We study electroweak baryogenesis driven by the top quark in a general two Higgs doublet model with flavor-changing Yukawa couplings, keeping the Higgs potential CP invariant. With Higgs sector couplings and the additional top Yukawa coupling ρtt all of O(1), one naturally has sizable CP violation that fuels the cosmic baryon asymmetry. Even if ρtt vanishes, the favor-changing coupling ρtc can still lead to successful baryogenesis. Phenomenological consequences such as t → ch, τ → µγ electron electric dipole moment, h → γγ, and hhh coupling are discussed.Introduction.-The discovery of a scalar particle 125 GeV in mass [1] is a first step towards the thorough understanding of spontaneous electroweak symmetry breaking (EWSB). Current data suggest [2] the observed scalar belongs to an SU(2) L doublet that is responsible for EWSB and particle mass generation. Understanding the full structure of the Higgs sector is a primary goal of particle physics and cosmology.

We investigate neutrinoless double beta decay (0νββ) in the presence of sterile neutrinos with Majorana mass terms. These gauge-singlet fields are allowed to interact with Standard-Model (SM) fields via renormalizable Yukawa couplings as well as higherdimensional gauge-invariant operators up to dimension seven in the Standard Model Effective Field Theory extended with sterile neutrinos. At the GeV scale, we use Chiral effective field theory involving sterile neutrinos to connect the operators at the level of quarks and gluons to hadronic interactions involving pions and nucleons. This allows us to derive an expression for 0νββ rates for various isotopes in terms of phase-space factors, hadronic low-energy constants, nuclear matrix elements, the neutrino masses, and the Wilson coefficients of higher-dimensional operators. The required hadronic low-energy constants and nuclear matrix elements depend on the neutrino masses, for which we obtain interpolation formulae grounded in QCD and chiral perturbation theory that improve existing formulae that are only valid in a small regime of neutrino masses. The resulting framework can be used directly to assess the impact of 0νββ experiments on scenarios with light sterile neutrinos and should prove useful in global analyses of sterile-neutrino searches. We perform several phenomenological studies of 0νββ in the presence of sterile neutrinos with and without higher-dimensional operators. We find that non-standard interactions involving sterile neutrinos have a dramatic impact on 0νββ phenomenology, and next-generation experiments can probe such interactions up to scales of O(100) TeV.

We improve the sphaleron decoupling condition in the real singlet-extended standard model (SM). The sphaleron energy is obtained using the finite-temperature one-loop effective potential with daisy resummation. For moderate values of the model parameters, the sphaleron decoupling condition is found to be v C /T C > (1.1− 1.2), where T C denotes a critical temperature and v C is the corresponding vacuum expectation value of the doublet Higgs field at T C . We also investigate the deviation of the triple Higgs boson coupling from its standard model value in the region where the improved sphaleron decoupling condition is satisfied. As a result of the improvement, the deviation of the triple Higgs boson coupling gets more enhanced. In a typical case, if the Higgs couplings to the gauge bosons/fermions deviate from the SM values by about 3 (10)%, the deviation of the triple Higgs boson coupling can be as large as about 16 (50)%, which is about 4 (8)% larger than that based on the conventional criterion v C /T

Weakly interacting K→πX(0) emission with mX(0)≅mπ(0) is out of sight of the current K+→π+ νν study, but it can be sensed by the KL→π(0)νν search. This evades the usual Grossman-Nir bound of B(KL→π(0)νν)<1.4×10(-9); thus, the KOTO experiment is already starting to probe new physics. An intriguing possibility is the Z' gauge boson of a weak leptonic force that couples to Lμ-Lτ (the difference between the muon and tauon numbers), which may explain the long-standing "muon g-2" anomaly, but is constrained by νμN→νμNμ+ μ- scattering to mZ'≲400  MeV. An explicit model for K→πZ' is given, which illustrates the link between rare kaon and B→Kμ+ μ-, K(*)νν decays. Complementary to these searches and future lepton experiments, the LHC might discover the scalar boson ϕ responsible for light mZ' generation via ϕ→Z'Z'→2(μ+ μ-).