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Testing New Physics with Unitarity Triangle Fits

Results and analysis from Collaboration Members on testing new physics using unitarity triangle fits in particle physics. Includes measurements of CP-violating parameters, CP-conserving observables, and rare decays.

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Testing New Physics with Unitarity Triangle Fits

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  1. Testing New Physics with Unitarity Triangle Fits Achille Stocchi (LAL/Orsay) SUSY 2005 (The Millenium Window to Particle Physics) Durham 18-23 July 2005

  2. Results based on the work from Collaboration Members : M. Bona, M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi, M. Pierini, P. Roudeau, C. Schiavi, L. Silvestrini, A. Stocchi, V.Vagnoni http://www.utfit.org M. Bona et al. (UTfits Coll.) JHEP07(2005) 028 hep-ph/0501199 M. Bona et al. (UTfits Coll.) paper in preparation

  3. The Unitarity Triangle: radiative decays Xsg,Xdg, Xsll B pp, rp, rr... theo. clean ? B DK +other charmonium Charm Physics (Dalitz) +from Penguins

  4. UTFit within the SM UTFit within the SM (bu)/(bc) 2+2 , λ1 ,F(1),… Λ ρ η K [(1–)+ P] BK ρ η 2 md (1– )2 + 2 fB BB ρ η md/ ms (1– )2 + 2 ξ ρ η ACP(J/ψ ,KS) sin(2β) -

  5. UTFit within the SM ρ = 0.190 ± 0.044 η = 0.349 ± 0.024

  6. UTFit within the SM Crucial Test of the SM in the quarks sector determination of CP violating parameters measuring CP-conserving observables DONE!! CP-violating observables was/is the strong motivation for the B-Factories sin2b = 0.726 ± 0.037 B  J/y K0 Coherent picture of CP Violation in SM from sides-only We are probably beyond the era of « alternatives» to the CKM picture. NP should appear as «corrections» to the CKM picture

  7. UTFit within the SM B-Factories has also shown that the other angles can be measured. UT with angles only g a sin(2b+g) cos2b sin(2b) We are already well beyond the first phase.

  8. UTFit within the SM All available information together

  9. Fit with NP independent variables If we use only Tree level processes -which can be assumed to be NP free- It is very important to improve Vub/Vcb from s.l decays g from tree level proceses (similar plot in Botella et al. hep-ph/0502133)

  10. Fit in a NP model independent approach DF=2 Parametrizing NP physics in DF=2 processes 5 new free parameters Cs,js Bs mixing Cd,jd Bd mixing CeK K mixing Constraints Not yet available Today : fit possible with 6 contraints and 5 free parameters (r, h, Cd,jd ,CeK)

  11. Using Fit in a NP model independent approach Vub/Vcb Dmd ACP (J/Y K) g (DK) eK a a SM-like a a

  12. Fit in a NP model independent approach Using Vub/Vcb Dmd ACP (J/Y K) g (DK) eK ASL a cos2b NP solution 7% SM-likesolution 93%

  13. Fit in a NP model independent approach fBd = (0.1 ± 3.1)o Ce = 1.07 ± 0.25 CBd = 1.25± 0.45 NP in DB=2 and DS=2 could be up to 50% wrt SM only if has the same phase of the SM Taking as maximal effect 2s(fBd) ~6o for the new phase (fBd)  NP can only contribute at 10%

  14. TWO POSSIBLE SCENARIOS MFV New CP in bs What to do ? - Improvements existing measurements - DF=1 Penguins transitions - The Bs physics (LHCb) - Rare decays (not discussed in this talk) MFV

  15. MFV Universal Unitarity Triangle : generalised SM analysis and MFV MFV = no additional flavour mixing Only mixing processes are sensitive to NP For UUT we do not use eK and Dmd in the fit ρ = 0.191 ± 0.046 from UUT fit η = 0.353 ± 0.028 from UUT fit Starting point for studies of rare decays see : Bobeth et al. hep-ph/0505110 Almost as good as the SM !!

  16. MFV In models with one Higgs doublet or low/moderate tanb (D’Ambrosio et al. hep-ph/0207036) NP enters as additional contribution in top box diagram L0 is the equivalent SM scale 0.29  0.44 [-1.05,0.81]@95% Already now, in some specific Model we start to explore interesting NP scale

  17. MFV 2Higgs + large tanb also bottom Yukawa coupling must be considered

  18. b  s transitions (DF=1) All modes (except ’Ks) are less than 1.5 s away from sin(2b) from J/ Ks

  19. CKM2010 CKM Matrix in ≤2010-where we will be We have supposed that - B Factories will collect 2ab-1 - two years data taking at LHCb (4fb-1) Inputs • b < 1° from charmonium • ~ 7 ° • ~ 5° (half B-factories/half LHCb) fBBB ~ 5% x ~ 3% BK ~ 5% Vub ~ 5% Vcb ~ 1% Dms at 0.3ps-1 (Tevatron or/and LHCb) sin2c ± 0.045 Outputs

  20. CKM2010 In MFV Now  0.44 2010  0.26

  21. CKM2010 In the « sad » hypotesis the SM still work in 2010…. φBd = (-0.1 ± 1.3)o CBd = 0.98 ± 0.14 φBs = (0.0 ± 1.3)o CBs = 0.99 ± 0.12 in 2010 : same and impressive precision on b d and b s transitions

  22. Conclusions UTfits are in a mature age with recent precise measurement of UT sides and angles Ready to precisely test SM and NP fBd ~ 0 Strong indication in favour of MFV NP effects still possible in b s transitions (Dms, ACP(J/Yf), DF=1….)

  23. LAST MINUT Vub/Vcb New inputs are coming for EPS05 and situation is slightly different…. sin2b Results of yesterday night…. Stay tuned ! Still possible surprises improving the existing measurements

  24. Results of yesterday night…. Stay tuned ! Discrepancy 1.5s CBd = 1.10 ± 0.48 φBd = (-4.6 ± 2.6)o

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