{"title":"η−η′ mixing and its application in the B+ , D+ , Ds+→η(′)ℓ+νℓ decays","authors":"Yu-Jie Zhang, Xing-Gang Wu, Dan-Dan Hu, Long Zeng","doi":"10.1103/b51l-qdlg","DOIUrl":null,"url":null,"abstract":"In this paper, we take into account the intrinsic charm and gluonic contents into the η</a:mi>−</a:mo>η</a:mi></a:mrow>′</a:mo></a:mrow></a:msup></a:mrow></a:math> mixing scheme and formulate the tetramixing <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>η</c:mi><c:mo>−</c:mo><c:msup><c:mi>η</c:mi><c:mo>′</c:mo></c:msup><c:mo>−</c:mo><c:mi>G</c:mi><c:mo>−</c:mo><c:msub><c:mi>η</c:mi><c:mi>c</c:mi></c:msub></c:math> to study the mixing properties of <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msup><e:mi>η</e:mi><e:mrow><e:mo stretchy=\"false\">(</e:mo><e:mo>′</e:mo><e:mo stretchy=\"false\">)</e:mo></e:mrow></e:msup></e:math> mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>B</i:mi><i:mo>+</i:mo></i:msup><i:mo>/</i:mo><i:msup><i:mi>D</i:mi><i:mo>+</i:mo></i:msup><i:mo>/</i:mo><i:msubsup><i:mi>D</i:mi><i:mi>s</i:mi><i:mo>+</i:mo></i:msubsup><i:mo stretchy=\"false\">→</i:mo><i:msup><i:mi>η</i:mi><i:mrow><i:mo stretchy=\"false\">(</i:mo><i:mo>′</i:mo><i:mo stretchy=\"false\">)</i:mo></i:mrow></i:msup></i:math> within the quantum chromodynamics (QCD) light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calculate the decay widths and branching fractions of the semileptonic decays <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:msup><n:mi>B</n:mi><n:mo>+</n:mo></n:msup><n:mo>/</n:mo><n:msup><n:mi>D</n:mi><n:mo>+</n:mo></n:msup><n:mo>/</n:mo><n:msubsup><n:mi>D</n:mi><n:mi>s</n:mi><n:mo>+</n:mo></n:msubsup><n:mo stretchy=\"false\">→</n:mo><n:msup><n:mi>η</n:mi><n:mrow><n:mo stretchy=\"false\">(</n:mo><n:mo>′</n:mo><n:mo stretchy=\"false\">)</n:mo></n:mrow></n:msup><n:msup><n:mo>ℓ</n:mo><n:mo>+</n:mo></n:msup><n:msub><n:mi>ν</n:mi><n:mo>ℓ</n:mo></n:msub></n:math>. Our results are consistent with the recent Belle and BES-III measurements within reasonable errors.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"120 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-10-02","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/b51l-qdlg","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
Abstract
In this paper, we take into account the intrinsic charm and gluonic contents into the η−η′ mixing scheme and formulate the tetramixing η−η′−G−ηc to study the mixing properties of η(′) mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of B+/D+/Ds+→η(′) within the quantum chromodynamics (QCD) light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calculate the decay widths and branching fractions of the semileptonic decays B+/D+/Ds+→η(′)ℓ+νℓ. Our results are consistent with the recent Belle and BES-III measurements within reasonable errors.
本文在η - η混合方案中考虑了本征粲数和胶子含量,建立了四混合η - η - G - η - c,研究了η介子的混合性质。利用新导出的混合参数,我们计算了量子色动力学(QCD)光锥求和规则中B+/D+/Ds+→η(')的跃迁形状因子(TFFs),直至次一级QCD修正和扭转-4贡献。利用外推的TFFs,我们计算了半光子衰变B+/D+/Ds+→η(′)r +ν r的衰变宽度和分支分数。我们的结果与最近的Belle和BES-III测量结果在合理的误差范围内一致。
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.