Super-resonant dark matter at O(100) GeV masses amplifies self-scattering and annihilation cross sections via combined resonance and Sommerfeld effects, necessitating coupled Boltzmann equations to match observed relic density.
Effective theory calculation of resonant high-energy scattering
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abstract
Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to intermediate singular propagators. Various pragmatic approaches have been developed to deal with this difficulty. In this paper we construct an effective field theory for resonant processes utilizing the hierarchy of scales between the mass of the unstable particle, M, and its width, Gamma. The effective theory allows calculations to be systematically arranged into a series in g^2 and Gamma/M, and preserves gauge invariance in every step. We demonstrate the applicability of this method by calculating explicitly the inclusive line shape of a scalar resonance in an abelian gauge-Yukawa model at next-to-leading order in Gamma/M and the weak couplings. We also discuss the extension to next-to-next-to-leading order and compute an interesting subset of these corrections.
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Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.
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Self-Interaction of Super-Resonant Dark Matter
Super-resonant dark matter at O(100) GeV masses amplifies self-scattering and annihilation cross sections via combined resonance and Sommerfeld effects, necessitating coupled Boltzmann equations to match observed relic density.
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Non-factorisable electroweak virtual corrections to single-resonant processes
Non-factorisable two-loop EW virtual corrections to single-resonant processes reduce to an iteration of the one-loop result plus a new light-fermion contribution in dimensional regularization and are specific to single-resonance exchange.