On the Field Renormalization Constant for Unstable Particles

A recently proposed normalization condition for the imaginary part of the self-energy of an unstable particle is shown to lead to a closed expression for the field renormalization constant Z. In turn, the exact expression for Z is necessary, in some important cases, in order to avoid power-like infrared divergences in high orders of perturbation theory. In the same examples, the width plays the r\^ole of an infrared cutoff and, consequently, Z is not an analytic function of the coupling constant.Comment: 7 pages (Latex

Considerations Concerning the QCD Corrections to Δρ\Delta\rho

Using recent results of Avdeev et al. and an expansion for \mu_t/\mms ($M_t$ is the pole mass and $\mu_t\equiv \hat{m_t}(\mu_t)$ ), it is shown that when deltarho is expressed in terms of $\hat{m_t}^2(M_t)$, the QCD correction is only $(2-3)\times 10^{-3}$ in the NLO approximation. As a consequence, in terms of $M_t^2$ the correction to \dr is almost entirely contained in \mmss/M_t^2, a pure QCD effect. The latter is studied using various optimization procedures, and the results compared with the expansion proposed by Avdeev et al.. Implications for \ew physics are discussed. Threshold effects are analyzed on the basis of a simple sum rule.Comment: 11 pages plain LaTeX including 2 table

Massive-Evolution Effects on Charmonium Hadroproduction

The fragmentation functions D_{a -> H}(x,mu^2) of a heavy hadron H, with mass m_H, satisfy the phase-space constraint D_{a - > H}(x,mu^2)=0 for x < m_H^2/mu^2, which is violated by the naive mu^2 evolution equations. Using appropriately generalized mu^2 evolution equations, we reconsider the inclusive hadroproduction of prompt J/psi mesons with high transverse momenta in the framework of the factorization formalism of nonrelativistic quantum chromodynamics, and determine the resulting shifts in the values of the leading colour-octet matrix elements, which are fitted to data from the Fermilab Tevatron.Comment: 8 pages (Latex), 3 figures (Postscript

Inclusive b and b anti-b production with quasi-multi-Regge kinematics at the Tevatron

We consider b-jet hadroproduction in the quasi-multi-Regge-kinematics approach based on the hypothesis of gluon and quark Reggeization in t-channel exchanges at high energies. The preliminary data on inclusive b-jet and b anti-b-dijet production taken by the CDF Collaboration at the Fermilab Tevatron are well described without adjusting parameters. We find the main contribution to inclusive b-jet production to be the scattering of a Reggeized gluon and a Reggeized b-quark to a b quark, which is described by the effective Reggeon-Reggeon-quark vertex. The main contribution to b anti-b-pair production arises from the scattering of two Reggeized gluons to a b anti-b pair, which is described by the effective Reggeon-Reggeon-quark-quark vertex. Our anaysis is based on the Kimber-Martin-Ryskin prescription for unintegrated gluon and quark distribution functions using as input the Martin-Roberts-Stirling-Thorne collinear parton distribution functions of the proton.Comment: 14 pages, 4 figures; formulas for effective vertices included, discussion of errors somewhat expanded; accepted for publication in Phys. Rev.

M(Bc∗)−M(Bc)M(B^*_c)-M(B_c) Splitting from Nonrelativistic Renormalization Group

We compute the hyperfine splitting in a heavy quarkonium composed of different flavors in next-to-leading logarithmic approximation using the nonrelativistic renormalization group. We predict the mass difference of the vector and pseudoscalar charm-bottom mesons to be $M(B^*_c)-M(B_c)=46 \pm 15 {(\rm th)} {}^{+13}_{-11} (\delta\alpha_s)$ MeV.Comment: Eq.(22) and Appendix corrected, numerical results slightly changed. arXiv admin note: text overlap with arXiv:hep-ph/031208

Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin

We compute the third-order correction to the S-wave quarkonium wave functions |\psi_n(0)|^2 at the origin from non-Coulomb potentials in the effective non-relativistic Lagrangian. Together with previous results on the Coulomb correction and the ultrasoft correction computed in a companion paper, this completes the third-order calculation up to a few unknown matching coefficients. Numerical estimates of the new correction for bottomonium and toponium are given.Comment: 12 pages, v2: matches published version, missing factors in eq. (9), (29) adde

Quarkonium production in deep-inelastic scattering

We discuss the inclusive production of J/psi mesons in deep-inelastic scattering (DIS) via the electromagnetic, weak neutral, and charged currents within the factorization formalism of nonrelativistic quantum chromodynamics. Theoretical predictions are confronted with experimental data of e p and nu N DIS taken by the H1 Collaboration at DESY HERA and the CHORUS Collaboration at CERN, respectively.Comment: 6 pages (Latex), 6 figures (Postscript); to appear in the Proceedings of the 6th International Symposium on Radiative Corrections: Application of Quantum Field Theory to Phenomenology (RADCOR 2002), Kloster Banz, Germany, September 8-13, 200

Inclusive electroproduction of light hadrons with large p_T at next-to-leading order

We review recent results on the inclusive electroproduction of light hadrons at next-to-leading order in the parton model of quantum chromodynamics implemented with fragmentation functions and present updated predictions for HERA experiments based on the new AKK set.Comment: 4 pages, 5 figures, to appear in the proceedings of the XIII International Workshop on Deep Inelastic Scattering (DIS 2005