A study on the interplay between perturbative QCD and CSS/TMD formalism in SIDIS processes

Abstract

We study the Semi-Inclusive Deep Inelastic Scattering (SIDIS) cross section as a function of the transverse momentum, $q_T$. In order to describe it over a wide region of $q_T$, soft gluon resummation has to be performed. Here we will use the original Collins-Soper-Sterman (CSS) formalism; however, the same procedure would hold within the improved Transverse Momentum Dependent (TMD) framework. We study the matching between the region where fixed order perturbative QCD can successfully be applied and the region where soft gluon resummation is necessary. We find that the commonly used prescription of matching through the so-called Y-factor cannot be applied in the SIDIS kinematical configurations we examine. In particular, the non-perturbative component of the resummed cross section turns out to play a crucial role and should not be overlooked even at relatively high energies. Moreover, the perturbative expansion of the resummed cross section in the matching region is not as reliable as it is usually believed and its treatment requires special attention.

Two references and an appendix added, 22 pages, 11 figures

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Cited by in corpus (19)

• Parton Fragmentation Functions
• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• The transverse momentum distribution of hadrons within jets
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Difficulties in the description of Drell-Yan processes at moderate invariant mass and high transverse momentum
• Challenges with Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering
• Assessing signals of TMD physics in SIDIS azimuthal asymmetries and in the extraction of the Sivers function
• Phenomenology of transverse spin: past, present and future
• A phenomenological analysis of azimuthal asymmetries in unpolarized semi-inclusive deep inelastic scattering
• Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
• Factorization of $e^{+}{e}^{-}\to HX$ cross section, differential in $z_h$, $P_T$ and thrust, in the $2$-jet limit
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Efficient Fourier Transforms for Transverse Momentum Dependent Distributions
• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
• The resolution to the problem of consistent large transverse momentum in TMDs
• Perturbative $T$-odd asymmetries in the Drell-Yan process revisited
• Basics of factorization in a scalar Yukawa field theory
• Quarkonium production at collider energies in Small-$x$ formalism
• Kinematic regions in the $e^{+}{e}^{-}\to hX$ factorized cross section in a $2$-jet topology with thrust