Abstract

Type-II seesaw is a simple scenario in which Majorana neutrino masses are generated by the exchange of a heavy scalar electroweak triplet. When endowed with additional heavy fields, such as right-handed neutrinos or extra triplets, it also provides a compelling framework for baryogenesis via leptogenesis. We derive in this context the full network of Boltzmann equations for studying leptogenesis in the flavored regime. To this end we determine the relations which hold among the chemical potentials of the various particle species in the thermal bath. This takes into account the standard model Yukawa interactions of both leptons and quarks as well as sphaleron processes which, depending on the temperature, may be classified as faster or slower than the Universe Hubble expansion. We find that when leptogenesis is enabled by the presence of an extra triplet, lepton flavor effects allow the production of the B-L asymmetry through lepton number conserving CP asymmetries. This scenario becomes dominant as soon as the triplets couple more to leptons than to standard model scalar doublets. In this case, the way the B-L asymmetry is created through flavor effects is novel: instead of invoking the effect of L-violating inverse decays faster than the Hubble rate, it involves the effect of L-violating decays slower than the Hubble rate. We also analyze the more general situation where lepton number violating CP asymmetries are present and actively participate in the generation of the B-L asymmetry, pointing out that as long as L-violating triplet decays are still in thermal equilibrium when the triplet gauge scattering processes decouple, flavor effects can be striking, allowing to avoid all washout suppression effects from seesaw interactions. In this case the amount of B-L asymmetry produced is limited only by a universal gauge suppression effect, which nevertheless goes away for large triplet decay rates.

Highlights

  • Non-vanishing neutrino masses [1, 2, 3], and the cosmic asymmetry between baryons and anti-baryons [4, 5], constitute two well-established experimental facts which have well demonstrated that physical degrees of freedom beyond the standard model (SM) must be at work at certain unknown energy scale

  • We have considered scalar triplet leptogenesis scenarios where the states enabling successful production of the cosmic baryon asymmetry are either extra triplets or RH neutrinos

  • We have derived for the first time the complete set of flavored classical Boltzmann equations governing the evolution of the different relevant asymmetries, including the effects of those SM reactions which in the leptogenesis era may be fast: charged lepton and quark Yukawa reactions as well as QCD and electroweak sphaleron processes

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Summary

Introduction

Non-vanishing neutrino masses [1, 2, 3], and the cosmic asymmetry between baryons and anti-baryons [4, 5], constitute two well-established experimental facts which have well demonstrated that physical degrees of freedom beyond the standard model (SM) must be at work at certain unknown energy scale. In this paper we aim to study the generation of the B − L asymmetry arising from the CP violating and out-of-equilibrium decays of a scalar triplet, taking into account in a systematic way any relevant effect that a SM interaction could have at a given temperature This includes the flavor effects of the charged lepton Yukawa couplings and the “spectator” effects of the quark Yukawa couplings (in particular the role of the top Yukawa reaction) and the sphalerons processes. We will first derive the full network of flavored Boltzmann equations and will consider the redistribution of the B/3 − Li asymmetries in the heat bath, which in turn requires considering the conservation laws and chemical equilibrium conditions implied by slow and fast reactions With these tools at hand, and in order to illustrate how does scalar triplet flavored leptogenesis works, we will analyze two scenarios.

Generalities
Interactions and tree-level triplet decays
CP asymmetries in triplet decays
Boltzmann equations
Chemical equilibrium conditions
Domain of validity of the various sets of flavored Boltzmann equations
Formal integration of Boltzmann equations
B Cτja j τ j Y Eq
Purely flavored triplet leptogenesis
PFL scenario efficiency
Efficiency: B ij dependence
B B a τ aa τa
Efficiency
General triplet flavored leptogenesis
Conclusions
A Conventions and definitions
C matrices in all possible regimes
C and Cφ matrices in the lepton one-flavor limit
Full Text
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