Academic Journal

Scattering amplitudes for all masses and spins

التفاصيل البيبلوغرافية
العنوان: Scattering amplitudes for all masses and spins
المؤلفون: Nima Arkani-Hamed, Tzu-Chen Huang, Yu-tin Huang
المصدر: Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-77 (2021)
بيانات النشر: SpringerOpen, 2021.
سنة النشر: 2021
المجموعة: LCC:Nuclear and particle physics. Atomic energy. Radioactivity
مصطلحات موضوعية: Scattering Amplitudes, Higher Spin Gravity, Higher Spin Symmetry, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
الوصف: Abstract We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an extra SU(2) little group index for massive particles, with the amplitudes for spin S particles transforming as symmetric rank 2S tensors. We systematically characterise all possible three particle amplitudes compatible with Poincare symmetry. Unitarity, in the form of consistent factorization, imposes algebraic conditions that can be used to construct all possible four-particle tree amplitudes. This also gives us a convenient basis in which to expand all possible four-particle amplitudes in terms of what can be called “spinning polynomials”. Many general results of quantum field theory follow the analysis of four-particle scattering, ranging from the set of all possible consistent theories for massless particles, to spin-statistics, and the Weinberg-Witten theorem. We also find a transparent understanding for why massive particles of sufficiently high spin cannot be “elementary”. The Higgs and Super-Higgs mechanisms are naturally discovered as an infrared unification of many disparate helicity amplitudes into a smaller number of massive amplitudes, with a simple understanding for why this can’t be extended to Higgsing for gravitons. We illustrate a number of applications of the formalism at one-loop, giving few-line computations of the electron (g − 2) as well as the beta function and rational terms in QCD. “Off-shell” observables like correlation functions and form-factors can be thought of as scattering amplitudes with external “probe” particles of general mass and spin, so all these objects — amplitudes, form factors and correlators, can be studied from a common on-shell perspective.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1029-8479
Relation: https://doaj.org/toc/1029-8479
DOI: 10.1007/JHEP11(2021)070
URL الوصول: https://doaj.org/article/9a9ac466fab841ff982fd6b5915ad8f4
رقم الانضمام: edsdoj.9a9ac466fab841ff982fd6b5915ad8f4
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:10298479
DOI:10.1007/JHEP11(2021)070