{"title":"Three point interaction of Dirac fermions with higher spin particles and discrete symmetries","authors":"Kushal Chakraborty, Aakash Kumar, Arnab Rudra, Amey Yeole","doi":"10.1007/JHEP05(2025)057","DOIUrl":null,"url":null,"abstract":"<p>We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any <i>D</i> spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of Spin(<i>D</i> − 1) over the product of two irreducible spinor representations of Spin(<i>D</i> − 2). Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: <i>C</i>, <i>R</i>, and <i>T</i>. We found that in any <i>D</i> = 2<i>m</i> + 1/2<i>m</i>, the interacting theories of a single massive higher spin have a “<i>m</i>” mod 2 (or <i>D</i> mod 4) classification.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 5","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP05(2025)057.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP05(2025)057","RegionNum":1,"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
We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any D spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of Spin(D − 1) over the product of two irreducible spinor representations of Spin(D − 2). Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: C, R, and T. We found that in any D = 2m + 1/2m, the interacting theories of a single massive higher spin have a “m” mod 2 (or D mod 4) classification.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
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Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).