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If the annihilation products of dark matter (DM) are non-relativistic and if there is some long-range force between them, there can be Sommerfeld effect for the final state particles. We study this effect on DM relic abundance in the…

High Energy Physics - Phenomenology · Physics 2021-02-24 Xiaoyi Cui , Feng Luo

In the universal framework of simplified $t$-channel dark matter models, the calculation of the relic abundance can be dominated by mediator annihilation when the dark matter and mediator masses are almost degenerate. We analyze four…

High Energy Physics - Phenomenology · Physics 2026-01-07 Mathias Becker , Emanuele Copello , Julia Harz , Martin Napetschnig

We study the impact of bound state formation on dark matter annihilation rates in models where dark matter interacts via a light mediator, the dark photon. We derive the general cross section for radiative capture into all possible bound…

High Energy Physics - Phenomenology · Physics 2016-06-22 Haipeng An , Mark B. Wise , Yue Zhang

We study scenarios where there exists an exotic massive particle charged under QCD in the early Universe. We calculate the formation and dissociation rates of bound states formed by pairs of these particles, and apply the results in dark…

High Energy Physics - Phenomenology · Physics 2017-03-13 Seng Pei Liew , Feng Luo

If dark matter couples directly to a light force mediator, then it may form bound states in the early universe and in the non-relativistic environment of haloes today. In this work, we establish a field-theoretic framework for the…

High Energy Physics - Phenomenology · Physics 2015-06-30 Kalliopi Petraki , Marieke Postma , Michael Wiechers

We study the Sommerfeld enhancement of the annihilation cross section of dark matter into heavier unstable particles. In this process, the annihilation products become non-relativistic near the kinematical threshold. If they experience…

High Energy Physics - Phenomenology · Physics 2026-03-04 Tomohiro Abe , Ryosuke Sato , Takumu Yamanaka

Traditional computations of the dark matter (DM) relic abundance, for models where attractive self-interactions are mediated by light force-carriers and bound states exist, rely on the solution of a coupled system of classical on-shell…

High Energy Physics - Phenomenology · Physics 2018-12-26 Tobias Binder , Laura Covi , Kyohei Mukaida

We present generic formulae for computing how Sommerfeld corrections together with bound-state formation affects the thermal abundance of Dark Matter with non-abelian gauge interactions. We consider DM as a fermion 3plet (wino) or 5plet…

High Energy Physics - Phenomenology · Physics 2018-07-09 Andrea Mitridate , Michele Redi , Juri Smirnov , Alessandro Strumia

Dark matter (DM) annihilation can be significantly enhanced through narrow resonances or the Sommerfeld enhancement effect, with both mechanisms potentially combining in a super-resonant annihilation process. In such scenarios, the…

High Energy Physics - Phenomenology · Physics 2025-11-12 Murat Abdughani , Shao-Song Tang , Kadirya Tursun , Bin Zhu

The annihilation rate of dark matter particles plays a crucial role in dark matter studies, for it determines their relic density and their indirect detection signal. In this paper, we show that this annihilation rate can receive large…

High Energy Physics - Phenomenology · Physics 2010-11-30 Carlos E. Yaguna

Quantum forces are long-range interactions that arise only at the loop level. In this work, we study the Sommerfeld enhancement of dark matter (DM) annihilation cross sections caused by quantum forces. One notable feature of quantum forces…

High Energy Physics - Phenomenology · Physics 2025-11-11 Steven Ferrante , Maxim Perelstein , Bingrong Yu

Dark matter stands out as one of the most important unsolved mysteries in particle physics and cosmology. We investigate the influence of non-perturbative effects on the production of dark matter as well as their impact on direct and…

High Energy Physics - Phenomenology · Physics 2024-09-24 Julian Bollig

We study the bound-state spectrum in a simple model of pseudo-Dirac dark matter, and examine how the rate of bound-state formation through radiative capture compares to Sommerfeld-enhanced annihilation. We use this model as an example to…

High Energy Physics - Phenomenology · Physics 2019-03-27 Arindam Bhattacharya , Tracy R. Slatyer

We compute the cross-sections for the radiative capture of non-relativistic particles into bound states, in unbroken perturbative non-Abelian theories. We find that the formation of bound states via emission of a gauge boson can be…

High Energy Physics - Phenomenology · Physics 2018-07-18 Julia Harz , Kalliopi Petraki

We explore the impact of non-perturbative effects, namely Sommerfeld enhancement and bound state formation, on the cosmological production of non-thermal dark matter. For this purpose, we focus on a class of simplified models with t-channel…

High Energy Physics - Phenomenology · Physics 2022-10-13 Julian Bollig , Stefan Vogl

We present analytic expressions for the vacuum polarization effects due to a light fermion with finite mass in the binding energy and in the wave function at the origin of QED and (weak coupling) QCD non-relativistic bound states.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dolors Eiras , Joan Soto

The existence of a dark matter model with a rich dark sector could be the reason why WIMP dark matter has evaded its detection so far. For instance, colored co-annihilation naturally leads to the prediction of heavier dark matter masses.…

High Energy Physics - Phenomenology · Physics 2023-01-23 Mathias Becker , Emanuele Copello , Julia Harz , Kirtimaan A. Mohan , Dipan Sengupta

We calculate how the relic density of dark matter particles is altered when their annihilation is enhanced by the Sommerfeld mechanism due to a Yukawa interaction between the annihilating particles. Maintaining a dark matter abundance…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-14 Jesus Zavala , Mark Vogelsberger , Simon D. M. White

Bound-state formation (BSF) can have a large impact on annihilation of new physics particles with long-range interactions in the early Universe. In particular, the inclusion of excited bound states has been found to strongly reduce the dark…

High Energy Physics - Phenomenology · Physics 2026-01-01 Tobias Binder , Mathias Garny , Jan Heisig , Stefan Lederer

The thermal decoupling description of dark matter (DM) and co-annihilating partners is reconsidered. If DM is realized at around the TeV-mass region or above, even the heaviest electroweak force carriers could act as long-range forces,…

High Energy Physics - Phenomenology · Physics 2020-04-29 Tobias Binder , Kyohei Mukaida , Kalliopi Petraki
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