{"title":"Implications on the CP violation of charmless three body decays of bottom baryons from a U -spin analysis","authors":"Wei Wang, Zhi-Peng Xing, Zhen-Xing Zhao","doi":"10.1103/physrevd.111.053006","DOIUrl":null,"url":null,"abstract":"Motivated by recent LHCb measurements of C</a:mi>P</a:mi></a:math> violation in <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi mathvariant=\"normal\">Λ</c:mi><c:mi>b</c:mi></c:msub></c:math> three body decays, we conduct an analysis of <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>C</f:mi><f:mi>P</f:mi></f:math> asymmetry in three body decays of bottom baryons utilizing <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mi>U</h:mi></h:math>-spin symmetry. We first develop a convenient representation that facilitates the incorporation of <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>U</j:mi></j:math>-spin symmetry into our analysis. By integrating weak and strong phases into the derived amplitude, we obtain the <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>C</l:mi><l:mi>P</l:mi></l:math> asymmetry and establish relationships between <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:mi>C</n:mi><n:mi>P</n:mi></n:math> asymmetries in <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi>U</p:mi></p:math>-spin related decay channels. With the help of experimental measurements, we provide numerical predictions for the <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><r:mi>C</r:mi><r:mi>P</r:mi></r:math> asymmetries for other decay channels, particularly <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:msubsup><t:mi mathvariant=\"normal\">Ξ</t:mi><t:mi>b</t:mi><t:mn>0</t:mn></t:msubsup><t:mo stretchy=\"false\">→</t:mo><t:mi mathvariant=\"normal\">Λ</t:mi><t:msup><t:mi>π</t:mi><t:mo>+</t:mo></t:msup><t:msup><t:mi>π</t:mi><t:mo>−</t:mo></t:msup></t:math> under a specific scenario. Furthermore, we provide a quantity that can be used as a null test of the <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mrow><y:mi>SU</y:mi><y:mo stretchy=\"false\">(</y:mo><y:mn>3</y:mn><y:mo stretchy=\"false\">)</y:mo></y:mrow></y:math> symmetry and standard model. Deviations from zero would indicate potential new physics if they exceed the expected magnitude of <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:mrow><cb:mi>SU</cb:mi><cb:mo stretchy=\"false\">(</cb:mo><cb:mn>3</cb:mn><cb:mo stretchy=\"false\">)</cb:mo></cb:mrow></cb:math> breaking effects. These results are valuable for <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mi>C</gb:mi><gb:mi>P</gb:mi></gb:math> violation measurements in baryon decays, and can be tested in future 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":"70 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-21","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.111.053006","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
Motivated by recent LHCb measurements of CP violation in Λb three body decays, we conduct an analysis of CP asymmetry in three body decays of bottom baryons utilizing U-spin symmetry. We first develop a convenient representation that facilitates the incorporation of U-spin symmetry into our analysis. By integrating weak and strong phases into the derived amplitude, we obtain the CP asymmetry and establish relationships between CP asymmetries in U-spin related decay channels. With the help of experimental measurements, we provide numerical predictions for the CP asymmetries for other decay channels, particularly Ξb0→Λπ+π− under a specific scenario. Furthermore, we provide a quantity that can be used as a null test of the SU(3) symmetry and standard model. Deviations from zero would indicate potential new physics if they exceed the expected magnitude of SU(3) breaking effects. These results are valuable for CP violation measurements in baryon decays, and can be tested in future experiments. Published by the American Physical Society2025
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.