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

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

Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects

We analyze soft and collinear gluon resummation effects at the N$^3$LL level for Standard Model Higgs boson production via gluon fusion $gg\to H$ and the neutral scalar and pseudoscalar Higgs bosons of the minimal supersymmetric extension at the N$^3$LL and NNLL level, respectively. We introduce refinements in the treatment of quark mass effects and subleading collinear gluon effects within the resummation. Soft and collinear gluon resummation effects amount to up to about 5% beyond the fixed-order results for scalar and pseudoscalar Higgs boson production.Comment: 24 pages, 3 figures, comments and references added, corrected scale dependence, conclusions unchange

Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials

The spectra of massless Dirac operators are of essential interest e.g. for the electronic properties of graphene, but fundamental questions such as the existence of spectral gaps remain open. We show that the eigenvalues of massless Dirac operators with suitable real-valued potentials lie inside small sets easily characterised in terms of properties of the potentials, and we prove a Schnol'-type theorem relating spectral points to polynomial boundedness of solutions of the Dirac equation. Moreover, we show that, under minimal hypotheses which leave the potential essentially unrestrained in large parts of space, the spectrum of the massless Dirac operator covers the whole real line; in particular, this will be the case if the potential is nearly constant in a sequence of regions.Comment: 18 page