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The dark matter annihilation cross section can be amplified by orders of magnitude if the annihilation occurs into a narrow resonance, or if the dark-matter particles experience a long-range force before annihilation (Sommerfeld effect). We…

High Energy Physics - Phenomenology · Physics 2023-09-29 Martin Beneke , Stefan Lederer , Kai Urban

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

When a pair of dark matter particles interacts via a long-range force mediated by a light particle, their nonrelativistic annihilation cross section can be significantly enhanced - a phenomenon known as the Sommerfeld enhancement. This…

High Energy Physics - Phenomenology · Physics 2025-11-03 Yuki Watanabe

The annihilation of self-interacting dark matter with long-range interactions can be significantly enhanced at low velocities through the Sommerfeld effect. At special points in parameter space, where near-zero-energy resonances exist in…

High Energy Physics - Phenomenology · Physics 2026-05-08 Barry E. Cimring , Tracy R. Slatyer

The dark matter annihilation rate at small relative velocities can be amplified by a large boost factor using various mechanisms, including Sommerfeld enhancement, resonance enhancement, and Breit-Wigner enhancement. These mechanisms all…

High Energy Physics - Phenomenology · Physics 2013-09-18 Eric Braaten , H. -W. Hammer

We present an analysis of the Sommerfeld enhancement to dark matter annihilation in the presence of an excited state, where the interaction inducing the enhancement is purely off-diagonal, such as in models of exciting or inelastic dark…

High Energy Physics - Phenomenology · Physics 2010-03-09 Tracy R. Slatyer

We point out a selection rule for enhancement (suppression) of odd (even) partial waves of dark matter coannihilation or annihilation using Sommerfeld effect. Using this, the usually velocity-suppressed p-wave annihilation can dominate the…

High Energy Physics - Phenomenology · Physics 2017-06-30 Anirban Das , Basudeb Dasgupta

We find model-independent upper limits on rates of dark matter annihilation in galactic halos. The Born approximation generally fails, while exotic threshold enhancements akin to "Sommerfeld factors" also turn out to be baseless The most…

High Energy Physics - Phenomenology · Physics 2010-04-06 Mihailo Backovic , John P. Ralston

Coupling dark matter to light new particles is an attractive way to combine thermal production with strong velocity-dependent self-interactions. Here we point out that in such models the dark matter annihilation rate is generically enhanced…

High Energy Physics - Phenomenology · Physics 2017-04-12 Torsten Bringmann , Felix Kahlhoefer , Kai Schmidt-Hoberg , Parampreet Walia

A calculation of the Sommerfeld enhancement is presented and applied to the problem of s-wave non-relativistic dark matter annihilation. The difference from previous computations in the literature is that the effect of the underlying…

High Energy Physics - Phenomenology · Physics 2016-06-29 Kfir Blum , Ryosuke Sato , Tracy R. Slatyer

We show that the relic density of asymmetric dark matter with long-range interactions is affected by the Sommerfeld enhancement. The annihilation cross section of asymmetric dark matter is enhanced due to the Sommerfeld effect. It results…

High Energy Physics - Phenomenology · Physics 2024-03-05 Sujuan Qiu , Hoernisa Iminniyaz , Wensheng Huo

We present analytical formulae for the Sommerfeld corrections to the annihilation of massive colored particles into quarks and gluons through the strong interaction. These corrections are essential to accurately compute the dark matter…

High Energy Physics - Phenomenology · Physics 2017-10-17 Sonia El Hedri , Anna Kaminska , Maikel de Vries

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

We show how easy it is to get the Sommerfeld enhancement for a Yukawa potential, for definite partial waves, beyond the S wave analyzed in previous literature. In particular, we report results for the P wave (for which there is a resonant…

High Energy Physics - Phenomenology · Physics 2009-03-19 R. Iengo

We investigate the implication of unparticle exchange for the possible Sommerfeld enhancement in dark matter annihilation process. Assuming the unparticle exchange during WIMP collision, we solve the Schr\rm\ddot{o}dinger equation for the…

High Energy Physics - Phenomenology · Physics 2010-04-14 Chuan-Hung Chen , C. S. Kim

Dark matter that possesses a particle-antiparticle asymmetry and has thermalised in the early universe, requires a larger annihilation cross-section compared to symmetric dark matter, in order to deplete the dark antiparticles and account…

High Energy Physics - Phenomenology · Physics 2017-09-22 Iason Baldes , Kalliopi Petraki

In dark matter coannihilation scenarios, the Sommerfeld effect of coannihilators is usually important in calculations of dark matter thermal relic abundance. Due to decays of coannihilators, two annihilating coannihilators can only approach…

High Energy Physics - Phenomenology · Physics 2024-11-19 Feng Luo

We extend the analysis of asymmetric Dark Matter relic density with Sommerfeld enhancement to the case where the mediator is massive. In asymmetric Dark Matter models, the asymmetric Dark Matter is assumed to couple to light scalar or…

High Energy Physics - Phenomenology · Physics 2021-02-24 Aerman Sulitan , Hoernisa Iminniyaz , Mu Baoxia

Assuming that two incoming annihilating particles interact by a generally massive attractive vector potential,we find, by taking the non-relativistic limit of the field theory ladder diagrams, that the complete annihilation amplitude A is…

High Energy Physics - Phenomenology · Physics 2010-04-23 R. Iengo

We scrutinize the Sommerfeld enhancement in dark matter pair annihilation for $p$-wave and higher-$\ell$ partial waves. For the Yukawa potential these feature a super-resonant Breit-Wigner peak in their velocity-dependence close to…

High Energy Physics - Phenomenology · Physics 2024-03-13 Martin Beneke , Tobias Binder , Lorenzo De Ros , Mathias Garny
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