2,060 research outputs found
Renormalizability of the massive Yang-Mills theory
It is shown that the massive Yang-Mills theory is on mass-shell
renormalizable. Thus the Standard Model of electroweak interactions can be
modified by removing terms with the scalar field from the Lagrangian in the
unitary gauge. The resulting electroweak theory without the Higgs particle is
on mass-shell renormalizable and unitary.Comment: 9 page
The NNLO QCD analysis of the CCFR data for xF_3: is there still the room for the twist-4 terms?
The results of the more detailed NNLO QCD analysis of the CCFR data for
SF are presented. The factorization scale uncertainties are analysed.
The NNLO results for and twist-4 contributions are obtained.
Despite the fact that the amplitude of the -shape of the twist-4 factor is
consequently decreasing at the NLO and NNLO, our new QCD analysis seems to
reveal the remaining twist-4 structure at the NNLO level. The definite NLO
uncertainties are fixed using the [0/2] Pad\'e resummation technique.Comment: LaTeX, 3 pages, 1 figure; to be published in the Proceedings of DIS99
Workshop, Zeuthen, April 19-23; some technical shortcomings are fixed in the
file, 2 referencies correcte
Order perturbative QCD corrections to the Gottfried sum rule
The order perturbative QCD correction to the Gottfried sum rule
is obtained. The result is based on numerical calculation of the order
contribution to the coefficient function and on the new estimate
of the three-loop anomalous dimension term. The correction found is negative
and rather small. Therefore it does not affect the necessity to introduce
flavour-asymmetry between and antiquarks for the
description of NMC result for the Gottfried sum rule.Comment: LaTeX, 7 pages, the discussions of the corrections to
the anomalous dimension are modified; 1 reference added; to be published in
Phys. Lett.
Limits on Lorentz Violation from the Highest Energy Cosmic Rays
We place several new limits on Lorentz violating effects, which can modify
particles' dispersion relations, by considering the highest energy cosmic rays
observed. Since these are hadrons, this involves considering the partonic
content of such cosmic rays. We get a number of bounds on differences in
maximum propagation speeds, which are typically bounded at the 10^{-21} level,
and on momentum dependent dispersion corrections of the form v = 1 +-
p^2/Lambda^2, which typically bound Lambda > 10^{21} GeV, well above the Planck
scale. For (CPT violating) dispersion correction of the form v = 1 + p/Lambda,
the bounds are up to 15 orders of magnitude beyond the Planck scale.Comment: 24 pages, no figures. Added references, very slight changes. Version
published in Physical Review
Relating Physical Observables in QCD without Scale-Scheme Ambiguity
We discuss the St\"uckelberg-Peterman extended renormalization group
equations in perturbative QCD, which express the invariance of physical
observables under renormalization-scale and scheme-parameter transformations.
We introduce a universal coupling function that covers all possible choices of
scale and scheme. Any perturbative series in QCD is shown to be equivalent to a
particular point in this function. This function can be computed from a set of
first-order differential equations involving the extended beta functions. We
propose the use of these evolution equations instead of perturbative series for
numerical evaluation of physical observables. This formalism is free of
scale-scheme ambiguity and allows a reliable error analysis of higher-order
corrections. It also provides a precise definition for as the pole in the associated 't Hooft scheme. A concrete application to
is presented.Comment: Plain TEX, 4 figures (available upon request), 22 pages,
DOE/ER/40322-17
RENORMALONS FROM EIGHT LOOP EXPANSION OF THE GLUON CONDENSATE IN LATTICE GAUGE THEORY,
We use a numerical method to obtain the weak coupling perturbative
coefficients of local operators with lattice regularization. Such a method
allows us to extend the perturbative expansions obtained so far by analytical
Feynman diagrams calculations. In SU(3) lattice gauge theory in four dimensions
we compute the first eight coefficients of the expectation value of the Wilson
loop on the elementary plaquette which is related to the gluon condensate. The
computed eight coefficients grow with the order much faster than predicted by
the presence of the infrared renormalon associated to the dimension of the
gluon condensate. However the renormalon behaviour for large order is quite
well reproduced if one considers the expansion coefficients in a new coupling
related to the lattice coupling by large perturbative corrections. This is
expected since the lattice and continuum Lambda scales differ by almost two
orders of magnitude.Comment: 11 pages, LaTe
Production of a pseudo-scalar Higgs boson at hadron colliders at next-to-next-to leading order
The production cross section for pseudo-scalar Higgs bosons at hadron
colliders is computed at next-to-next-to-leading order (NNLO) in QCD. The
pseudo-scalar Higgs is assumed to couple only to top quarks. The NNLO effects
are evaluated using an effective lagrangian where the top quarks are integrated
out. The NNLO corrections are similar in size to those found for scalar Higgs
boson production.Comment: 20 pages, 6 figures, JHEP style, Minor changes, Journal reference
adde
Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
It is performed for the first time a next-to-next-to-leading order analysis
of deep inelastic structure functions and using the recently
determined first moments of the non-singlet anomalous dimensions and the
corresponding Wilson coefficients. {}From a comparison to BCDMS data we found a
slight decrease in the energy scale of perturbative QCD with respect to the
next-to-leading order analysis, which brings the scale closer to the value
predicted from a scheme invariant approach.Comment: Latex 12 pages, 2 figures available on request, preprint UCI-TR/94-
The order and corrections to the decay width of the neutral Higgs boson to the pair
We present the analytical expressions for the contributions of the order
and corrections to the
decay width of the Standard Model Higgs boson into the -pair. The
numerical value of the mixed QED and QCD correction of order
is comparable with the previously calculated
terms in the perturbative series for .Comment: LaTeX 5 pages, accepted for publication in Pisma Zh. Eksp. Teor. Fiz.
v 66, N5 (1997
Commensurate Scale Relations in Quantum Chromodynamics
We use the BLM method to show that perturbatively-calculable observables in
QCD can be related to each other without renormalization scale or scheme
ambiguity. We define and study the commensurate scale relations. We show that
the commensurate scales satisfy the renormalization group transitivity rule
which ensures that predictions in PQCD are independent of the choice of an
intermediate renormalization scheme. We generalize the BLM procedure to higher
order. The application of this procedure to relate known physical observables
in QCD gives surprisingly simple results. In particular, the annihilation ratio
and the Bjorken sum rule for polarized electroproduction are
related through simple coefficients, which reinforces the idea of a hidden
symmetry between these two observables.Comment: 35 pages (RevTeX), one PostScript figure included at the end.
SLAC-PUB-6481, UMD Preprint #94-13
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