Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism

Abstract We study di-lepton production from a single photon in the presence of a strong constant magnetic field. By the use of the Ritus-basis formalism, we analytically evaluate the photon-to-di-lepton conversion vertex with fully taking into account the non-perturbative interactions between the pr...

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Main Authors: Koichi Hattori, Hidetoshi Taya, Shinsuke Yoshida
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2021)093
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author Koichi Hattori
Hidetoshi Taya
Shinsuke Yoshida
author_facet Koichi Hattori
Hidetoshi Taya
Shinsuke Yoshida
author_sort Koichi Hattori
collection DOAJ
description Abstract We study di-lepton production from a single photon in the presence of a strong constant magnetic field. By the use of the Ritus-basis formalism, we analytically evaluate the photon-to-di-lepton conversion vertex with fully taking into account the non-perturbative interactions between the produced fermions and the strong magnetic field. We show that the di-lepton spectrum becomes anisotropic with respect to the magnetic-field direction and depends on the photon polarization as a manifestation of the vacuum dichroism in a strong magnetic field. According to the energy conservation in the presence of the Landau quantization, not only the transverse momentum of the produced fermions but also the longitudinal momentum is discretized, and the di-lepton spectrum exhibits spike structures as functions of the incident photon energy and the magnetic field strength. We also show that the di-lepton production is strictly prohibited for massless fermions in the lowest Landau levels as an analogue of the so-called helicity suppression.
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spelling doaj.art-98b50eee76d444bea0b958bb28ce1b602022-12-21T22:01:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021114110.1007/JHEP01(2021)093Di-lepton production from a single photon in strong magnetic fields: vacuum dichroismKoichi Hattori0Hidetoshi Taya1Shinsuke Yoshida2Yukawa Institute for Theoretical Physics, Kyoto UniversityResearch and Education Center for Natural Sciences, Keio UniversityGuangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal UniversityAbstract We study di-lepton production from a single photon in the presence of a strong constant magnetic field. By the use of the Ritus-basis formalism, we analytically evaluate the photon-to-di-lepton conversion vertex with fully taking into account the non-perturbative interactions between the produced fermions and the strong magnetic field. We show that the di-lepton spectrum becomes anisotropic with respect to the magnetic-field direction and depends on the photon polarization as a manifestation of the vacuum dichroism in a strong magnetic field. According to the energy conservation in the presence of the Landau quantization, not only the transverse momentum of the produced fermions but also the longitudinal momentum is discretized, and the di-lepton spectrum exhibits spike structures as functions of the incident photon energy and the magnetic field strength. We also show that the di-lepton production is strictly prohibited for massless fermions in the lowest Landau levels as an analogue of the so-called helicity suppression.https://doi.org/10.1007/JHEP01(2021)093Heavy Ion Phenomenology
spellingShingle Koichi Hattori
Hidetoshi Taya
Shinsuke Yoshida
Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
Journal of High Energy Physics
Heavy Ion Phenomenology
title Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
title_full Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
title_fullStr Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
title_full_unstemmed Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
title_short Di-lepton production from a single photon in strong magnetic fields: vacuum dichroism
title_sort di lepton production from a single photon in strong magnetic fields vacuum dichroism
topic Heavy Ion Phenomenology
url https://doi.org/10.1007/JHEP01(2021)093
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AT hidetoshitaya dileptonproductionfromasinglephotoninstrongmagneticfieldsvacuumdichroism
AT shinsukeyoshida dileptonproductionfromasinglephotoninstrongmagneticfieldsvacuumdichroism