Resummed photon spectrum from dark matter annihilation for intermediate and narrow energy resolution

Abstract

Abstract The annihilation cross section of weakly interacting TeV scale dark matter particles χ 0 into photons is affected by large quantum corrections due to electroweak Sudakov logarithms and the Sommerfeld effect. We extend our previous work on the resummation of the semi-inclusive photon energy spectrum in χ 0 χ 0 → γ + X in the vicinity of the maximal photon energy E γ = m χ with NLL’ accuracy from the case of narrow photon energy resolution E res γ $$ {E}_{\mathrm{res}}^{\gamma } $$ of order m W 2 / m χ $$ {m}_W^2/{m}_{\chi } $$ to intermediate resolution of order E res γ ∼ m W $$ {E}_{\mathrm{res}}^{\gamma}\sim {m}_W $$ . We also provide details on the previous narrow resolution calculation. The two calculations, performed in different effective field theory set-ups for the wino dark matter model, are then shown to match well, providing an accurate representation up to energy resolutions of about 300 GeV.

Keywords

• NLO Computations