Yong-Kang Huang, Yue-Long Shen, Chao Wang, Yu-Ming Wang
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Both the hard functions and the jet functions in the perturbative factorization formulas from the short-distance fluctuations at the two distinct scales <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:msub><f:mi>m</f:mi><f:mi>b</f:mi></f:msub></f:math> and <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:msqrt><h:mrow><h:msub><h:mi>m</h:mi><h:mi>b</h:mi></h:msub><h:mi mathvariant=\"normal\">Λ</h:mi></h:mrow></h:msqrt></h:math> are determined at <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi mathvariant=\"script\">O</k:mi><k:mo stretchy=\"false\">(</k:mo><k:msub><k:mi>α</k:mi><k:mi>s</k:mi></k:msub><k:mo stretchy=\"false\">)</k:mo></k:math>. We then demonstrate that the one-loop weak annihilation correction can bring about the noticeable impacts on theory predictions for the <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi>C</p:mi><p:mi>P</p:mi></p:math> asymmetries and the isospin asymmetry in the <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><r:mi>B</r:mi><r:mo stretchy=\"false\">→</r:mo><r:mi>π</r:mi><r:msup><r:mo>ℓ</r:mo><r:mo>+</r:mo></r:msup><r:msup><r:mo>ℓ</r:mo><r:mo>−</r:mo></r:msup></r:math> decays. <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":20069,"journal":{"name":"Physical review letters","volume":"18 1","pages":""},"PeriodicalIF":9.0000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Next-to-Leading-Order Weak-Annihilation Correction to Rare B→{K,π}ℓ+ℓ− Decays\",\"authors\":\"Yong-Kang Huang, Yue-Long Shen, Chao Wang, Yu-Ming Wang\",\"doi\":\"10.1103/physrevlett.134.091901\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We accomplish for the first time the next-to-leading-order computation of the weak annihilation contribution to the electroweak penguin decays B</a:mi>→</a:mo>{</a:mo>K</a:mi>,</a:mo>π</a:mi>}</a:mo></a:mrow>ℓ</a:mo>+</a:mo></a:msup>ℓ</a:mo>−</a:mo></a:msup></a:math>, which is an essential missing piece of the complete QCD correction to the matrix elements of hadronic operators in the weak effective Hamiltonian. Both the hard functions and the jet functions in the perturbative factorization formulas from the short-distance fluctuations at the two distinct scales <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:msub><f:mi>m</f:mi><f:mi>b</f:mi></f:msub></f:math> and <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:msqrt><h:mrow><h:msub><h:mi>m</h:mi><h:mi>b</h:mi></h:msub><h:mi mathvariant=\\\"normal\\\">Λ</h:mi></h:mrow></h:msqrt></h:math> are determined at <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi mathvariant=\\\"script\\\">O</k:mi><k:mo stretchy=\\\"false\\\">(</k:mo><k:msub><k:mi>α</k:mi><k:mi>s</k:mi></k:msub><k:mo stretchy=\\\"false\\\">)</k:mo></k:math>. We then demonstrate that the one-loop weak annihilation correction can bring about the noticeable impacts on theory predictions for the <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:mi>C</p:mi><p:mi>P</p:mi></p:math> asymmetries and the isospin asymmetry in the <r:math xmlns:r=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><r:mi>B</r:mi><r:mo stretchy=\\\"false\\\">→</r:mo><r:mi>π</r:mi><r:msup><r:mo>ℓ</r:mo><r:mo>+</r:mo></r:msup><r:msup><r:mo>ℓ</r:mo><r:mo>−</r:mo></r:msup></r:math> decays. <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\":20069,\"journal\":{\"name\":\"Physical review letters\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":9.0000,\"publicationDate\":\"2025-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical review letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevlett.134.091901\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.134.091901","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
我们首次完成了电弱企鹅衰变B→{K，π} r + r−的弱湮灭贡献的次一级计算，这是弱有效哈密顿量中强子算符矩阵元素的完整QCD校正中必不可少的缺失部分。在O（αs）处确定了两个不同尺度mb和mbΛ上短距离波动的微扰分解公式中的硬函数和射流函数。然后，我们证明了单环弱湮灭校正对B→π r + r−衰变中CP不对称和同位旋不对称的理论预测有显著的影响。2025年由美国物理学会出版
Next-to-Leading-Order Weak-Annihilation Correction to Rare B→{K,π}ℓ+ℓ− Decays
We accomplish for the first time the next-to-leading-order computation of the weak annihilation contribution to the electroweak penguin decays B→{K,π}ℓ+ℓ−, which is an essential missing piece of the complete QCD correction to the matrix elements of hadronic operators in the weak effective Hamiltonian. Both the hard functions and the jet functions in the perturbative factorization formulas from the short-distance fluctuations at the two distinct scales mb and mbΛ are determined at O(αs). We then demonstrate that the one-loop weak annihilation correction can bring about the noticeable impacts on theory predictions for the CP asymmetries and the isospin asymmetry in the B→πℓ+ℓ− decays. Published by the American Physical Society2025
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