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Study of B Hadron Decays in pQCD Approach

Investigating B hadron decays in pQCD approach by Run-Hui Li with contributions to CKM elements, CP violation, hadron spectrum, and new physics effects. Detailed study of leptonic, nonleptonic, and semileptonic decays at quark level. Analyses of loop effects, Wilson coefficients, and contributions to B decays understanding. Exploration of different decay mechanisms and reliable perturbative calculations.

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Study of B Hadron Decays in pQCD Approach

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  1. Study of in pQCD approach Run-Hui Li Yonsei University C.S. Kim, R.H. Li, and Y. Li, arXiv:1106.2711, submitted to JHEP. Run-Hui Li @ Yonsei

  2. Content • Bacground • decay -- Motivation -- Contributions -- Results • Conclusion Run-Hui Li @ Yonsei

  3. b Physics • Physics in b hadron decays • Scale high enough to active perturbative calculations. • Test SM • Extract CKM elements • Study CP Violation • Study hadron spectrum • Hints and constraints for NP Run-Hui Li @ Yonsei

  4. Three kinds of decays Leptonic decay Nonleptonic decay Semileptonic decay Run-Hui Li @ Yonsei

  5. At quark level, induced by • Loop level effects in SM • Expected to be sensitive to NP effects Most intensively studied semileptonic decays: Exclusive decays Inclusive decays • At quark level, induced by • Loop level effects in SM • Expected to be sensitive to NP effects Tree level, different from the above. Run-Hui Li @ Yonsei

  6. Suppressed by Annihilation Emission Mechanism of Why ? Two mechanisms in two body nonleptonic B decays Nucl. Phys. B 612,25(2001). Different approaches have different comprehension B B Run-Hui Li @ Yonsei

  7. Contributions to Resonant contribution (long distance) Loop contribution Run-Hui Li @ Yonsei

  8. Effective operator Effective Hamiltonian & Wilson coefficients Run-Hui Li @ Yonsei

  9. Wilson coefficient Effective Hamiltonian & Wilson coefficients Charged Current The effective Hamiltonian has the form Run-Hui Li @ Yonsei

  10. : inclination [azimuth] coordinate of Run-Hui Li @ Yonsei

  11. The remaining thing: calculate the hadronic part Perturbative and nonperturbative dynamics D B Small: perturbative part dominant Large: nonperturbative part dominant Calculate it in the small region in pQCD Run-Hui Li @ Yonsei

  12. Expressions for hadronic part in pQCD Run-Hui Li @ Yonsei

  13. Kinematics region starts from • Pole –like structure appears near • Low energy muons are difficult to be observed at detectors Results as start • Avoiding the resonant contributions • Ensuring that the perturbative calculation is reliable as end Run-Hui Li @ Yonsei

  14. The error is from , which indicates the corrections from high order corrections. The perturbative calculation is still reliable. in pQCD arXiv: 0911.2399 Run-Hui Li @ Yonsei

  15. Conclusion • is studied in pQCD approach. • This decay is pure annihilation type, and help us to understand the contributions in B decays. • The BR at is , which is easy to be observed at the B factories and LHCb experiments. Run-Hui Li @ Yonsei

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