1,890 research outputs found
QCD and Rescattering in Nuclear Targets
We review the extension of the factorization formalism of perturbative QCD to
soft rescattering associated with hard processes in nuclei.Comment: Latex 16 pages, including 18 figures, to appear in the Proceedings of
Hard Probe Collaboratio
Universal structure of subleading infrared poles in gauge theory amplitudes
We study the origin of subleading soft and collinear poles of form factors
and amplitudes in dimensionally-regulated massless gauge theories. In the case
of form factors of fundamental fields, these poles originate from a single
function of the coupling, denoted G(alpha_s), depending on both the spin and
gauge quantum numbers of the field. We relate G(alpha_s) to gauge-theory matrix
elements involving the gluon field strength. We then show that G(alpha_s) is
the sum of three terms: a universal eikonal anomalous dimension, a universal
non-eikonal contribution, given by the coefficient B_delta (alpha_s) of delta(1
- z) in the collinear evolution kernel, and a process-dependent short-distance
coefficient function, which does not contribute to infrared poles. Using
general results on the factorization of soft and collinear singularities in
fixed-angle massless gauge theory amplitudes, we conclude that all such
singularities are captured by the eikonal approximation, supplemented only by
the knowledge of B_delta (alpha_s). We explore the consequences of our results
for conformal gauge theories, where in particular we find a simple exact
relation between the form factor and the cusp anomalous dimension.Comment: 29 pages, 1 figure; version published on JHEP, two added reference
Dilepton production near partonic threshold in transversely polarized proton-antiproton collisions
It has recently been suggested that collisions of transversely polarized
protons and antiprotons at the GSI could be used to determine the nucleon's
transversity densities from measurements of the double-spin asymmetry for the
Drell-Yan process. We analyze the role of higher-order perturbative QCD
corrections in this kinematic regime, in terms of the available fixed-order
contributions as well as of all-order soft-gluon resummations. We find that the
combined perturbative corrections to the individual unpolarized and
transversely polarized cross sections are large. We trace these large
enhancements to soft gluon emission near partonic threshold, and we suggest
that with a physically-motivated cut-off enhancements beyond lowest order are
moderated relative to resummed perturbation theory, but still significant. The
unpolarized dilepton cross section for the GSI kinematics may therefore provide
information on the relation of perturbative and nonperturbative dynamics in
hadronic scattering. The spin asymmetry turns out to be rather robust,
relatively insensitive to higher orders, resummation, and the cut-offs.Comment: 23 pages, 19 figures as eps. Some discussion and references added.
Final version to appear in Phys. Rev.
Air modulation apparatus
An air modulation apparatus, such as for use in modulating cooling air to the turbine section of a gas turbine engine is described. The apparatus includes valve means disposed around an annular conduit, such as a nozzle, in the engine cooling air circuit. The valve means, when in a closed position, blocks a portion of the conduit, and thus reduces the amount and increases the velocity of cooling air flowing through the nozzle. The apparatus also includes actuation means, which can operate in response to predetermined engine conditions, for enabling opening and closing of the valve means
Jets in Effective Theory: Summing Phase Space Logs
We demonstrate how to resum phase space logarithms in the Sterman-Weinberg
(SW) dijet decay rate within the context of Soft Collinear Effective theory
(SCET). An operator basis corresponding to two and three jet events is defined
in SCET and renormalized. We obtain the RGE of the two and three jet operators
and run the operators from the scale to the phase space scale . This phase space scale, where is the
cone half angle of the jet, defines the angular region of the jet. At we determine the mixing of the three and two jet operators. We
combine these results with the running of the two jet shape function, which we
run down to an energy cut scale . This defines the resumed SW
dijet decay rate in the context of SCET. The approach outlined here
demonstrates how to establish a jet definition in the context of SCET. This
allows a program of systematically improving the theoretical precision of jet
phenomenology to be carried out.Comment: 25 pages, 4 figures, V2: Typos fixed, writing clarified, detail on
PSRG added. Matching onto jet definition changed to taking place at collinear
scal
Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
The distributions of two-jet event shapes contain information on
hadronization in QCD. Near the two-jet limit, these distributions can be
described by convolutions of nonperturbative event shape functions with the
same distributions calculated in resummed perturbation theory. The shape
functions, in turn, are determined by correlations of momentum flow operators
with each other and with light-like Wilson lines, which describe the coupling
of soft, wide-angle radiation to jets. We observe that leading power
corrections to the mean values of event shapes are determined by the
correlation of a single momentum flow operator with the relevant Wilson lines.
This generalizes arguments for the universality of leading power corrections
based on the low-scale behavior of the running coupling or resummation. We also
show how a study of the angularity event shapes can provide information on
correlations involving multiple momentum flow operators, giving a window to the
system of QCD dynamics that underlies the variety of event shape functions. In
deriving these results, we review, develop and compare factorization techniques
in conventional perturbative QCD and soft-collinear effective theory (SCET). We
give special emphasis to the elimination of double counting of momentum regions
in these two formalisms.Comment: 25 pages revtex
Generation of Circular Polarization of the Cosmic Microwave Background
The standard cosmological model, which includes only Compton scattering
photon interactions at energy scales near recombination, results in zero
primordial circular polarization of the cosmic microwave background. In this
paper we consider a particular renormalizable and gauge-invariant standard
model extension coupling photons to an external vector field via a Chern-Simons
term, which arises as a radiative correction if gravitational torsion couples
to fermions. We compute the transport equations for polarized photons from a
Boltzmann-like equation, showing that such a coupling will source circular
polarization of the microwave background. For the particular coupling
considered here, the circular polarization effect is always negligible compared
to the rotation of the linear polarization orientation, also derived using the
same formalism. We note the possibility that limits on microwave background
circular polarization may probe other photon interactions and related
fundamental effects such as violations of Lorentz invariance.Comment: 20 pages. Revised version includes an explicit calculation of gauge
invariance. Text reorganized to improve clarity, and references adde
Substructure of high-p_T Jets at the LHC
We study high-pt jets from QCD and from highly-boosted massive particles such
as tops, W, Z and Higgs, and argue that infrared-safe observables can help
reduce QCD backgrounds. Jets from QCD are characterized by different patterns
of energy flow compared to the products of highly-boosted heavy particle
decays, and we employ a variety of jet shapes, observables restricted to energy
flow within a jet, to explore this difference. Results from Monte Carlo
generators and arguments based on perturbation theory support the
discriminating power of the shapes we refer to as planar flow and angularities.
We emphasize that for massive jets, these and other observables can be analyzed
perturbatively.Comment: 5 pages and 4 figure
An operator expansion for the elastic limit
A leading twist expansion in terms of bi-local operators is proposed for the
structure functions of deeply inelastic scattering near the elastic limit , which is also applicable to a range of other processes. Operators of
increasing dimensions contribute to logarithmically enhanced terms which are
supressed by corresponding powers of . For the longitudinal structure
function, in moment () space, all the logarithmic contributions of order
are shown to be resummable in terms of the anomalous dimension of
the leading operator in the expansion.Comment: 9 pages, 1 figure, uses REVTEX 3.1 and axodra
The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
The resummation of soft gluon exchange for QCD hard scattering requires a
matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2
to n massless processes for the first time at two loops. Using color generator
notation, we show that it is proportional to the one-loop matrix. This result
reproduces all pole terms in dimensional regularization of the explicit
calculations of massless 2 to 2 amplitudes in the literature, and it predicts
all poles at next-to-next-to-leading order in any 2 to n process that has been
computed at next-to-leading order. The proportionality of the one- and two-loop
matrices makes possible the resummation in closed form of the
next-to-next-to-leading logarithms and poles in dimensional regularization for
the 2 to n processes.Comment: 5 pages, 1 figure, revte
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