On the likely dominance of WIMP annihilation to fermion pair+W/Z (and implication for indirect detection)

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2009

Cited alongside, same era.

M. Kachelriess, P. D. Serpico and M. A. .Solberg, “On the role of electroweak bremsstrahlung for indirect dark matter signatures,” Phys. Rev. D 80

Original

2009

Cited alongside, same era.

F. Aharonian et al

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2009

Cited alongside, same era.

P. Ciafaloni, A. Urbano, “TeV scale Dark Matter and electroweak radiative corrections,” Phys. Rev. D82

Original

2010

Cited alongside, same era.

Nature 458

Original

O. Adriani et al · 2010

Cited alongside, same era.

The Möller velocity is the generalization of the relative velocity (as seen from either initial particle’s rest frame) that makes the time-integrated rate a relativistic invariant number. Explicitly, the Möller velocity v M = { ( v → 1 − v → 2 ) 2 − ( v → 1 × v → 2 ) 2 } 1 2 = { ( v 1 − v 2 ) 2 + v 1 ​ v 2 ​ ( 1 − cos ⁡ θ 12 ) 2 } 1 2 {\rm v_{\rm M}}=\{({\vec{\rm v}}_{1}-{\vec{\rm v}}_{2})^{2}-({\vec{\rm v}}_{1}\times{\vec{\rm v}}_{2})^{2}\}^{\frac{1}{2}}=\{({\rm v}_{1}-{\rm v}_{2})^{2}+{\rm v}_{1}{\rm v}_{2}(1-\cos\theta_{12})^{2}\}^{\frac{1}{2}} where the initial particle velocities are defined in any frame. (The invariant is 2 ​ E 1 ​ E 2 ​ v M = λ ⁡ ( s , M 1 2 , M 2 2 ) 2E_{1}E_{2}{\rm v}_{\rm M}=\sqrt{\lambda(s,M_{1}^{2},M_{2}^{2})} , where λ \lambda is the triangle function.) Although defined in terms of physical velocities, the Möller velocity is not itself a physical velocity; in fact, it can exceed unity. Commonly used limits result (i) in the rest frame of one initial particle, say v 2 = 0 {\rm v}_{2}=0 , where v M = v 1 = v rel {\rm v_{\rm M}}={\rm v}_{1}={\rm v}_{\rm rel} , as it must; and (ii) when both initial particles are relativistic, where v M = 1 − cos ⁡ θ 12 {\rm v_{\rm M}}=1-\cos\theta_{12} . An informative discussion and derivation of v M {\rm v}_{\rm M} is given in [ 6 ] , and nuances of thermal averaging with v M {\rm v}_{\rm M} are given in [ 7 ]

Cited in the paper.

L.D. Landau and E.M. Lifschitz, “The Classical Theory of Fields”, Pergamon Press, 4 t ​ h 4^{th} revised Enlish edition, pages 32-34

Cited in the paper.

P. Ciafaloni, D. Comelli, A. Riotto, F. Sala, A. Strumia, A. Urbano, “Weak Corrections are Relevant for Dark Matter Indirect Detection,” JCAP 1103

Original

2011

Later among the works it cites.

P. Ciafaloni, M. Cirelli, D. Comelli, A. De Simone, A. Riotto and A. Urbano, “On the Importance of Electroweak Corrections for Majorana Dark Matter Indirect Detection,” JCAP 1106

Original

2011

Later among the works it cites.

P. Ciafaloni, M. Cirelli, D. Comelli, A. De Simone, A. Riotto and A. Urbano, “Initial State Radiation in Majorana Dark Matter Annihilations,” JCAP 1110

Original

2011

Later among the works it cites.

M. Garny, A. Ibarra and S. Vogl, “Antiproton constraints on dark matter annihilations from internal electroweak bremsstrahlung,” JCAP 1107

Original

2011

Later among the works it cites.

P. D. Serpico, “Astrophysical models for the origin of the positron ’excess’,” Astropart. Phys. 39, 2 (2012) [arXiv:1108.4827 [astro-ph.HE]]

Original

2012

Closest in time.