Tests of the extraction of the Sivers, Boer-Mulders and transversity distributions in SIDIS reactions

Abstract

A major experimental program is presently underway worldwide to determine the fundamental non-perturbative functions, the Sivers, Boer-Mulders and transversity distributions, which are vital for an understanding of the internal structure of the nucleon. However, at present, many simplifying assumptions are used in extracting these functions from the data. We demonstrate that if the binning of the data in Q^2 is small enough so that Q^2-evolution can be neglected inside a bin, then one can obtain stringent tests of these assumptions. Failure to satisfy these tests implies that the presently extracted non-perturbative functions are unreliable. To this end we consider the measurement of the Sivers, Boer-Mulders and transversity difference asymmetries for hadrons with opposite charges in SIDIS reactions with unpolarized and transversely polarized deuteron and proton targets: l+N\to l'+h+X, h=π^\pm ,K^\pm ,h^\pm. Utilizing only charge and isospin invariance, and applying the above mentioned simplifying assumptions we obtain several testable relations amongst the measured asymmetries. If these tests are satisfied then the measured asymmetries determine two different combinations of the valence-quark transverse momentum dependent distributions, which can be determined separately without any contributions from the strange and other sea-quarks.

3 more references and 3 more Sections, where the asymmetries on proton target are considered are added, there are some changes in the Abstract and in the Introduction as well; 22 pages, Latex file

References in corpus (6)

• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Unpolarised Transverse Momentum Dependent Distribution and Fragmentation Functions from SIDIS Multiplicities
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• A systematic phenomenological study of the $\cos 2\varphi$ asymmetry in unpolarized semi--inclusive DIS
• Towards a model independent approach to fragmentation functions
• The difference cross sections of unpolarized SIDIS with transverse momentum dependence

Cited by in corpus (3)

• New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta
• Consistency tests for the extraction of the Boer-Mulders and Sivers functions
• Tests for Sivers, Boer-Mulders and transversity distributions in difference cross sections in SIDIS