Nonleptonic two-body charmless B decays involving a tensor meson in PQCD approach Zhi-Tian Zou( 邹芝田 ), Xin Yu( 余欣 ), C-D Lu( 吕才典 ). Institute of High Energy.

Slides:



Advertisements
Similar presentations
1 The and -Z Exchange Corrections to Parity Violating Elastic Scattering 周海清 / 东南大学物理系 based on PRL99,262001(2007) in collaboration with C.W.Kao, S.N.Yang.
Advertisements

X IN L IU ( 劉新 ) Collaborated with Wei Wang and Yuehong Xie Department of Physics, Jiangsu Normal University 17 th Sep.,
C.D. LuSino-German1 Hadronic B Decays in Perturbative QCD Approach Formalism of perturbative QCD (PQCD) based on k T factorization Direct CP asymmetry.
Direct CP Asymmetries in hadronic D decays Cai-Dian Lü ( 吕才典 ) IHEP, Beijing Based on work collaborated with Hsiang-nan Li, Fu-Sheng Yu, arXiv: ,
1 Charmless Three-body Decays of B Mesons Chun-Khiang Chua Chung Yuan Christian University HEP2007, 20 July 2007, Manchester.
1 QCD Factorization with Final-State Interactions Chun-Khiang Chua Academia Sinica, Taipei 3rd ICFP, Cung-Li, Taiwan.
Hadronic B decays involving tensor mesons Hai-Yang Cheng ( 鄭海揚 ) Academia Sinica Properties of tensor mesons QCD factorization Comparison with experiment.
Rumin Wang G. R.. Lu& Y. D. Yang Work done in collaboration with G. R.. Lu & Y. D. Yang Huazhong Normal University Henan Normal University November 15,
Puzzles in B physics Recent development in PQCD, QCDF, SCET Hsiang-nan Li Academia Sinica, Taiwan presented at Whepp9 Bhubaneswar Jan. 07, 2006.
1.  Motivation  Theoretical framework  Perturbative QCD Approach  Numerical Results  Summary 2.
Properties and Decays of Heavy Flavor S-Wave Hadrons Rohit Dhir Department of Physics, Yonsei University, Seoul Dated:11 th June, 2012.
Branching Ratios of B c Meson Decaying to Vector and Axial-Vector Mesons Rohit Dhir Department of Physics, Yonsei University, Seoul, Korea. Dated:21-Sept-2012.
C.D. LuICFP31 Some progress in PQCD approach Cai-Dian Lü (IHEP, Beijing) Formalism of Perturbative QCD (PQCD) Direct CP asymmetry Polarization in B 
1 Resolving B-CP puzzles in QCD factorization - An overview of charmless hadronic B decays - Hai-Yang Cheng Academia Sinica Based on 3 papers with Chun-Khiang.
C.Q. Geng ( 耿朝強) National Tsing Hua University ( The 3rd Int. Conf. on Flavor Physics, NCU, Oct. 3-8, 2005) T Violation in Baryonic B Decays Outline 1.
Philip J. Clark University of Edinburgh Rare B decays The Royal Society of Edinburgh 4th February 2004.
Method of Regions and Its Applications The Interdisciplinary Center for Theoretical Study, USTC 1 Graduate University of the CAS Deshan Yang.
A window for New Physics in B s →KK decays Joaquim Matias Universitat Autònoma de Barcelona David London & JM, PRD (2004) David London &JM & Javier Virto,
Run-Hui Li Yonsei University Mainly based on R.H. Li, C.D. Lu, and W. Wang, PRD83:
, CCASTQinghua Xu, Shandong University1 Spin effects in fragmentation processes at RHIC Qinghua Xu ( 徐庆华 ) Physics department, Shandong University.
Introduction to Flavor Physics in and beyond the Standard Model
International Conference on QCD and Hadronic Physics, Peking University Pion Electromagnetic Form Factor in the K T Factorization Formulae Xing-Gang.
L. R. Dai (Department of Physics, Liaoning Normal University) Z.Y. Zhang, Y.W. Yu (Institute of High Energy Physics, Beijing, China) Nucleon-nucleon interaction.
Test Z’ Model in Annihilation Type Radiative B Decays Ying Li Yonsei University, Korea Yantai University, China Based on J. Hua, C.S Kim, Y. Li, arxiv:
Axial Vector Meson Emitting Decays of Bc Dated: 12 JUNE, 2012.
K*Λ(1116) Photoproduction and Nucleon resonances K*Λ(1116) Photoproduction and Nucleon resonances Sang-Ho Kim( 金相鎬 ) (NTG, Inha University, Korea) In collaboration.
Yue-Liang Wu (吴岳良) Kavli Institute for Theoretical Physics China (KITPC) State Key Laboratory of Theoretical Physics(SKLTP) Institute of Theoretical Physics.
Luan Cheng (Institute of Particle Physics, Huazhong Normal University) I.Introduction II. Potential Model with Flow III.Flow Effects on Parton Energy Loss.
Twist-3 distribution amplitudes of scalar mesons from QCD sum rules Y.M Wang In collaboration with C.D Lu and H. Zou Institute of High Energy Physics,
Work Report about B to VT Run-Hui Li.
Lecture II Factorization Approaches QCDF and PQCD.
Dian-Yong Chen Institute of Modern Physics, CAS FHNP’15 Beijing Hadronic Loop Contributions to Heavy Quarkonium Decay
Lecture 4 Hadronic heavy-quark decays Hsiang-nan Li Oct. 22,
Radiative penguins at hadron machines Kevin Stenson University of Colorado.
1 A New Physics Study in B  K  & B  K*  Decays National Tsing Hua University, October 23, 2008 Sechul OH ( 吳世哲 ) ( 오세철 ) C.S. Kim, S.O., Y.W. Yoon,
Theories of exclusive B meson decays Hsiang-nan Li Academia Sinica (Taiwan) Presented at Beijing Aug , 2005.
Theoretical tools for non-leptonic B decays
Heavy Quark Energy Loss due to Three-body Scattering in a Quark- Gluon Plasma Wei Liu Texas A&M University  Introduction  Heavy quark scattering in QGP.
Bethe-Salper equation and its applications Guo-Li Wang Department of Physics, Harbin Institute of Technology, China.
Exclusive electroproduction of two pions at HERA V. Aushev (on behalf of the ZEUS Collaboration) April 11-15, 2011 Newport News Marriott at City Center.
Exclusive charmonium production in hard exclusive processes. V.V. Braguta Institute for High Energy Physics Protvino, Russia.
Nita Sinha The Institute of Mathematical Sciences Chennai.
Charmless Two-Body B Decays Involving a Tensor Meson Kwei-Chou Yang Chung-Yuan Christian University, Taiwan The 36th International Conference on High Energy.
1. What data show 2. Polarization analysis & Puzzle ? 3.Results by PQCD & speculation 4. Summary Chuan-Hung Chen Physics Department, National Cheng-Kung.
Yu-Kuo Hsiao Academia Sinica In collaboration with H.Y. Cheng, C.Q. Geng and Chun-Hung Chen Feb. 26, 2008 Outline: Introduction Formalism Results Summary.
Non-Linear Effects in Strong EM Field Alexander Titov Bogoliubov Lab. of Theoretical Physics, JINR, Dubna International.
Some Topics in B Physics Y ing L i Y onsei U niversity, K orea Y antai U nviersity, C hina.
C.D. LuCKM1  /  3 from Charmless B s Decays Cai-Dian Lü (IHEP, Beijing) Thanks A.Ali, G.Kramer and Li, Wang... Testing Uncertainty of.
C.D. LuMoriond1 Charmless hadronic B s Decays Cai-Dian Lü (IHEP, Beijing) Thanks Ali, Kramer and Li, Shen,Wang The study of hep-ph/
seminar at Academia Sinica
Polarization in charmless B VV decays
Selected topics in B physics
YongPyong Winter Conference on Particle Physics
: pQCD analysis in pursuit of determing ϒ
Modification of Fragmentation Function in Strong Interacting Medium
B physics at hadron collider
Revisiting some long-standing puzzles in charmonium decays
Nonleptonic Two Body Decays of Charmed Mesons
Bs → PV decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach Da-cheng Yan Ping Yang, Xin Liu, Zhen-Jun.
Heavy-to-light transitions on the light cone
SCET Insights Into Heavy-to-Light Form Factors
Pseudoscalar Quarkonium Exclusive Decays to Vector Meson Pair Cong-Feng Qiao Graduate.
B. El-Bennich, A. Furman, R. Kamiński, L. Leśniak, B. Loiseau
Spin-singlet Quarkonia at the LHC
Pion transition form factor in the light front quark model
Factorization in some exclusive B meson decays
Calculation of Pure Annihilation Type B Decay in PQCD Approach
Understanding DsJ*(2317) and DsJ(2460)
Run-Hui Li Yonsei University
The decays KS, L into four leptons
Presentation transcript:

Nonleptonic two-body charmless B decays involving a tensor meson in PQCD approach Zhi-Tian Zou( 邹芝田 ), Xin Yu( 余欣 ), C-D Lu( 吕才典 ). Institute of High Energy Physics

Outline Introduction Theoretical framework Numerical Results Discussion Summary

I. Introduction The p-wave tensor mesons with involve nine light meson. The mesons are isovector mesons, isodoublet states and two isosinglet mesons and.

So far, several experimental measurements about B→PT decays have been obtained.

 The charmless B decays into a tensor meson have been studied in the naïve factorization (Phys. Rev. D , Eur.Phys.J.C (695), J. Phys. G , etc).  For the decays with a tensor meson emitted, the nonfactorizbale and annihilation diagrams are important. For this purpose, QCDF(Phys. Rev. D ), PQCD and SCET are suitable.  In this work we shall study charmless Bu(d) to P T decays in the perturbative QCD (PQCD) approach which is based on the KT factorization.

II. Theoretical framework The momenta can be chosen as

The polarization tensors with helicity λ can be constructed as follows the polarization vectors of we used can be written as

The P wave tensor meson can not be created through the local (V-A) or tensor currents.

For b→q ′transtion with q ′=d,s, the weak effective Hamiltonian can be specified as

exp{-S(t)}is Sudukov form factor,which relates the long distance contribution and short one and suppress the long distance effects. Φ(k) is the wave function in the light cone, which is universal H(k,t) is six quark interaction, and it can be calculated perturbatively, and it is process depended. C(t) is wilson coefficient of corresponding four quark operators.

After the integration over momentum, the amplitude can be written as is jet function which smears the end-point singularities on

Diagrams for B →P T decays with a pseudoscalar emitted

Diagrams for B→P T decays with a tensor meson emitted.

The wave functions we used are

III. Numerical Results

The branching ratios of B →P T decays ( ) # #

The direct asymmetries of B →P T decays (%)

IV. Discussion  The predictions of PQCD are larger by one or two orders than that of naïve factorization for penguin-dominated decay modes.  The nonfactorizable and annihilation diagrams are important to these decays with a tensor meson emitted.  For these tree dominated decay modes, the predictions of PQCD are usually small.

 For and decays, we find. It can be explained by the interference between the contribution of and that of.  The interference between f 2 q and f 2 s can bring remarkable changes to these decays involving a f 2 ′ meson.

 For decays, the predictions in PQCD approach are large.

V. Summary We have given the predictions in PQCD approach. It is expected that improved measurements can be obtained and many modes with small branching ratios can be observed. The nonfactorizable and annihilation diagrams are very important to these decays with a tensor meson emitted. The interference between and can bring some remarkable changes to these decays involving a meson.

Thanks for your attention

Fortunately, in PQCD approach, the contributions of the nonfactorizable diagrams with a tensor meson emitted are sizable and larger than those of the nonfactorizable diagrams emitting a pseudoscalar meson. The reason is that the asymmetry of the LCDAs of the tensor meson makes the contributions not cancel each other while the situation is contrary for diagrams emitting a pseudoscalar. The annihilation diagrams are also important and provide sizable contributions. So the branching ratio of these decays with a tensor meson emitted can be sizable as the result of these contributions.