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Study of in pQCD approach

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. Content. Bacground decay -- Motivation -- Contributions -- Results Conclusion. b Physics.

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Study of 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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