Heavy Quark Effective Theory at Large Orders in 1/m1/m

The existing derivations of a heavy quark effective theory (HQET) are analyzed beyond the next-to-leading order in $1/m$. With one exception they are found to be incorrect. The problem is a wrong normalization of the heavy quark field in the effective theory. We argue that the correct effective theory should be given by a Foldy--Wouthuysen type field transformation to all orders in $1/m$. The renormalization of the resulting Lagrangian to order $1/m^2$ is performed allowing for inclusion of effects arising through vacuum polarization. Our results for the anomalous dimensions disagree with the existing ones. Some applications are considered.Comment: 24 pages, LaTeX, MZ-TH/93-13 (revised). Major change

Exclusive Radiative Decays of W and Z Bosons in QCD Factorization

We present a detailed theoretical analysis of very rare, exclusive hadronic decays of the electroweak gauge bosons V=W, Z from first principles of QCD. Our main focus is on the radiative decays V->M+gamma, in which M is a pseudoscalar or vector meson. At leading order in an expansion in powers of Lambda_{QCD}/m_V the decay amplitudes can be factorized into convolutions of calculable hard-scattering coefficients with the leading-twist light-cone distribution amplitude of the meson M. Power corrections to the decay rates arise first at order (Lambda_{QCD}/m_V)^2. They can be estimated in terms of higher-twist distribution amplitudes and are predicted to be tiny. We include one-loop O(alpha_s) radiative corrections to the hard-scattering coefficients and perform the resummation of large logarithms [alpha_s log(m_V^2/mu_0^2)]^n (with mu_0=1 GeV a typical hadronic scale) to all orders in perturbation theory. Evolution effects have an important impact both numerically and conceptually, since they reduce the sensitivity to poorly determined hadronic parameters. We present detailed numerical predictions and error estimates, which can serve as benchmarks for future precision measurements. We also present an exploratory study of the weak radiative decays Z->M+W. Some of the decay modes studied here have branching ratios large enough to be accessible in the high-luminosity run of the LHC. Many of them can be measured with high accuracy at a future lepton collider. This will provide stringent tests of the QCD factorization formalism and enable novel searches for new physics.Comment: 37 pages (+ appendices and references), 9 figures and 9 tables. v2: Comparison with recent ATLAS data added, minor revisions + some references added. v3: decay constant of the phi and omega mesons updated and few typos fixed; version published in JHE

Radion-higgs mixing state at the LHC with the KK contributions to the production and decay

In this paper we study the higgs-radion system of the Randall-Sundum model where matter and gauge fields live in the bulk. We take into account the Kalza-Klein(KK) loop correction for the higgs and the raidion coupling to the gauge bosons. Inspired by the LHC data in 2011 where a sign of the higgs boson has been seen at 125 GeV, we fix the one of the mass eigenstate of the higgs-radion mixed state at 125 GeV, and scan over all the other parameters which have not been excluded by the 2011's data. We find the region of parameters where the scalar particle at 125 GeV have branching ratio larger or smaller than that of the Standard Model(SM) higgs significantly. The predicted ratio Br(ZZ)/Br(gamma gamma) also may be different from that of the SM higgs boson.Comment: 13 pages 6 figure

Fully Differential Higgs Pair Production in Association With a WW Boson at Next-to-Next-to-Leading Order in QCD

To clarify the electroweak symmetry breaking mechanism, we need to probe the Higgs self-couplings, which can be measured in Higgs pair productions. The associated production with a vector boson is special due to a clear tag in the final state. We perform a fully differential next-to-next-to-leading-order calculation of the Higgs pair production in association with a $W$ boson at hadron colliders, and present numerical results at the 14 TeV LHC and a future 100 TeV hadron collider.Comment: 7 pages, 7 figures, matched to the published version in PL

QCD Corrections and the Endpoint of the Lepton Spectrum in Semileptonic B Decays

Recently, Neubert has suggested that a certain class of nonperturbative corrections dominates the shape of the electron spectrum in the endpoint region of semileptonic $B$ decay. Perturbative QCD corrections are important in the endpoint region. We study the effects of these corrections on Neubert's proposal. The connection between the endpoint of the electron spectrum in semileptonic $B$ decay and the photon spectrum in $b\rightarrow s\gamma$ is outlined.Comment: 18 pages, uses REVTeX, UCSD/PTH 93-38, CALT-68-1910, JHU-TIPAC-930029 (some changes to the discussion of subleading radiative corrections, and minor typos fixed

Indirect tests of the Randall-Sundrum model

I present phenomenological implications of the Randall-Sundrum model for indirect searches, specifically a selection of flavor observables and Higgs-related collider searches. I review the interplay of constraints from CP violation in flavor physics, possible effects in rare decays, and model-specific protection mechanisms. Deviations in the Higgs couplings to fermions and, at one-loop, to gluons are unexpectedly strong and lead to strong modifications in Higgs searches.Comment: 8 pages, 6 figures; Talk given at Discrete '10: Symposium on Prospects in the Physics of Discrete Symmetries, Rome, Italy, 6-11 Dec 201