准二体B→P(K+K−,π+π−)以f0(980)共振衰减

IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy
Ya-Xin Wang, Jun-Peng Wang, Ying Li, Zhi-Tian Zou
{"title":"准二体B→P(K+K−,π+π−)以f0(980)共振衰减","authors":"Ya-Xin Wang, Jun-Peng Wang, Ying Li, Zhi-Tian Zou","doi":"10.1103/physrevd.111.053009","DOIUrl":null,"url":null,"abstract":"In this study, we investigate the C</a:mi>P</a:mi></a:math>-averaged branching fractions and direct <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>C</c:mi><c:mi>P</c:mi></c:math> asymmetries in the quasi-two-body decays <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>B</e:mi><e:mo stretchy=\"false\">→</e:mo><e:mi>P</e:mi><e:mo stretchy=\"false\">(</e:mo><e:msub><e:mi>f</e:mi><e:mn>0</e:mn></e:msub><e:mo stretchy=\"false\">(</e:mo><e:mn>980</e:mn><e:mo stretchy=\"false\">)</e:mo><e:mo stretchy=\"false\">→</e:mo><e:mo stretchy=\"false\">)</e:mo><e:mo stretchy=\"false\">(</e:mo><e:msup><e:mi>K</e:mi><e:mo>+</e:mo></e:msup><e:msup><e:mi>K</e:mi><e:mo>−</e:mo></e:msup><e:mo>,</e:mo><e:msup><e:mi>π</e:mi><e:mo>+</e:mo></e:msup><e:msup><e:mi>π</e:mi><e:mo>−</e:mo></e:msup><e:mo stretchy=\"false\">)</e:mo></e:math> within the framework of the perturbative QCD approach, where <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>P</o:mi></o:math> denotes light pseudoscalar mesons (<q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mi>π</q:mi></q:math>,<s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>K</s:mi></s:math>). The timelike form factor <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msub><u:mi>F</u:mi><u:mi>S</u:mi></u:msub><u:mo stretchy=\"false\">(</u:mo><u:mi>ω</u:mi><u:mo stretchy=\"false\">)</u:mo></u:math>, characterizing final-state interactions between collinear particles in the resonant region, is modeled through the revised relativistic Breit-Wigner formalism for the <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi>S</y:mi></y:math>-wave f</ab:mi>0</ab:mn></ab:msub>(</ab:mo>980</ab:mn>)</ab:mo></ab:math> resonance. Within the Gegenbauer moments of the <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:mi>S</eb:mi></eb:math>-wave two-meson distribution amplitudes constrained by current data, we predict the branching fractions of <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mi>B</gb:mi><gb:mo stretchy=\"false\">→</gb:mo><gb:mi>P</gb:mi><gb:mo stretchy=\"false\">(</gb:mo><gb:msub><gb:mi>f</gb:mi><gb:mn>0</gb:mn></gb:msub><gb:mo stretchy=\"false\">(</gb:mo><gb:mn>980</gb:mn><gb:mo stretchy=\"false\">)</gb:mo><gb:mo stretchy=\"false\">→</gb:mo><gb:mo stretchy=\"false\">)</gb:mo><gb:mo stretchy=\"false\">(</gb:mo><gb:msup><gb:mi>K</gb:mi><gb:mo>+</gb:mo></gb:msup><gb:msup><gb:mi>K</gb:mi><gb:mo>−</gb:mo></gb:msup><gb:mo>,</gb:mo><gb:msup><gb:mi>π</gb:mi><gb:mo>+</gb:mo></gb:msup><gb:msup><gb:mi>π</gb:mi><gb:mo>−</gb:mo></gb:msup><gb:mo stretchy=\"false\">)</gb:mo></gb:math> to lie in the range of <qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:msup><qb:mn>10</qb:mn><qb:mrow><qb:mo>−</qb:mo><qb:mn>8</qb:mn></qb:mrow></qb:msup></qb:math> to <sb:math xmlns:sb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sb:msup><sb:mn>10</sb:mn><sb:mrow><sb:mo>−</sb:mo><sb:mn>6</sb:mn></sb:mrow></sb:msup></sb:math>. Our calculations reveal that our theoretical results for some decay modes exhibit satisfactory agreement with existing measurements from the and Belle collaborations. Furthermore, we extract the corresponding branching fractions of <ub:math xmlns:ub=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ub:mi>B</ub:mi><ub:mo stretchy=\"false\">→</ub:mo><ub:mi>P</ub:mi><ub:msub><ub:mi>f</ub:mi><ub:mn>0</ub:mn></ub:msub><ub:mo stretchy=\"false\">(</ub:mo><ub:mn>980</ub:mn><ub:mo stretchy=\"false\">)</ub:mo></ub:math> decays from the quasi-two-body counterparts <zb:math xmlns:zb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><zb:mi>B</zb:mi><zb:mo stretchy=\"false\">→</zb:mo><zb:mi>P</zb:mi><zb:mo stretchy=\"false\">(</zb:mo><zb:msub><zb:mi>f</zb:mi><zb:mn>0</zb:mn></zb:msub><zb:mo stretchy=\"false\">(</zb:mo><zb:mn>980</zb:mn><zb:mo stretchy=\"false\">)</zb:mo><zb:mo stretchy=\"false\">→</zb:mo><zb:mo stretchy=\"false\">)</zb:mo><zb:msup><zb:mi>π</zb:mi><zb:mo>+</zb:mo></zb:msup><zb:msup><zb:mi>π</zb:mi><zb:mo>−</zb:mo></zb:msup></zb:math> rather than <hc:math xmlns:hc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hc:mi>B</hc:mi><hc:mo stretchy=\"false\">→</hc:mo><hc:mi>P</hc:mi><hc:mo stretchy=\"false\">(</hc:mo><hc:msub><hc:mi>f</hc:mi><hc:mn>0</hc:mn></hc:msub><hc:mo stretchy=\"false\">(</hc:mo><hc:mn>980</hc:mn><hc:mo stretchy=\"false\">)</hc:mo><hc:mo stretchy=\"false\">→</hc:mo><hc:mo stretchy=\"false\">)</hc:mo><hc:msup><hc:mi>K</hc:mi><hc:mo>+</hc:mo></hc:msup><hc:msup><hc:mi>K</hc:mi><hc:mo>−</hc:mo></hc:msup></hc:math>. All predictions are awaiting experimental verification in current and upcoming collider experiments. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"23 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi-two-body B→P(K+K−,π+π−) decays with f0(980) resonance\",\"authors\":\"Ya-Xin Wang, Jun-Peng Wang, Ying Li, Zhi-Tian Zou\",\"doi\":\"10.1103/physrevd.111.053009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we investigate the C</a:mi>P</a:mi></a:math>-averaged branching fractions and direct <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi>C</c:mi><c:mi>P</c:mi></c:math> asymmetries in the quasi-two-body decays <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:mi>B</e:mi><e:mo stretchy=\\\"false\\\">→</e:mo><e:mi>P</e:mi><e:mo stretchy=\\\"false\\\">(</e:mo><e:msub><e:mi>f</e:mi><e:mn>0</e:mn></e:msub><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>980</e:mn><e:mo stretchy=\\\"false\\\">)</e:mo><e:mo stretchy=\\\"false\\\">→</e:mo><e:mo stretchy=\\\"false\\\">)</e:mo><e:mo stretchy=\\\"false\\\">(</e:mo><e:msup><e:mi>K</e:mi><e:mo>+</e:mo></e:msup><e:msup><e:mi>K</e:mi><e:mo>−</e:mo></e:msup><e:mo>,</e:mo><e:msup><e:mi>π</e:mi><e:mo>+</e:mo></e:msup><e:msup><e:mi>π</e:mi><e:mo>−</e:mo></e:msup><e:mo stretchy=\\\"false\\\">)</e:mo></e:math> within the framework of the perturbative QCD approach, where <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mi>P</o:mi></o:math> denotes light pseudoscalar mesons (<q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:mi>π</q:mi></q:math>,<s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mi>K</s:mi></s:math>). The timelike form factor <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:msub><u:mi>F</u:mi><u:mi>S</u:mi></u:msub><u:mo stretchy=\\\"false\\\">(</u:mo><u:mi>ω</u:mi><u:mo stretchy=\\\"false\\\">)</u:mo></u:math>, characterizing final-state interactions between collinear particles in the resonant region, is modeled through the revised relativistic Breit-Wigner formalism for the <y:math xmlns:y=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><y:mi>S</y:mi></y:math>-wave f</ab:mi>0</ab:mn></ab:msub>(</ab:mo>980</ab:mn>)</ab:mo></ab:math> resonance. Within the Gegenbauer moments of the <eb:math xmlns:eb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><eb:mi>S</eb:mi></eb:math>-wave two-meson distribution amplitudes constrained by current data, we predict the branching fractions of <gb:math xmlns:gb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><gb:mi>B</gb:mi><gb:mo stretchy=\\\"false\\\">→</gb:mo><gb:mi>P</gb:mi><gb:mo stretchy=\\\"false\\\">(</gb:mo><gb:msub><gb:mi>f</gb:mi><gb:mn>0</gb:mn></gb:msub><gb:mo stretchy=\\\"false\\\">(</gb:mo><gb:mn>980</gb:mn><gb:mo stretchy=\\\"false\\\">)</gb:mo><gb:mo stretchy=\\\"false\\\">→</gb:mo><gb:mo stretchy=\\\"false\\\">)</gb:mo><gb:mo stretchy=\\\"false\\\">(</gb:mo><gb:msup><gb:mi>K</gb:mi><gb:mo>+</gb:mo></gb:msup><gb:msup><gb:mi>K</gb:mi><gb:mo>−</gb:mo></gb:msup><gb:mo>,</gb:mo><gb:msup><gb:mi>π</gb:mi><gb:mo>+</gb:mo></gb:msup><gb:msup><gb:mi>π</gb:mi><gb:mo>−</gb:mo></gb:msup><gb:mo stretchy=\\\"false\\\">)</gb:mo></gb:math> to lie in the range of <qb:math xmlns:qb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><qb:msup><qb:mn>10</qb:mn><qb:mrow><qb:mo>−</qb:mo><qb:mn>8</qb:mn></qb:mrow></qb:msup></qb:math> to <sb:math xmlns:sb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><sb:msup><sb:mn>10</sb:mn><sb:mrow><sb:mo>−</sb:mo><sb:mn>6</sb:mn></sb:mrow></sb:msup></sb:math>. Our calculations reveal that our theoretical results for some decay modes exhibit satisfactory agreement with existing measurements from the and Belle collaborations. Furthermore, we extract the corresponding branching fractions of <ub:math xmlns:ub=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ub:mi>B</ub:mi><ub:mo stretchy=\\\"false\\\">→</ub:mo><ub:mi>P</ub:mi><ub:msub><ub:mi>f</ub:mi><ub:mn>0</ub:mn></ub:msub><ub:mo stretchy=\\\"false\\\">(</ub:mo><ub:mn>980</ub:mn><ub:mo stretchy=\\\"false\\\">)</ub:mo></ub:math> decays from the quasi-two-body counterparts <zb:math xmlns:zb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><zb:mi>B</zb:mi><zb:mo stretchy=\\\"false\\\">→</zb:mo><zb:mi>P</zb:mi><zb:mo stretchy=\\\"false\\\">(</zb:mo><zb:msub><zb:mi>f</zb:mi><zb:mn>0</zb:mn></zb:msub><zb:mo stretchy=\\\"false\\\">(</zb:mo><zb:mn>980</zb:mn><zb:mo stretchy=\\\"false\\\">)</zb:mo><zb:mo stretchy=\\\"false\\\">→</zb:mo><zb:mo stretchy=\\\"false\\\">)</zb:mo><zb:msup><zb:mi>π</zb:mi><zb:mo>+</zb:mo></zb:msup><zb:msup><zb:mi>π</zb:mi><zb:mo>−</zb:mo></zb:msup></zb:math> rather than <hc:math xmlns:hc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><hc:mi>B</hc:mi><hc:mo stretchy=\\\"false\\\">→</hc:mo><hc:mi>P</hc:mi><hc:mo stretchy=\\\"false\\\">(</hc:mo><hc:msub><hc:mi>f</hc:mi><hc:mn>0</hc:mn></hc:msub><hc:mo stretchy=\\\"false\\\">(</hc:mo><hc:mn>980</hc:mn><hc:mo stretchy=\\\"false\\\">)</hc:mo><hc:mo stretchy=\\\"false\\\">→</hc:mo><hc:mo stretchy=\\\"false\\\">)</hc:mo><hc:msup><hc:mi>K</hc:mi><hc:mo>+</hc:mo></hc:msup><hc:msup><hc:mi>K</hc:mi><hc:mo>−</hc:mo></hc:msup></hc:math>. All predictions are awaiting experimental verification in current and upcoming collider experiments. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.053009\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.053009","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了准二体衰变B→P(f0(980)→)(K+K−,π+π−)在微扰QCD方法框架下的CP平均分支分数和直接CP不对称性,其中P表示轻伪标量介子(π,K)。通过修正的s波f0(980)共振的相对论Breit-Wigner形式,对表征共振区域共线粒子之间最终态相互作用的类时形因子FS(ω)进行了建模。在现有数据约束的s波双介子分布振幅的Gegenbauer矩范围内,我们预测B→P(f0(980)→)(K+K−,π+π−)的分支分数在10−8 ~ 10−6之间。我们的计算表明,我们对某些衰变模式的理论结果与现有的贝儿和贝儿合作的测量结果表现出令人满意的一致性。此外,我们从准二体对应的B→P(f0(980)→)π+π−而不是B→P(f0(980)→)K+K−中提取了B→Pf0(980)衰变的相应分支分数。所有的预测都在等待当前和即将到来的对撞机实验的实验验证。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quasi-two-body B→P(K+K−,π+π−) decays with f0(980) resonance
In this study, we investigate the CP-averaged branching fractions and direct CP asymmetries in the quasi-two-body decays BP(f0(980))(K+K,π+π) within the framework of the perturbative QCD approach, where P denotes light pseudoscalar mesons (π,K). The timelike form factor FS(ω), characterizing final-state interactions between collinear particles in the resonant region, is modeled through the revised relativistic Breit-Wigner formalism for the S-wave f0(980) resonance. Within the Gegenbauer moments of the S-wave two-meson distribution amplitudes constrained by current data, we predict the branching fractions of BP(f0(980))(K+K,π+π) to lie in the range of 108 to 106. Our calculations reveal that our theoretical results for some decay modes exhibit satisfactory agreement with existing measurements from the and Belle collaborations. Furthermore, we extract the corresponding branching fractions of BPf0(980) decays from the quasi-two-body counterparts BP(f0(980))π+π rather than BP(f0(980))K+K. All predictions are awaiting experimental verification in current and upcoming collider experiments. Published by the American Physical Society 2025
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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