Abstract
The annihilation cross section of weakly interacting TeV scale dark matter particles χ0 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 χ0χ0 → γ + X in the vicinity of the maximal photon energy Eγ = mχ with NLL’ accuracy from the case of narrow photon energy resolution {E}_{mathrm{res}}^{gamma } of order {m}_W^2/{m}_{chi } to intermediate resolution of order {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.
Highlights
High-energy photons may constitute an important signal for the particle nature of dark matter (DM) through the pair annihilation of DM particles
After integrating out virtualities of order m2χ, the short-distance part of the annihilation process is represented by an operator that destroys the two DM particles at a single point, and a set of collinear and anti-collinear fields along opposite light-like directions starting from this point, which describe the energetic particles in X and those that convert to the observed photon
When the DM particle carries electroweak charges and its mass is much larger than the mass of the electroweak gauge bosons, standard perturbation theory in the small couplings of the Standard Model (SM) breaks down
Summary
High-energy photons may constitute an important signal for the particle nature of dark matter (DM) through the pair annihilation of DM particles. Assuming the regime to apply to Erγes in [mW /4, 4mW ] the energy resolution of the H.E.S.S. experiment Erγes/Eγ ≈ 10% [10] implies that dark matter masses in the range 200 GeV to 3.2 TeV are covered by the intermediate resolution calculation. These calculations are performed for the specific case of the pure wino model, which corresponds to the Standard Model extended by an SU(2) triplet with zero hypercharge, of which the electrically neutral member is the dark matter particle. A series of appendices collects additional technical details on soft and jet function integrals, including the narrow resolution case and the treatment of the Z-boson resonance, the RGE invariance check for the narrow resolution case, and the complete analytic expressions for the expansion of the resummation formula to the two-loop order
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