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Charmless hadronic B s Decays

Charmless hadronic B s Decays. The study of. Cai-Dian Lü (IHEP, Beijing). hep-ph/0703162. Thanks Ali, Kramer and Li, Shen,Wang. Outline. Introduction and motivation BRs and Direct CP asymmetry Test of SU(3) breaking by charmless B 0 and B s decays in pQCD approach

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Charmless hadronic B s Decays

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  1. Charmless hadronic Bs Decays The study of Cai-Dian Lü (IHEP, Beijing) hep-ph/0703162 Thanks Ali, Kramer and Li, Shen,Wang Moriond

  2. Outline • Introduction and motivation • BRs and Direct CP asymmetry • Test of SU(3) breaking by charmless B0 and Bs decays in pQCD approach • Some Bs channels for /3 measurement • Summary Moriond

  3. Picture of PQCD Approach 4-quark operator b Six quark interaction inside the dotted line Moriond

  4. pQCD approach based on kT factorization Do not need form factor inputs • All diagrams using the same wave functions • (same order in sexpansion) • All channels use the same wave functions • Number of parameters reduced Moriond

  5. CP Violation in B  (K)(real prediction before exp.) (2001) Moriond

  6. pQCD approach in B decays • pQCD approach successfully describe the B0 and B+ decays • Most of the branching ratios agree well with experiments • The right direct CP asymmetry sign with the experiment Using the constrained parameters determined here to predict Bs decays Moriond

  7. Bs distribution amplitude b=0.45 b =0.50 b =0.55 b=0.4 GeV for B meson = momentum fraction Moriond

  8. Form factors derived from light cone wave functions Larger fBs, but smaller inverse moment of Bs meson distribution amplitude QCDF: Moriond

  9. BR (x 10–6) Moriond

  10. BR (x 10–6) Moriond

  11. Bs PV BR (x 10–6) Moriond

  12. Bs VV BR (x 10–6) Moriond

  13. Bs PV BR (x 10–6) Moriond

  14. Three measurements of BRs in Bs SCET QCDF PQCD EXP CDF BsK– pi+ 4.9±1.8 10±6 11 ±6 5.0±1.3 BsK– K+ 18±7 23±27 17 ±9 24 ± 5 Bsphi phi 22 ±30 33 ±13 14 ± 8 |Vub| (10–3) = 3.69  4.31 34 Moriond

  15. First measurement of CP in Bs BsK– pi+ SCET QCDF PQCD EXP 20 ± 26 –6.7 ± 1630 ± 6 39 ± 15 ± 8 pQCD agree with EXP in CP Moriond

  16. vs A Moriond

  17. vs S Moriond

  18. LO pQCD vs AK Moriond

  19. NLO pQCD vs AK Moriond

  20. U-spin symmetry (Gronau,Rosner,Lipkin) = –1 • Results from pQCD • Experimental data = 0 Moriond

  21. R3 vs  Red area is pQCD prediction; Shaded area is exp. Moriond

  22. SU(3) symmetry + u Bd(s) –(K–) d(s) Only leading contribution is related by simple SU(3) Moriond

  23. U-spin, SU(3) • T = tree PA = penguin annihilation • P = QCD penguin PEW= color suppressed • E = W exchange electroweak penguin Moriond

  24. SU(3) breaking and relative size of different contributions • CKM matrix elements already factored out • SU(3) breaking is not negligible Moriond

  25. Bs  0 KS • If tree dominant (Vub), good for gamma measuremnt. • However, Color suppressed tree is comparable with QCD penguin contribution • Direct CP large QCDF PQCD 25 ± 60 % 97 ± 30 % Not good for gamma measurement Moriond

  26. Bs 0 (Fleischer 1994) • I = 0  I = 1 •  I = 1 • Both tree and electroweak penguin can give  I = 1 (QCD penguin  I =0) • Like B+  pi+pi0, only  I =3/2 • There should be only one strong phase, then no relative strong phase between amplitudes Moriond

  27. Bs 0 • Color suppressed tree is comparable with electroweak penguin contribution • Direct CP small QCDF PQCD 27±40 % 9 ± 2 % good for /3 measurement QCDF PQCD BR(10–7) 1.2 2.0 Moriond

  28. Polarizations Moriond

  29. Summary • PQCD can give the right sign for CP asymmetry the strong phase from PQCD should be the dominant one. • The SU(3) breaking effects are not very small as expected Moriond

  30. Thank you! Moriond

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