Gauge-independent approach to resonant dark matter annihilation

Abstract In spontaneously broken gauge theories, transition amplitudes describing dark-matter (DM) annihilation processes through a resonance may become highly inaccurate close to a production threshold, if a Breit-Wigner (BW) ansatz with a constant width is used. To partially overcome this problem,...

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Main Authors: Mateusz Duch, Bohdan Grzadkowski, Apostolos Pilaftsis
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2019)141
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author Mateusz Duch
Bohdan Grzadkowski
Apostolos Pilaftsis
author_facet Mateusz Duch
Bohdan Grzadkowski
Apostolos Pilaftsis
author_sort Mateusz Duch
collection DOAJ
description Abstract In spontaneously broken gauge theories, transition amplitudes describing dark-matter (DM) annihilation processes through a resonance may become highly inaccurate close to a production threshold, if a Breit-Wigner (BW) ansatz with a constant width is used. To partially overcome this problem, the BW propagator needs to be modified by including a momentum dependent decay width. However, such an approach to resonant transition amplitudes generically suffers from gauge artefacts that may also give rise to a bad or ambiguous high-energy behaviour for such amplitudes. We address the two problems of gauge dependence and high-energy unitarity within a gauge-independent framework of resummation implemented by the so-called Pinch Technique. We study DM annihilation via scalar resonances in a gauged U(1) X complex-scalar extension of the Standard Model that features a massive stable gauge field which can play the role of the DM. We find that the predictions for the DM abundance may vary significantly from previous studies based on the naive BW ansatz and propose an alternative simple approximation which leads to the correct DM phenomenology. In particular, our results do not depend on the gauge-fixing parameter and are consistent with considerations from high-energy unitarity.
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spelling doaj.art-4a68d05942fd4788b679aecec3b68c072022-12-22T00:00:08ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019212810.1007/JHEP02(2019)141Gauge-independent approach to resonant dark matter annihilationMateusz Duch0Bohdan Grzadkowski1Apostolos Pilaftsis2Faculty of Physics, University of WarsawFaculty of Physics, University of WarsawConsortium for Fundamental Physics, School of Physics and Astronomy, University of ManchesterAbstract In spontaneously broken gauge theories, transition amplitudes describing dark-matter (DM) annihilation processes through a resonance may become highly inaccurate close to a production threshold, if a Breit-Wigner (BW) ansatz with a constant width is used. To partially overcome this problem, the BW propagator needs to be modified by including a momentum dependent decay width. However, such an approach to resonant transition amplitudes generically suffers from gauge artefacts that may also give rise to a bad or ambiguous high-energy behaviour for such amplitudes. We address the two problems of gauge dependence and high-energy unitarity within a gauge-independent framework of resummation implemented by the so-called Pinch Technique. We study DM annihilation via scalar resonances in a gauged U(1) X complex-scalar extension of the Standard Model that features a massive stable gauge field which can play the role of the DM. We find that the predictions for the DM abundance may vary significantly from previous studies based on the naive BW ansatz and propose an alternative simple approximation which leads to the correct DM phenomenology. In particular, our results do not depend on the gauge-fixing parameter and are consistent with considerations from high-energy unitarity.http://link.springer.com/article/10.1007/JHEP02(2019)141Beyond Standard ModelHiggs Physics
spellingShingle Mateusz Duch
Bohdan Grzadkowski
Apostolos Pilaftsis
Gauge-independent approach to resonant dark matter annihilation
Journal of High Energy Physics
Beyond Standard Model
Higgs Physics
title Gauge-independent approach to resonant dark matter annihilation
title_full Gauge-independent approach to resonant dark matter annihilation
title_fullStr Gauge-independent approach to resonant dark matter annihilation
title_full_unstemmed Gauge-independent approach to resonant dark matter annihilation
title_short Gauge-independent approach to resonant dark matter annihilation
title_sort gauge independent approach to resonant dark matter annihilation
topic Beyond Standard Model
Higgs Physics
url http://link.springer.com/article/10.1007/JHEP02(2019)141
work_keys_str_mv AT mateuszduch gaugeindependentapproachtoresonantdarkmatterannihilation
AT bohdangrzadkowski gaugeindependentapproachtoresonantdarkmatterannihilation
AT apostolospilaftsis gaugeindependentapproachtoresonantdarkmatterannihilation