Abstract

We present an extraction of unpolarized partonic transverse momentum distributions (TMDs) from a simultaneous fit of available data measured in semi-inclusive deep-inelastic scattering, Drell-Yan and Z boson production. To connect data at different scales, we use TMD evolution at next-to-leading logarithmic accuracy. The analysis is restricted to the low-transverse-momentum region, with no matching to fixed-order calculations at high transverse momentum. We introduce specific choices to deal with TMD evolution at low scales, of the order of 1 GeV2. This could be considered as a first attempt at a global fit of TMDs.

Highlights

  • We present an extraction of unpolarized partonic transverse momentum distributions (TMDs) from a simultaneous fit of available data measured in semi-inclusive deep-inelastic scattering, Drell-Yan and Z boson production

  • We focus on the simplest ones, i.e., the unpolarized TMD PDF f1q(x, k⊥2 ) and the unpolarized TMD FF D1q→h(z, P⊥2 ), where z is the fractional energy carried by the detected hadron h, k⊥ is the transverse momentum of the parton with respect to the parent hadron, and P⊥ is the transverse momentum of the produced hadron with respect to the parent parton

  • In this work we demonstrated for the first time that it is possible to perform a simultaneous fit of unpolarized TMD PDFs and FFs to data of semi-inclusive DIS (SIDIS), Drell-Yan and Z boson production at small transverse momentum collected by different experiments

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Summary

Introduction

We focus on the simplest ones, i.e., the unpolarized TMD PDF f1q(x, k⊥2 ) and the unpolarized TMD FF D1q→h(z, P⊥2 ), where z is the fractional energy carried by the detected hadron h, k⊥ is the transverse momentum of the parton with respect to the parent hadron, and P⊥ is the transverse momentum of the produced hadron with respect to the parent parton Despite their simplicity, the phenomenology of these unpolarized TMDs presents several challenges [22]: the choice of a functional form for the nonperturbative components of TMDs, the inclusion of a possible dependence on partonic flavor [23], the implementation of TMD evolution [4, 24], the matching to fixed-order calculations in collinear factorization [25].

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