Axion Decay in a Constant Electromagnetic Background Field and at Finite Temperature using World-line Methods

We investigate the radiative decay of the axion into two photons in an external electromagnetic field to one loop order. Our approach is based on the world-line formalism, which is very suitable to take into account the external field to all orders. Afterwards we discuss how the calculation could be generalized to finite temperature.Comment: 27 pages, 4 figures, corrected and added some references and added some remarks to appendix

Two Recent Results on B Physics from CDF

Preliminary results from two recent CDF b physics analysis are presented. The first obtains sin(2beta) = 0.79 + 0.41 -0.44 from a measurement of the asymmetry in B0, B0bar to J/psi K_short decays, providing the best direct indication so far that CP invariance is violated in the b sector. The second obtains new results on the parity even (A_0 and A_par) and odd (A_perp) polarization amplitudes from full angular analyses of B0 to J/psi K*0 and B_s to J/psi phi decays.Comment: 8 pages, 4 figures; presented at the 34th Recontres de Moriond, Les Arcs, 1800, France, 13-20 March 199

Rigid G2-Representations and motives of Type G2

We prove an effective Hilbert Irreducibility result for residual realizations of a family of motives with motivic Galois group G2

A Fresh Look at keV Sterile Neutrino Dark Matter from Frozen-In Scalars

Sterile neutrinos with a mass of a few keV can serve as cosmological warm dark matter. We study the production of keV sterile neutrinos in the early universe from the decay of a frozen-in scalar. Previous studies focused on heavy frozen-in scalars with masses above the Higgs mass leading to a hot spectrum for sterile neutrinos with masses below 8-10 keV. Motivated by the recent hints for an X-ray line at 3.55 keV, we extend the analysis to lighter frozen-in scalars, which allow for a cooler spectrum. Below the electroweak phase transition, several qualitatively new channels start contributing. The most important ones are annihilation into electroweak vector bosons, particularly W-bosons as well as Higgs decay into pairs of frozen-in scalars when kinematically allowed.Comment: 19 pages, 4 figures, model section (sec. 2) splits in effective description (sec. 2) and UV completion (sec. 5), minor changes, references added, matches published versio