Family replicated calculation of baryogenesis

Abstract

In our model with a Standard Model gauge group extended with a baryon number minus lepton number charge for each family of quarks and leptons, we calculate the baryon number relative to entropy produced in early Big Bang by the Fukugita-Yanagida mechanism. With the parameters, i.e., the Higgs VEVs already fitted in a very successful way to quark and lepton masses and mixing angles we obtain the order of magnitude pure prediction Y_B=2.59{+17.0\atop-2.25}\times 10^{-11} which according to a theoretical estimate should mean in this case an uncertainty of the order of a factor 7 up or down (to be compared to Y_B=(1.7-8.1)\times 10^{-11}) using a relatively crude approximation for the dilution factor, while using another estimate based on Buchm\"uller and Pl\"umacher a factor 500 less, but this should rather be considered a lower limit. With a realistic uncertainty due to wash-out of a factor 100 up or down we even with the low estimate only deviate by 1.5\sigma.