additional constraints the NP in the B S sector: flavour specific B S lifetime we use the CDF-only result we now use τ BS only from the study of B S decays to CP eigenstates which is connected to the values of Γ S and ∆Γ S by this relation time-dipendent angular analysis in B S → J/ ψ φ D0 provided simultaneous bounds on β S , ∆Γ and Γ : we use the experimental likelihood C Bs φ Bs including the 3x3 correlation matrix D0 result and we don't use D0 values in the other constraints ICHEP06 (in order not to double count the measurements) 17 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics C BS = 1.04 ± 0.30 results in the B S sector: old we go back to result to SM solution φ BS = -(21 ± 10) o C BS = 1.04 ± 0.30 φ BS = -(21 ± 10) o 18 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics or if you prefer: B d B S 19 IV CKM Workshop, December 12 th , 2006

Marcella Bona UT fit and new physics Are there new sources of CPV? New sources of CPV in s → d and/or b → d transitions are – strongly constrained by the UT fit L. Silvestrini – “unnecessary”, given the great success LP05 and consistency of the fit New sources of CPV in b → s transitions are – much less (un-) constrained by the UT fit – natural in many flavour models, given the strong breaking of family SU(3) Pomarol, Tommasini; Barbieri, Dvali, Hall; Barbieri, Hall; Barbieri, Hall, Romanino; Berezhiani, Rossi; Masiero et al; … – hinted at by ν ’s in SUSY-GUTs Baek et al.; Moroi; Akama et al.; Chang, Masiero, Murayama; Hisano, Shimizu; Goto et al.; … 20 IV CKM Workshop, December 12 th , 2006