Freiburg 2008 – scientific programme

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T: Fachverband Teilchenphysik

T 18: Neutrinophysik (Theorie)

T 18.7: Talk

Friday, March 7, 2008, 15:30–15:45, Peterhof-HS 4

Leptogenesis in an inhomogeneous Universe — •Alexander Kartavtsev¹, Emanuel Paschos², and Denis Besak³ — ¹Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117, Heidelberg — ²Universitat Dortmund, Otto-Hahn str. 4, 44221, Dortmund — ³Universität Bielefeld, 33501, Bielefeld

Baryogenesis via Leptogenesis is one of the most attractive scenarios able to explain the observed baryon asymmetry of the Universe. Since the early Universe was to a very good approximation homogeneous and isotropic, it is common to neglect the primeval inhomogeneities. Nevertheless, since the primeval perturbations were of utmost importance for the subsequent formation of large scale structures, it is of interest to investigate how they affected the generation of the lepton and baryon asymmetries.

We have derived an integrated gauge-invariant form of the Boltzmann equations useful for analysis of development of the lepton asymmetry in an inhomogeneous Universe. Using the method of steepest descent an approximate analytical solution of the Boltzmann equations has been derived. We have calculated Fourier components of perturbations of the efficiency of leptogenesis which is of potential interest for theoretical analysis of the CMB spectrum. We have also related the efficiency to the covariantly defined perturbations of energy and particle number density and found that the efficiency is smaller in the regions of higher energy and particle number density.