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Title: Long-distance contribution to {Delta}{Gamma}{sub s} of the B{sub s}-B{sub s} system

Abstract

We estimate the long-distance contribution to the width difference of the B{sub s}-B{sub s} system, based mainly on two-body D{sub s}{sup (*)}D{sub s}{sup (*)} modes and three-body D{sub s}{sup (*)}D{sup (*)}K{sup (*)} modes (and their CP conjugates). Some higher cs resonances are also considered. The contribution to {Delta}{Gamma}{sub s}/{Gamma}{sub s} by two-body modes is (10.2{+-}3.0)%, slightly smaller than the short-distance result of (13.3{+-}3.2)%. The contribution to {Delta}{Gamma}{sub s}/{Gamma}{sub s} by D{sub s0}*(2317), D{sub s1}(2460), and D{sub s1}(2536) resonances is negligible. For the three-body D{sub s}{sup (*)}D{sup (*)}K{sup (*)} modes, we adopt the factorization formalism and model the form factors with off-shell D{sub s}{sup (*)} poles, the D{sub sJ}(2700) resonance, and nonresonant contributions. These three-body modes can arise through current-produced or transition diagrams, but only SU(3)-related D{sub u,d}{sup (*)}D{sup (*)}K modes from the current diagram have been measured so far. The pole model results for D{sub u,d}*D{sup (*)}K agree well with the data, while D{sub u,d}D{sup (*)}K rates agree with the data only within a factor of 2 to 3. All measured D{sub u,d}{sup (*)}D{sup (*)}K rates can be reproduced by including nonresonant contributions. The total {Delta}{Gamma}{sub s}/{Gamma}{sub s} obtained is (16.7{+-}8.5)%, which agrees with the short-distance result within uncertainties. Formore » illustration, we also demonstrate the effect of D{sub sJ}(2700) in modes with D{sup (*)}K{sup *}. In all scenarios, the total {Delta}{Gamma}{sub s}/{Gamma}{sub s} remain consistent with the short-distance result. Our results indicate that (a) the operator product expansion in the short-distance picture is a valid assumption, (b) approximating the B{sub s}{yields}D{sub s}{sup (*)}D{sub s}{sup (*)} decays to saturate {Delta}{Gamma}{sub s} has a large correction, (c) the effect of three-body modes cannot be neglected, and (d) in addition to the D{sub s} and D{sub s}* poles, the D{sub sJ}(2700) resonance also plays an important role in three-body modes. Future experiments are necessary to improve the estimation of {Delta}{Gamma}{sub s} from the long-distance point of view.« less

Authors:
; ;  [1];  [2]
  1. Department of Physics, Chung Yuan Christian University, Chung-Li 32023, Taiwan (China)
  2. (China)
Publication Date:
OSTI Identifier:
21607795
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.074037; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B S MESONS; CORRECTIONS; D S MESONS; FACTORIZATION; FORM FACTORS; KAONS MINUS; OPERATOR PRODUCT EXPANSION; PARTICLE DECAY; RESONANCE; SU-3 GROUPS; BEAUTY MESONS; BEAUTY PARTICLES; BOSONS; CHARM PARTICLES; CHARMED MESONS; DECAY; DIMENSIONLESS NUMBERS; ELEMENTARY PARTICLES; HADRONS; KAONS; LIE GROUPS; MESONS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; SERIES EXPANSION; STRANGE MESONS; STRANGE PARTICLES; SU GROUPS; SYMMETRY GROUPS

Citation Formats

Chua, Chun-Khiang, Hou, Wei-Shu, Shen, Chia-Hsien, and Department of Physics, National Taiwan University, Taipei 10617, Taiwan, Republic of China, National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan. Long-distance contribution to {Delta}{Gamma}{sub s} of the B{sub s}-B{sub s} system. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.074037.
Chua, Chun-Khiang, Hou, Wei-Shu, Shen, Chia-Hsien, & Department of Physics, National Taiwan University, Taipei 10617, Taiwan, Republic of China, National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan. Long-distance contribution to {Delta}{Gamma}{sub s} of the B{sub s}-B{sub s} system. United States. doi:10.1103/PHYSREVD.84.074037.
Chua, Chun-Khiang, Hou, Wei-Shu, Shen, Chia-Hsien, and Department of Physics, National Taiwan University, Taipei 10617, Taiwan, Republic of China, National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan. Sat . "Long-distance contribution to {Delta}{Gamma}{sub s} of the B{sub s}-B{sub s} system". United States. doi:10.1103/PHYSREVD.84.074037.
@article{osti_21607795,
title = {Long-distance contribution to {Delta}{Gamma}{sub s} of the B{sub s}-B{sub s} system},
author = {Chua, Chun-Khiang and Hou, Wei-Shu and Shen, Chia-Hsien and Department of Physics, National Taiwan University, Taipei 10617, Taiwan, Republic of China, National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan},
abstractNote = {We estimate the long-distance contribution to the width difference of the B{sub s}-B{sub s} system, based mainly on two-body D{sub s}{sup (*)}D{sub s}{sup (*)} modes and three-body D{sub s}{sup (*)}D{sup (*)}K{sup (*)} modes (and their CP conjugates). Some higher cs resonances are also considered. The contribution to {Delta}{Gamma}{sub s}/{Gamma}{sub s} by two-body modes is (10.2{+-}3.0)%, slightly smaller than the short-distance result of (13.3{+-}3.2)%. The contribution to {Delta}{Gamma}{sub s}/{Gamma}{sub s} by D{sub s0}*(2317), D{sub s1}(2460), and D{sub s1}(2536) resonances is negligible. For the three-body D{sub s}{sup (*)}D{sup (*)}K{sup (*)} modes, we adopt the factorization formalism and model the form factors with off-shell D{sub s}{sup (*)} poles, the D{sub sJ}(2700) resonance, and nonresonant contributions. These three-body modes can arise through current-produced or transition diagrams, but only SU(3)-related D{sub u,d}{sup (*)}D{sup (*)}K modes from the current diagram have been measured so far. The pole model results for D{sub u,d}*D{sup (*)}K agree well with the data, while D{sub u,d}D{sup (*)}K rates agree with the data only within a factor of 2 to 3. All measured D{sub u,d}{sup (*)}D{sup (*)}K rates can be reproduced by including nonresonant contributions. The total {Delta}{Gamma}{sub s}/{Gamma}{sub s} obtained is (16.7{+-}8.5)%, which agrees with the short-distance result within uncertainties. For illustration, we also demonstrate the effect of D{sub sJ}(2700) in modes with D{sup (*)}K{sup *}. In all scenarios, the total {Delta}{Gamma}{sub s}/{Gamma}{sub s} remain consistent with the short-distance result. Our results indicate that (a) the operator product expansion in the short-distance picture is a valid assumption, (b) approximating the B{sub s}{yields}D{sub s}{sup (*)}D{sub s}{sup (*)} decays to saturate {Delta}{Gamma}{sub s} has a large correction, (c) the effect of three-body modes cannot be neglected, and (d) in addition to the D{sub s} and D{sub s}* poles, the D{sub sJ}(2700) resonance also plays an important role in three-body modes. Future experiments are necessary to improve the estimation of {Delta}{Gamma}{sub s} from the long-distance point of view.},
doi = {10.1103/PHYSREVD.84.074037},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}