Abstract
The transversity and the tensor charge of the nucleon, currently under active investigation experimentally and theoretically, are fundamental quantities in hadron physics as well as for our comprehension of the nucleon structure. Some tension between the values of the tensor charge, as computed on the basis of phenomenological extractions and lattice QCD calculations, has been observed. In this letter, by means of an explicit example, we study the role of assumptions, usually adopted in phenomenological parametrizations, and we show that, by relaxing some of them, such a tension could be eased.
Highlights
The collinear transversity function [1], hq1(x), together with the unpolarized fq/p(x) and the helicity g1qL(x) parton distribution functions, describe the collinear structure of a spin-1/2 hadron at leading twist
The rest of the letter is organized as follows: in Section 2 we present the results of global fits of the transversity function from Semi Inclusive Deep Inelastic Scattering (SIDIS) and e+e− data, obtained in the framework of the transverse momentum dependent (TMD)
In this letter we have studied the role of initial assumptions in phenomenological analyses for transversity function from SIDIS data
Summary
The collinear transversity function [1], hq1(x), together with the unpolarized fq/p(x) and the helicity g1qL(x) parton distribution functions, describe the collinear structure of a spin-1/2 hadron at leading twist. With respect to lattice QCD estimates, the latest phenomenological extractions of the transversity function [2, 3, 5, 9, 10, 18, 23] seem to show a tension [24] on the estimated values of gT as well as on individual contributions from up, δu, and down, δd, quarks (see Eq (16) below) To this extent, it is interesting to check what is the role of the underlying assumptions adopted in phenomenological analyses. By using an explicit example, we explore the impact of loosening some of these choices This would bring us to analyse several aspects, such as the parameter-space exploration, whether we observe the violation of the Soffer bound in existing data and how all of this traduces into (isovector) tensor charge estimates.
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