45,301 research outputs found
Universality of soft and collinear factors in hard-scattering factorization
Universality in QCD factorization of parton densities, fragmentation
functions, and soft factors is endangered by the process dependence of the
directions of Wilson lines in their definitions. We find a choice of directions
that is consistent with factorization and that gives universality between
e^+e^- annihilation, semi-inclusive deep-inelastic scattering, and the
Drell-Yan process. Universality is only modified by a time-reversal
transformation of the soft function and parton densities between Drell-Yan and
the other processes, whose only effect is the known reversal of sign for T-odd
parton densities like the Sivers function. The modifications of the definitions
needed to remove rapidity divergences with light-like Wilson lines do not
affect the results.Comment: 4 pages. Extra references. Text and references as in published
versio
QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
We demonstrate a factorization formula for semi-inclusive deep-inelastic
scattering with hadrons in the current fragmentation region detected at low
transverse momentum. To facilitate the factorization, we introduce the
transverse-momentum dependent parton distributions and fragmentation functions
with gauge links slightly off the light-cone, and with soft-gluon radiations
subtracted. We verify the factorization to one-loop order in perturbative
quantum chromodynamics and argue that it is valid to all orders in perturbation
theory.Comment: 28 pages, figures include
Factorization theorems for exclusive heavy-quarkonium production
We outline the proofs of the factorization theorems for exclusive two-body
charmonium production in B-meson decay and e^+e^- annihilation to all orders in
perturbation theory in quantum chromodynamics. We find that factorized
expressions hold up to corrections of order m_c/m_b in B-meson decay and
corrections of order m_c^2/s in e^+e^- annihilation, where m_c is the
charm-quark mass, m_b is the bottom-quark mass, and root-s is the e^+e^-
center-of-momentum energy.Comment: 4 pages, 2 figure
Factorization of low-energy gluons in exclusive processes
We outline a proof of factorization in exclusive processes, taking into
account the presence of soft and collinear modes of arbitrarily low energy,
which arise when the external lines of the process are taken on shell.
Specifically, we examine the process of e^+e^- annihilation through a virtual
photon into two light mesons. In an intermediate step, we establish a
factorized form that contains a soft function that is free of collinear
divergences. In contrast, in soft-collinear effective theory, the low-energy
collinear modes factor most straightforwardly into the soft function. We point
out that the cancellation of the soft function, which relies on the
color-singlet nature of the external hadrons, fails when the soft function
contains low-energy collinear modes.Comment: 18 pages, 10 figures, 2 tables, version published in Physical Review
Factorization in exclusive quarkonium production
We present factorization theorems for two exclusive heavy-quarkonium
production processes: production of two quarkonia in e^+e^- annihilation and
production of a quarkonium and a light meson in B-meson decays. We describe the
general proofs of factorization and supplement them with explicit one-loop
analyses, which illustrate some of the features of the soft-gluon
cancellations. We find that violations of factorization are generally
suppressed relative to the factorized contributions by a factor v^2m_c/Q for
each S-wave charmonium and a factor m_c/Q for each L-wave charmonium with L>0.
Here, v is the velocity of the heavy quark or antiquark in the quarkonium rest
frame, Q=sqrt{s} for e^+e^- annihilation, Q=m_B for B-meson decays, sqrt{s} is
the e^+e^- center-of-momentum energy, m_c is the charm-quark mass, and m_B is
the B-meson mass. There are modifications to the suppression factors if
quantum-number restrictions apply for the specific process.Comment: 69 pages, 12 figures, 2 tables. v2: Version published in Physical
Review
Factorization in hard diffraction
In this talk, I reviewed the role of factorization in diffraction hard
scattering.Comment: Talk presented at the Ringberg Workshop on ``New Trends in HERA
Physics 2001''. 10 pages, 6 postscript figures. Misprints correcte
Post-Impact Thermal Evolution of Porous Planetesimals
Impacts between planetesimals have largely been ruled out as a heat source in
the early Solar System, by calculations that show them to be an inefficient
heat source and unlikely to cause global heating. However, the long-term,
localized thermal effects of impacts on planetesimals have never been fully
quantified. Here, we simulate a range of impact scenarios between planetesimals
to determine the post-impact thermal histories of the parent bodies, and hence
the importance of impact heating in the thermal evolution of planetesimals. We
find on a local scale that heating material to petrologic type 6 is achievable
for a range of impact velocities and initial porosities, and impact melting is
possible in porous material at a velocity of > 4 km/s. Burial of heated
impactor material beneath the impact crater is common, insulating that material
and allowing the parent body to retain the heat for extended periods (~
millions of years). Cooling rates at 773 K are typically 1 - 1000 K/Ma,
matching a wide range of measurements of metallographic cooling rates from
chondritic materials. While the heating presented here is localized to the
impact site, multiple impacts over the lifetime of a parent body are likely to
have occurred. Moreover, as most meteorite samples are on the centimeter to
meter scale, the localized effects of impact heating cannot be ignored.Comment: 38 pages, 9 figures, Revised for Geochimica et Cosmochimica Acta
(Sorry, they do not accept LaTeX
- …