Energetic $\gamma$-rays from TeV scale dark matter annihilation resummed

Abstract

The annihilation cross section of TeV scale dark matter particles ${\chi }^0$ with electroweak charges into photons is affected by large quantum corrections due to Sudakov logarithms and the Sommerfeld effect. We calculate the semi-inclusive photon energy spectrum in ${\chi }^0{\chi }^0\to \gamma +X$ in the vicinity of the maximal photon energy $E_{\gamma }=m_{\chi }$ with NLL' accuracy in an all-order summation of the electroweak perturbative expansion adopting the pure wino model. This results in the most precise theoretical prediction of the annihilation rate for $\gamma$-ray telescopes with photon energy resolution of parametric order $m_W^2/m_{\chi }$ for photons with TeV energies.

arXiv comment16 pages, v2: corrections implemented as detailed in Erratum: Phys.Lett.B 810, 135831 (2020)

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