1,770 research outputs found
Higher-twist corrections to gluon TMD factorization
We calculate power corrections to TMD factorization for particle production
by gluon-gluon fusion in hadron-hadron collisions.Comment: 29 pages, 3 figures; v2: misprints correcte
Gluon TMD in particle production from low to moderate x
We study the rapidity evolution of gluon transverse momentum dependent
distributions appearing in processes of particle production and show how this
evolution changes from small to moderate Bjorken x.Comment: 36 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1505.0215
Power corrections to TMD factorization for Z-boson production
A typical factorization formula for production of a particle with a small
transverse momentum in hadron-hadron collisions is given by a convolution of
two leading-twist TMD parton densities with cross section of production of the
final particle by the two partons. For practical applications at a given
transverse momentum, though, one should estimate at what momenta the power
corrections to TMD factorization formula due to higher-twist operators become
essential. In this paper we calculate the first power corrections to TMD
factorization formula for Z-boson production and Drell-Yan process in
high-energy hadron-hadron collisions. At the leading order in power
corrections are expressed in terms of leading-twist TMDs by QCD equations of
motion.Comment: 44 pages, 3 figures. v2: text changes. arXiv admin note: text overlap
with arXiv:1706.0141
Rapidity evolution of gluon TMD from low to moderate x
We study how the rapidity evolution of gluon transverse momentum dependent
distribution changes from nonlinear evolution at small to linear
evolution at moderate .Comment: 70 pages, 7 figures, published versio
Dynamical differential equations compatible with rational qKZ equations
For the Lie algebra we introduce a system of differential operators
called the dynamical operators. We prove that the dynamical differential
operators commute with the rational quantized Knizhnik-Zamolodchikov
difference operators. We describe the transformations of the dynamical
operators under the natural action of the Weyl group.Comment: 7 pages, AmsLaTe
Off-shell two loop QCD vertices
We calculate the triple gluon, ghost-gluon and quark-gluon vertex functions
at two loops in the MSbar scheme in the chiral limit for an arbitrary linear
covariant gauge when the external legs are all off-shell.Comment: 29 latex pages, 32 figures, anc directory contains txt file with
electronic version of vertex functions for each of the three 3-point cases in
the MSbar scheme and includes the projection matrice
Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
Fractional generalization of an exterior derivative for calculus of
variations is defined. The Hamilton and Lagrange approaches are considered.
Fractional Hamilton and Euler-Lagrange equations are derived. Fractional
equations of motion are obtained by fractional variation of Lagrangian and
Hamiltonian that have only integer derivatives.Comment: 21 pages, LaTe
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