Neutrino collective excitations in the Standard Model at high temperature

Details Neutrino collective excitations in the Standard Model at high temperature Neutrino collective excitations in the Standard Model at high temperature

2005-05-20

arxiv.org/abs/hep-ph/0505186v3

Phys.Rev. D72 (2005) 033004

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages 16 figs. Discussion on screening corrections. Results unchanged to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.033004

Neutrino collective excitations are studied in the Standard Model at high temperatures below the symmetry breaking scale. Two parameters determine the properties of the collective excitations: a mass scale $m_\nu=gT/4$ which determines the \emph{chirally symmetric} gaps in the spectrum and $\Delta=M^2_W(T)/2m_\nu T$. The spectrum consists of left handed negative helicity quasiparticles, left handed positive helicity quasiholes and their respective antiparticles. For $\Delta < \Delta_c = 1.275...$ there are two gapped quasiparticle branches and one gapless and two gapped quasihole branches, all but the higher gapped quasiparticle branches terminate at end points. For $\Delta_c < \Delta < \pi/2$ the quasiparticle spectrum features a pitchfork bifurcation and for $\Delta >\pi/2$ the collective modes are gapless quasiparticles with dispersion relation below the light cone for $k\ll m_\nu$ approaching the free field limit for $k\gg m_\nu$ with a rapid crossover between the soft non-perturbative to the hard perturbative regimes for $k\sim m_\nu$.The \emph{decay} of the vector bosons leads to a \emph{width} of the collective excitations of order $g^2$ which is explicitly obtained in the limits $k =0$ and $k\gg m_\nu \Delta$. At high temperature this damping rate is shown to be competitive with or larger than the collisional damping rate of order $G^2_F$ for a wide range of neutrino energy.

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