Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays.
TLDR
The one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass justifies the operator product expansion for inclusive decays of heavy charged particles and implies that infrared effects are suppressed by at least three powers of the heavy mass.Abstract:
We investigate the one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass. Extending the Bloch-Nordsieck cancellation of infrared logarithms, the two subsequent nonanalytic terms are also found to vanish after eliminating the pole mass of the decaying particle in favor of a mass defined at short distances. This observation justifies the operator product expansion for inclusive decays of heavy charged particles and implies that infrared effects are suppressed by at least three powers of the heavy mass.read more
Citations
More filters
Journal ArticleDOI
Dispersive approach to power-behaved contributions in QCD hard processes
TL;DR: In this paper, the authors consider power-behaved contributions to hard processes in QCD arising from nonperturbative effects at low scales which can be described by the notion of an infrared-finite effective coupling.
Journal ArticleDOI
Treating the b quark distribution function with reliable uncertainties
TL;DR: In this paper, the shape function of a b quark in the B meson has been treated as an orthonormal basis function, which consistently incorporates its renormalization group evolution and constraints on its shape and moments in any short distance mass scheme.
Journal ArticleDOI
Naive nonabelianization and resummation of fermion bubble chains
M. Beneke,Vladimir M. Braun +1 more
TL;DR: In this paper, the authors extend the Brodsky-Lepage-Mackenzie scale-fixing prescription by resuming exactly any number of one-loop vacuum polarization insertions into oneloop diagram.
Journal ArticleDOI
Short-distance tachyonic gluon mass and 1/Q2 corrections
TL;DR: In this article, the authors consider the assumption that a tachyonic gluon mass imitates short-distance nonperturbative physics of QCD and propose modifications of the QCD sum rules for correlators of currents with various quantum numbers, which lead to a slight reduction of the values of the running light quark masses from the pseudo-scalar sum rules and of α s (M τ ) from τ decay data.
Journal ArticleDOI
Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass
TL;DR: In this article, the authors propose to resum exactly any number of one-loop vacuum polarization insertions into the scale of the coupling of lowest order radiative corrections, which makes maximal use of the information contained in one-layer perturbative corrections combined with the oneloop running of the effective coupling and provides a natural extension of the familiar BLM scale-fixing prescription to all orders in the perturbation theory.
References
More filters
Journal ArticleDOI
Mass singularities of Feynman amplitudes
TL;DR: In this article, a general method is developed that enables us to determine the degree of divergence of unrenormalized Feynman amplitudes at such singularities, which is also applied to the determination of mass dependence of a total transition probability.
Journal ArticleDOI
Degenerate Systems and Mass Singularities
T. D. Lee,Michael Nauenberg +1 more
TL;DR: In this paper, it was shown that under certain general conditions such singularities do not appear in the power series expansions of the transition probabilities, provided these are averaged over an appropriate ensemble of degenerate states.
Journal ArticleDOI
Note on the Radiation Field of the electron
Felix Bloch,A. Nordsieck +1 more
TL;DR: In this article, it is shown that for frequencies such that the above three parameters are negligible the quantum mechanical calculation yields just the directly reinterpreted results of the classical formulae, namely that the total probability of a given change in the motion of the electron is unaffected by the interaction with radiation, and that the mean number of emitted quanta is infinite in such a way that the radiated energy is equal to the energy radiated classically in the corresponding trajectory.
Journal ArticleDOI
Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
M. Beneke,Vladimir M. Braun +1 more
TL;DR: In this article, the authors studied the perturbative series in the heavy quark effective theory (HQET) using the 1/Nƒ expansion and found that this theory suffers from an ultraviolet renormalon problem, corresponding to a non-Borel-summable behaviour of perturbation series in large orders.
Journal ArticleDOI
Nonperturbative corrections to inclusive beauty and charm decays. QCD versus phenomenological models
TL;DR: In this paper, a self-consistent method for treating nonperturbative effects in inclusive non-leptonic and semileptonic decays of heavy flavour hadrons is presented.
Related Papers (5)
Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
M. Beneke,Vladimir M. Braun +1 more