Integrating out new fermions at one loop

Abstract We present the fermionic universal one-loop effective action obtained by integrating out heavy vector-like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions with non-chiral interactions, i.e. vanishing γ 5 int...

Full description

Bibliographic Details
Main Authors: Andrei Angelescu, Peisi Huang
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)049
_version_ 1818595683208265728
author Andrei Angelescu
Peisi Huang
author_facet Andrei Angelescu
Peisi Huang
author_sort Andrei Angelescu
collection DOAJ
description Abstract We present the fermionic universal one-loop effective action obtained by integrating out heavy vector-like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions with non-chiral interactions, i.e. vanishing γ 5 interaction terms, the computations proceed in a tedious manner that obscures a physical interpretation. We show how directly tackling the fermionic functional determinant not only allows for a much simpler and transparent computation, but is also able to account for chiral interaction terms in a simple, algorithmic way. Finally, we apply the obtained results to integrate out at one loop the vector-like fermions appearing in a toy model and in a fermionic model that exhibits strong cosmological phase transitions.
first_indexed 2024-12-16T11:19:54Z
format Article
id doaj.art-22d46664c05e4bc2b3ffd3d3b77a636b
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-16T11:19:54Z
publishDate 2021-01-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-22d46664c05e4bc2b3ffd3d3b77a636b2022-12-21T22:33:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113510.1007/JHEP01(2021)049Integrating out new fermions at one loopAndrei Angelescu0Peisi Huang1Department of Physics and Astronomy, University of Nebraska-LincolnDepartment of Physics and Astronomy, University of Nebraska-LincolnAbstract We present the fermionic universal one-loop effective action obtained by integrating out heavy vector-like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions with non-chiral interactions, i.e. vanishing γ 5 interaction terms, the computations proceed in a tedious manner that obscures a physical interpretation. We show how directly tackling the fermionic functional determinant not only allows for a much simpler and transparent computation, but is also able to account for chiral interaction terms in a simple, algorithmic way. Finally, we apply the obtained results to integrate out at one loop the vector-like fermions appearing in a toy model and in a fermionic model that exhibits strong cosmological phase transitions.https://doi.org/10.1007/JHEP01(2021)049Beyond Standard ModelEffective Field Theories
spellingShingle Andrei Angelescu
Peisi Huang
Integrating out new fermions at one loop
Journal of High Energy Physics
Beyond Standard Model
Effective Field Theories
title Integrating out new fermions at one loop
title_full Integrating out new fermions at one loop
title_fullStr Integrating out new fermions at one loop
title_full_unstemmed Integrating out new fermions at one loop
title_short Integrating out new fermions at one loop
title_sort integrating out new fermions at one loop
topic Beyond Standard Model
Effective Field Theories
url https://doi.org/10.1007/JHEP01(2021)049
work_keys_str_mv AT andreiangelescu integratingoutnewfermionsatoneloop
AT peisihuang integratingoutnewfermionsatoneloop