New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta

Abstract

In series of papers the Boer-Mulders function for a given quark flavour has been extracted: (i) from data on semi-inclusive deep inelastic scattering, using the simplifying, but theoretically inconsistent, assumption that it is proportional to the Sivers function for each quark flavour and (ii) from data on Drell-Yan reactions. In earlier papers, using the semi-inclusive deep inelastic COMPASS deuteron data on the $⟨\cos {\varphi }_h⟩$ and $⟨\cos 2{\varphi }_h⟩$ asymmetries, we extracted the collinear $x_{{}_B}$ dependence of the Boer-Mulders function for the sum of the valence quarks $Q_V=u_V+d_V$ using a small number of model dependent assumptions and found a significant disagreement with the analysis in (i). In the present paper, we provide a more complete analysis of the semi-inclusive deep inelastic scattering reaction, including a discussion of higher twist and interaction-dependent terms, and also a comparison with the Boer-Mulders function extracted from data on the Drell-Yan reaction. We confirm that the proportionality relation of the BM function to the Sivers function, for each quark flavour, fails badly, but find that it holds rather well if applied to the nonsinglet valence-quark combination, $Q_V$. We also find good agreement with the results of the Drell-Yan analysis. Furthermore, we obtain interesting information on the quark transverse momentum densities in the nucleon and on the hadron transverse momentum dependence in quark fragmentation.

15 pages, 9 figures (22 eps plots). This is a more complete study of the subject than in our previous paper arXiv:1909.08218. In this version, Sec. II and V are modified, Fig.5 is replaced, with corresponding slight modifications in the Conclusions; matches published version in Phys.Rev.D

References in corpus (15)

• Parton distributions for the LHC
• Transverse-momentum distributions in a diquark spectator model
• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Multiplicities of charged pions and kaons from semi-inclusive deep-inelastic scattering by the proton and the deuteron
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• The Polarised Valence Quark Distribution from semi-inclusive DIS
• A systematic phenomenological study of the $\cos 2\varphi$ asymmetry in unpolarized semi--inclusive DIS
• Extracting Boer-Mulders functions from $p+D$ Drell-Yan processes
• Azimuthal asymmetries in unpolarized Drell-Yan processes and the Boer-Mulders distributions of antiquarks
• Analyzing the Boer-Mulders function within different quark models
• A phenomenological analysis of azimuthal asymmetries in unpolarized semi-inclusive deep inelastic scattering
• The difference cross sections of unpolarized SIDIS with transverse momentum dependence
• Single hadron transverse spin asymmetries from COMPASS

Cited by in corpus (3)

• First Extraction of Transverse Momentum Dependent Helicity Distributions
• Nucleon Energy Correlators as a Probe of Light-Quark Dipole Operators at the Electron-Ion Collider
• Study of the Transverse-Momentum-Dependent structure of the nucleon in Semi-Inclusive DIS