Compton-like scattering of a scalar particle with N photons and one graviton

Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude, where all the photons and the graviton are directly attached to...

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Main Authors: Naser Ahmadiniaz, Filippo Maria Balli, Olindo Corradini, José Manuel Dávila, Christian Schubert
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319303633
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spelling doaj-4195184a7ac3435b82ff6f69ecc67fa82020-11-25T02:17:54ZengElsevierNuclear Physics B0550-32132020-01-01950Compton-like scattering of a scalar particle with N photons and one gravitonNaser Ahmadiniaz0Filippo Maria Balli1Olindo Corradini2José Manuel Dávila3Christian Schubert4Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany; Corresponding authors.Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università degli Studi di Modena e Reggio Emilia, Via Campi 213/A, I-41125 Modena, ItalyDipartimento di Scienze Fisiche, Informatiche e Matematiche, Università degli Studi di Modena e Reggio Emilia, Via Campi 213/A, I-41125 Modena, Italy; INFN, Sezione di Bologna, Via Irnerio 46, I-40126 Bologna, Italy; Max-Planck-Institut für Gravitationphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany; Corresponding authors.Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario 100, C.P. 50000, Toluca, MexicoMax-Planck-Institut für Gravitationphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany; Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, C.P. 58040, Morelia, Michoacán, MexicoTree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude, where all the photons and the graviton are directly attached to the scalar line, then derive a “tree replacement” rule to construct the reducible parts of the amplitude which involve irreducible pure N-photon two-scalar amplitudes where one photon line emits the graviton. We test our construction by verifying the on-shell gauge and diffeomorphism Ward identities, at arbitrary N.http://www.sciencedirect.com/science/article/pii/S0550321319303633
collection DOAJ
language English
format Article
sources DOAJ
author Naser Ahmadiniaz
Filippo Maria Balli
Olindo Corradini
José Manuel Dávila
Christian Schubert
spellingShingle Naser Ahmadiniaz
Filippo Maria Balli
Olindo Corradini
José Manuel Dávila
Christian Schubert
Compton-like scattering of a scalar particle with N photons and one graviton
Nuclear Physics B
author_facet Naser Ahmadiniaz
Filippo Maria Balli
Olindo Corradini
José Manuel Dávila
Christian Schubert
author_sort Naser Ahmadiniaz
title Compton-like scattering of a scalar particle with N photons and one graviton
title_short Compton-like scattering of a scalar particle with N photons and one graviton
title_full Compton-like scattering of a scalar particle with N photons and one graviton
title_fullStr Compton-like scattering of a scalar particle with N photons and one graviton
title_full_unstemmed Compton-like scattering of a scalar particle with N photons and one graviton
title_sort compton-like scattering of a scalar particle with n photons and one graviton
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-01-01
description Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude, where all the photons and the graviton are directly attached to the scalar line, then derive a “tree replacement” rule to construct the reducible parts of the amplitude which involve irreducible pure N-photon two-scalar amplitudes where one photon line emits the graviton. We test our construction by verifying the on-shell gauge and diffeomorphism Ward identities, at arbitrary N.
url http://www.sciencedirect.com/science/article/pii/S0550321319303633
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