59473327
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV-formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present a proof of the isomorphism between the graph complex and the Chevalley-Eilenberg complex of formal Hamiltonian vectors fields. We briefly discuss how these ideas can be extended to the infinite dimensional setting. These notes should be accessible to both physicists and mathematicians.
15055597
Dimensional regularization and dimensional reduction in the light cone
We calculate all of the 2 to 2 scattering process in Yang-Mills theory in the light cone gauge, with the dimensional regulator as the UV regulator. The IR is regulated with a cutoff in ${q}^{+}$. It supplements our earlier work, where a Lorentz noncovariant regulator was used, and the final results bear some problems in gauge fixing. Supersymmetry relations among various amplitudes are checked by using the light cone superfields.
118839219
PQCD Analysis of Hard Scattering in Nuclei
We review the extension of the factorization formalism for perturbative QCD to soft initial- and final-state scattering associated with hard processes in nuclei.
14133005
Probing small-x gluons by low-mass Drell-Yan pairs at colliders
The transverse-momentum (Q{sub T}) distribution of low-mass Drell-Yan pairs is calculated in QCD perturbation theory with all-order resummation of {alpha}{sub s}({alpha}{sub s} ln(Q{sub T}{sup 2}/Q{sup 2})){sup n} type terms. We demonstrate that the rapidity distribution of low-mass Drell-Yan pairs at large-enough transverse momentum is an advantageous source of constraints on the gluon distribution and its nuclear dependence. We argue that low-mass Drell-Yan pairs in the forward region provide a good and clean probe of small-x gluons at collider energies.
119193850
Exploring the structure of the proton through polarization observables in lp→jet X
We present results for a complete set of polarization observables for jet production in lepton-proton collision, where the final-state lepton is not observed. The calculations are carried out in collinear factorization at the level of Born diagrams. For all the observables we also provide numerical estimates for typical kinematics of a potential future electron-ion collider. On the basis of this numerical study, the prospects for the transverse single target spin asymmetry are particularly promising. This observable is given by a certain quark-gluon correlation function, which has a direct relation to the transverse momentum dependent Sivers parton distribution.
118650355
Observation concerning the process dependence of the Sivers functions
The k{sub perpendicular} moment of a quark's Sivers function is known to be related to the corresponding twist-three quark-gluon correlation function T{sub q,F}(x,x). The two functions have been extracted from data for single-spin asymmetries in semi-inclusive deep-inelastic scattering and in single-inclusive hadron production in pp collisions, respectively. Performing a consistent comparison of the extracted functions, we find that they show a ''sign mismatch'': while the magnitude of the functions is roughly consistent, the k{sub perpendicular} moment of the Sivers function has opposite sign from that of T{sub q,F}(x,x), both for up and for down quarks. Barring any inconsistencies in our theoretical understanding of the Sivers functions and their process dependence, the implication of this mismatch is that either the Sivers effect is not dominantly responsible for the observed single-spin asymmetries in pp collisions or the current semi-inclusive lepton scattering data do not sufficiently constrain the k{sub perpendicular} moment of the quark Sivers functions. Both possibilities strengthen the case for further experimental investigations of single-spin asymmetries in high-energy pp and ep scattering.
119873813
Factorization and Quarkonium Production
It is possible to extend the formalism for high- p T heavy quarkonium factorization beyond leading power. This extension may be helpful in interpreting the relative roles of octet and singlet channels in the formalism of nonrelativistic QCD (NRQCD). It may enable us to understand the origin of the surprisingly large results for cross sections calculated in the color singlet sector of NRQCD.