Erratum to: Lightest sterile neutrino abundance within the νMSM

Takehiko Asaka, Mikhail Shaposhnikov, Mikko Laine
2015 Journal of High Energy Physics  
Erratum to: JHEP01(2007)091 ArXiv ePrint: hep-ph/0612182 1 The following corrections should be implemented in the formulae. In eq. (3.6), the two factors 3 4 should be replaced with 1 2 . In table 1, the factor 9 4 should be replaced with 3 2 , and the factor − 3 4 with − 1 2 . In addition, in eqs. (3.7) and (3.8), one should switch a L ↔ a R , which implies b → −b, d → −d. The numerical effect of these corrections on Im Σ can be up to ∼ 25% at T < 20 MeV for α = 1, but is only on the few
more » ... ly on the few percent level at T > 100 MeV. The effect on the right-handed neutrino production rate is thus much smaller than hadronic uncertainties at T > 100 MeV. The reason for the last correction is subtle. Given that weak interactions of Standard Model neutrinos take place through vertices with the Dirac structure ∼ γ µ a L , where a L ≡ (1 − γ 5 )/2 is a chiral projector, their inverse propagator is of the form [52] Because of the chiral projectors, the (retarded) self-energy can be expressed as 1 Current affiliation and email are:
doi:10.1007/jhep02(2015)028 fatcat:phzaq3z6irgyjkugw6a6wwlfyi