1,503 research outputs found
The Massive Thermal Basketball Diagram
The "basketball diagram" is a three-loop vacuum diagram for a scalar field
theory that cannot be expressed in terms of one-loop diagrams. We calculate
this diagram for a massive scalar field at nonzero temperature, reducing it to
expressions involving three-dimensional integrals that can be easily evaluated
numerically. We use this result to calculate the free energy for a massive
scalar field with a phi^4 interaction to three-loop order.Comment: 19 pages, 3 figure
Comment on ``High Temperature Fermion Propagator -- Resummation and Gauge Dependence of the Damping Rate''
Baier et al. have reported the damping rate of long-wavelength fermionic
excitations in high-temperature QED and QCD to be gauge-fixing-dependent even
within the resummation scheme due to Braaten and Pisarski. It is shown that
this problem is caused by the singular nature of the on-shell expansion of the
fermion self-energy in the infra-red. Its regularization reveals that the
alleged gauge dependence pertains to the residue rather than the pole of the
fermion propagator, so that in particular the damping constant comes out
gauge-independent, as it should.Comment: 5 page
Top Quark Decays into Heavy Quark Mesons
For top quark decays into heavy quark mesons and , a
complete calculation to the leading order both in QCD coupling constant
and in , the typical velocity of the heavy quarks inside the
mesons, is performed. Relatons between the top quark mass and the decay
branching ratios are studied. Comparion with the results which are obtained by
using the quark frangmentation functions is also discussed. The branching
ratios are consistent (within a factor of ) with that obtained using
fragmentation functions at GeV.Comment: 15 pages in LaTex form, 4 figures include
Fragmentation, Factorization and Infrared Poles in Heavy Quarkonium Production
We explore the role of soft gluon exchange in heavy quarkonium production at
large transverse momentum. We find uncanceled infrared poles at NNLO that are
not matched by conventional NRQCD matrix elements. We show, however, that gauge
invariance and factorization require that conventional NRQCD production
operators be modified to include nonabelian phases or Wilson lines. With
appropriately modified operators, factorization is restored at NNLO. We also
argue that, in the absence of special cancellations, infrared poles at yet
higher orders may require the inclusion of additional nonlocal operators, not
present in the NRQCD expansion in relative veloctiy.Comment: 10 pages latex, 6 eps figure
Comment on ``Damping of energetic gluons and quarks in high-temperature QCD''
Burgess and Marini have recently pointed out that the leading contribution to
the damping rate of energetic gluons and quarks in the QCD plasma, given by
, can be obtained by simple arguments obviating the need
of a fully resummed perturbation theory as developed by Braaten and Pisarski.
Their calculation confirmed previous results of Braaten and Pisarski, but
contradicted those proposed by Lebedev and Smilga. While agreeing with the
general considerations made by Burgess and Marini, I correct their actual
calculation of the damping rates, which is based on a wrong expression for the
static limit of the resummed gluon propagator. The effect of this, however,
turns out to be cancelled fortuitously by another mistake, so as to leave all
of their conclusions unchanged. I also verify the gauge independence of the
results, which in the corrected calculation arises in a less obvious manner.Comment: 5 page
Lyapunov Exponent of SU(3) Gauge Theory
The classical SU(3) gauge theory is shown to be deterministic chaotic. Its
largest Lyapunov exponent is dertermined, from which a short time scale of
thermalization of a pure gluon system is estimated. The connection to gluon
damping rate is discussed.Comment: 9pages, 5 figures appended as PostScript files, DUKE-TH-92-4
Perturbative QCD relations inspired by hypothetical tau leptons
We review our recent works on tests of perturbative QCD, inspired by the
relation between the hadronic decay of the tau lepton and the e+ e-
annihilation into hadrons. First, we present a set of commensurate scale
relations that probe the self-consistency of leading-twist QCD predictions for
any observable which defines an effective charge. These tests are independent
of the renormalization scheme and scale, and are applicable over wide data
ranges. As an example we apply this approach to R_{e+ e-}. Second, using a
differential form of these conmensurate scale relations, we present a method to
measure the QCD Gell-Mann--Low Psi function.Comment: To appear in the proceedings of the QCD 99 Euroconference, 7-13th
July 1999 Montpellier, France 4 pages, uses espcrc2.sty (included
J/Psi Production from Electromagnetic Fragmentation in Z decay
The rate for is suprisingly large
with about one event for every million decays. The reason for this is
that there is a fragmentation contribution that is not suppressed by a factor
of . In the fragmentation limit with
fixed, the differential decay rate for factors into electromagnetic decay rates and universal
fragmentation functions. The fragmentation functions for lepton fragmentation
and photon fragmentation into are calculated to lowest order in
. The fragmentation approximation to the rate is shown to match the
full calculation for greater than about .Comment: 16 pages and 8 figure
Hadronic Production of S-wave and P-wave Charmed Beauty Mesons via Heavy Quark Fragmentation
At hadron colliders the dominant production mechanism of mesons
with large transverse momentum is due to parton fragmentation. We compute the
rates and transverse momentum spectra for production of S-wave and P-wave
mesons at the Tevatron via the direct fragmentation of the bottom
antiquark as well as the Altarelli-Parisi induced gluon fragmentation. Since
all the radially and orbitally excited mesons below the
flavor threshold will cascade into the pseudoscalar ground state through
electromagnetic and/or hadronic transitions, they all contribute to the
inclusive production of . The contributions of the excited S-wave and
P-wave states to the inclusive production of are 58 and 23\%,
respectively, and hence significant.Comment: Changes are made in the Discussio
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