Assessing the Impact of the Asymmetric B Factories http://www.slac.stanford.edu/xorg/ckmfitter The whole paper: (Submitted to Eur.Phys.J.C) I The CKM matrix and the UT triangle V Constraints on 2β + γ and γ from Tree Decays II The Statistical Approach Rfit III The Global CKM Fit VI Charmless B Decays VII New Physics in B Transitions IV Constraints from Kaon Physics = Morceaux choisis Assessing the Impact of the Asymmetric B Factories (page )
Introduction The Rfit scheme A frequentist statistical approach Theoretical errors interpreted as allowed Range No a priori information used where there is none = Probing the Standard Model Metrology of the parameters New Physics detection Updated results since our publication! sin2β Charmless decays = Some results are preliminary (ICHEP 4) Assessing the Impact of the Asymmetric B Factories (page 2)
2 The global CKM fit.5.5 -.5 - excluded area has CL <.5 ε K V ub /V cb sin 2β ICHEP 24 sin 2α m d γ α sin 2α m s & m d -.5 - -.5.5.5 2 β ε K Inputs CKM matrix elements: V ud, V us, V cb, V ub Kaon system: ɛ K B oscillations: m d, m s B decays: sin2β (b ccs): most precise constraint, theo. clean sin2α (B, π, ππ): new! Some fit results [fit] =.22.3 +.6 [fit] =.334 +.3.29 sin2β [fit] =.67 +.8.8 (WA measurement: sin2β [c c] =.726 ±.37) γ [fit] = (57 ± 9) (Belle: γ = (8 ± 25) with B + D ( ) K + ) α [fit] = (98 ± 6)... what about the measurement? Assessing the Impact of the Asymmetric B Factories (page 3)
3. Charmless decays: NEW α measurement Isospin analysis with B ππ, and Dalitz with π decays Confidence level.2.8.6.4 ICHEP 24 B ππ (S ππ, C ππ combined) B π Combined B CKM fit.5.5 -.5 Standard CKM Fit sin 2β α γ β confidence level.9.8.7.6.5.4.3.2 2 4 6 8 2 4 6 8 α (deg) - ICHEP 24 B ππ: triangular isospin relation, Penguin important α from B ππ, π, -.5 - -.5.5.5 2 = sin 2 (α α eff ) ( B BGLSS) X Improvement thanks to the Cππ measurement (see M. Cristinziani s talk) B : Penguin much smaller than in ππ = More precise measurement (see C. Dallapiccola s talk) B π: Dalitz analysis (pentagonal isospin relation) = Hypotheses needed Combined : α = ( 2 +2 ).2. Assessing the Impact of the Asymmetric B Factories (page 4)
Standard Model :-) 3.2 Charmless decays: testing models C.8.6.4.2 -.2 -.4 -.6 -.8 shaded areas have CL >.5,.32 Winter 24, CKM fit -.5..5.2.25 B x -5 B π π : (B, C ππ) plane No need to deal with mirror sol. of α Errors extrapolated at ab = Still a long way to exclude SM QCD Factorisation BBNS (Nucl. Phys. B66, 245 (2)).8.6.4.2 -.2 -.4 Winter 24 γ shaded areas have CL >.5,.32,.9 α Standard CKM Fit -.4 -.2.2.4.6.8 β ππ/kπ (QCD FA) Combined fit with B ππ and Kπ =.82 +.45.47 =.332 +.32.36 γ = ( 62 +6 9) : close to γ[fit] = Impressive agreement with the standard CKM fit and competitive precision!! Assessing the Impact of the Asymmetric B Factories (page 5)
3.3 QCD Factorization Data Driven Predictions for the ππ and Kπ System Fit on each variable, ignoring its measurement Standard CKM fit included Experiment QCD FA (fit) QCD FA (theo) Experiment QCD FA (fit) QCD FA (theo) B(π + π ) 4.6 ±.4 B(π + π ) 5.5 ±.6 B(π π ).3 ±.3 B(K + π ) 8.2 ±.8 B(K + π ) 2. ±.8 B(K π + ) 24. ±.3 B(K π ).5 ± ICHEP 24 C(π + π ).32 ±. S(π + π ).56 ±.4 C(K π ).6 ±.8 ±.6 S(K S π ).35 +.3.33 ±.4 (π + π ). ±.9 (K + π ).4 ±.24 (K + π ).8 ±.5 (K π + ).5 ±.4 ICHEP 24 5 5 2 25 -.25 - -.75 -.5 -.25.25.5.75 Branching Fraction ( 6 ) Measurement from BABAR Cππ Prediction Cππ =.2 ±.56 =.6 ±.2 = Fair agreement beetween predictions and experimental measurements! WARNING!! Radiative corrections mostly not accounted for mixing-induced and direct CP violation Assessing the Impact of the Asymmetric B Factories (page 6)
4 New Physics in B B mixing Analysis and inputs Two additional parameters: (Phys. Lett. B47, 37 (997)) r 2 d ei2θ d = B H full eff B B H SM eff B = Model independent Constraints on CKM ( and ) and NP (r 2 d and 2θ d) Inputs: SM: V ub, V cb, tan γ (B + D ( ) K + ); NP: sin(2β + 2θ d + (2)γ) (B D ( )± π /B ), sin(2β + 2θ d ) (B J/ψ K ), m d (r 2 d), A SL (r 2 d) Results.5 Standard CKM Fit shaded areas have CL >.5,.32,.9 cos(2β + 2θd ) (B J/ψ K ) SM values: r 2 d = and 2θ d =.5 -.5 3 4 2 5 6 8 7 2θ d (deg) 5 5-5 shaded areas have CL >.5,.32,.9 - ICHEP 24 New Physics in B B mixing -.5 - -.5.5.5 2 - -5 ICHEP 24 New Physics in B B mixing 2 3 4 5 6 7 8 9 = Preferred region consistent with SM = NP in B B mixing significantly constrained = Would largely benefit from improved measurements of α and γ r d 2 Assessing the Impact of the Asymmetric B Factories (page 7)