TY - JOUR
T1 - Right-handed neutrino production at finite temperature
T2 - radiative corrections, soft and collinear divergences
AU - Garbrecht, Bjoern
AU - Glowna, Frank
AU - Herranen, Matti Henrikki
PY - 2013/4/1
Y1 - 2013/4/1
N2 - The production and decay rate of massive sterile neutrinos at finite temperature receives next-to-leading order corrections from the gauge interactions of lepton and Higgs doublets. Using the Closed-Time-Path approach, we demonstrate that the perturbatively obtained inclusive rate is finite. For this purpose, we show that soft, collinear and Bose divergences cancel when adding the tree-level rates from 1 ↔ 3 and 2 ↔ 2 processes to vertex and wave-function corrections to 1 ↔ 2 processes. These results hold for a general momentum of the sterile neutrino with respect to the plasma frame. Moreover, they do not rely on non-relativistic approximations, such that the full quantum-statistical effects are accounted for to the given order in perturbation theory. While the neutrino production rate is of relevance for Leptogenesis, the proposed methods may as well be suitable for application to a more general class of relativistic transport phenomena.
AB - The production and decay rate of massive sterile neutrinos at finite temperature receives next-to-leading order corrections from the gauge interactions of lepton and Higgs doublets. Using the Closed-Time-Path approach, we demonstrate that the perturbatively obtained inclusive rate is finite. For this purpose, we show that soft, collinear and Bose divergences cancel when adding the tree-level rates from 1 ↔ 3 and 2 ↔ 2 processes to vertex and wave-function corrections to 1 ↔ 2 processes. These results hold for a general momentum of the sterile neutrino with respect to the plasma frame. Moreover, they do not rely on non-relativistic approximations, such that the full quantum-statistical effects are accounted for to the given order in perturbation theory. While the neutrino production rate is of relevance for Leptogenesis, the proposed methods may as well be suitable for application to a more general class of relativistic transport phenomena.
U2 - 10.1007/jhep04(2013)099
DO - 10.1007/jhep04(2013)099
M3 - Journal article
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
IS - 4
M1 - 099
ER -