Two-loop form factors for Dark Matter annihilation to colored Standard Model particles

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Hauptverfasser: Katapur, Warsimakram, Shivaji, Ambresh
Format: Preprint
Veröffentlicht: 2025
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author Katapur, Warsimakram
Shivaji, Ambresh
author_facet Katapur, Warsimakram
Shivaji, Ambresh
contents We investigate a UV-complete model in which the dark matter (DM) particle interacts with gluons through a colored scalar mediator. This framework provides a phenomenologically viable scenario testable at hadron colliders. While mono-jet signatures are relevant for collider searches, zero-jet processes correspond to complete annihilation of Standard Model (SM) particles into DM, contributing to the relic density. In this work, we study dark matter annihilation into SM colored particles, which in our model arises at leading order from loop-induced processes. We compute the relevant two-loop QCD amplitudes for both gluon and quark channels in dark matter production or annihilation. The amplitudes are decomposed into scalar form factors using the projector technique. Using integration-by-parts (IBP) identities, we obtain analytical expressions for the form factors in terms of master integrals. Ultraviolet divergences are removed via counterterm renormalization, yielding UV-finite results. These results would enable predictions for dark matter production or annihilation into SM colored particles at next-to-leading order (NLO) in QCD.
format Preprint
id arxiv_https___arxiv_org_abs_2511_03701
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-loop form factors for Dark Matter annihilation to colored Standard Model particles
Katapur, Warsimakram
Shivaji, Ambresh
High Energy Physics - Phenomenology
High Energy Physics - Theory
We investigate a UV-complete model in which the dark matter (DM) particle interacts with gluons through a colored scalar mediator. This framework provides a phenomenologically viable scenario testable at hadron colliders. While mono-jet signatures are relevant for collider searches, zero-jet processes correspond to complete annihilation of Standard Model (SM) particles into DM, contributing to the relic density. In this work, we study dark matter annihilation into SM colored particles, which in our model arises at leading order from loop-induced processes. We compute the relevant two-loop QCD amplitudes for both gluon and quark channels in dark matter production or annihilation. The amplitudes are decomposed into scalar form factors using the projector technique. Using integration-by-parts (IBP) identities, we obtain analytical expressions for the form factors in terms of master integrals. Ultraviolet divergences are removed via counterterm renormalization, yielding UV-finite results. These results would enable predictions for dark matter production or annihilation into SM colored particles at next-to-leading order (NLO) in QCD.
title Two-loop form factors for Dark Matter annihilation to colored Standard Model particles
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.03701