Weyl fermion creation by cosmological gravitational wave background at 1-loop

Abstract Weyl fermions of spin 1 2 $$ \frac{1}{2} $$ minimally coupled to Einstein’s gravity in 4 dimensions cannot be produced purely gravitationally in an expanding Universe at tree level. Surprisingly, as we showed in a recent letter [1], this changes at gravitational 1-loop when cosmic perturbat...

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Main Authors: Azadeh Maleknejad, Joachim Kopp
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)023
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author Azadeh Maleknejad
Joachim Kopp
author_facet Azadeh Maleknejad
Joachim Kopp
author_sort Azadeh Maleknejad
collection DOAJ
description Abstract Weyl fermions of spin 1 2 $$ \frac{1}{2} $$ minimally coupled to Einstein’s gravity in 4 dimensions cannot be produced purely gravitationally in an expanding Universe at tree level. Surprisingly, as we showed in a recent letter [1], this changes at gravitational 1-loop when cosmic perturbations, like a gravitational wave background, are present. Such a background introduces a new scale, thereby breaking the fermions’ conformal invariance. This leads to a non-vanishing gravitational self-energy for Weyl fermions at 1-loop and induces their production. In this paper, we present an extended study of this new mechanism, explicitly computing this effect using the in-in formalism. We work in an expanding Universe in the radiation-dominated era as a fixed background. Gravitational wave-induced fermion production has rich phenomenological consequences. Notably, if Weyl fermions eventually acquire mass, and assuming realistic — and potentially detectable — gravitational wave backgrounds, the mechanism can explain the abundance of dark matter in the Universe. More generally, gravitational-wave induced freeze-in is a new purely gravitational mechanism for generating other feebly interacting fermions, e.g. right-handed neutrinos. We show that this loop level effect can dominate over the conventional — tree-level — gravitational production of superheavy fermions in a sizable part of the parameter space ( https://github.com/koppj/GW-freeze-in/ ).
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spelling doaj-art-1a6310f6b0e3436b974667efbdb669442025-01-19T12:06:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113510.1007/JHEP01(2025)023Weyl fermion creation by cosmological gravitational wave background at 1-loopAzadeh Maleknejad0Joachim Kopp1Department of Physics, King’s College LondonTheoretical Physics Department, CERNAbstract Weyl fermions of spin 1 2 $$ \frac{1}{2} $$ minimally coupled to Einstein’s gravity in 4 dimensions cannot be produced purely gravitationally in an expanding Universe at tree level. Surprisingly, as we showed in a recent letter [1], this changes at gravitational 1-loop when cosmic perturbations, like a gravitational wave background, are present. Such a background introduces a new scale, thereby breaking the fermions’ conformal invariance. This leads to a non-vanishing gravitational self-energy for Weyl fermions at 1-loop and induces their production. In this paper, we present an extended study of this new mechanism, explicitly computing this effect using the in-in formalism. We work in an expanding Universe in the radiation-dominated era as a fixed background. Gravitational wave-induced fermion production has rich phenomenological consequences. Notably, if Weyl fermions eventually acquire mass, and assuming realistic — and potentially detectable — gravitational wave backgrounds, the mechanism can explain the abundance of dark matter in the Universe. More generally, gravitational-wave induced freeze-in is a new purely gravitational mechanism for generating other feebly interacting fermions, e.g. right-handed neutrinos. We show that this loop level effect can dominate over the conventional — tree-level — gravitational production of superheavy fermions in a sizable part of the parameter space ( https://github.com/koppj/GW-freeze-in/ ).https://doi.org/10.1007/JHEP01(2025)023Cosmological modelsCosmology of Theories BSMEarly Universe Particle Physics
spellingShingle Azadeh Maleknejad
Joachim Kopp
Weyl fermion creation by cosmological gravitational wave background at 1-loop
Journal of High Energy Physics
Cosmological models
Cosmology of Theories BSM
Early Universe Particle Physics
title Weyl fermion creation by cosmological gravitational wave background at 1-loop
title_full Weyl fermion creation by cosmological gravitational wave background at 1-loop
title_fullStr Weyl fermion creation by cosmological gravitational wave background at 1-loop
title_full_unstemmed Weyl fermion creation by cosmological gravitational wave background at 1-loop
title_short Weyl fermion creation by cosmological gravitational wave background at 1-loop
title_sort weyl fermion creation by cosmological gravitational wave background at 1 loop
topic Cosmological models
Cosmology of Theories BSM
Early Universe Particle Physics
url https://doi.org/10.1007/JHEP01(2025)023
work_keys_str_mv AT azadehmaleknejad weylfermioncreationbycosmologicalgravitationalwavebackgroundat1loop
AT joachimkopp weylfermioncreationbycosmologicalgravitationalwavebackgroundat1loop