Transversity in inclusive DIS and novel TMD sum rules

Alberto Accardi; Andrea Signori

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arXiv · 1808.00565

Transversity in inclusive DIS and novel TMD sum rules

Alberto Accardi·Andrea Signori

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Abstract

A reanalysis of collinear factorization for inclusive Deep Inelastic Scattering shows that a novel, non perturbative spin-flip term associated with the invariant mass of the produced hadrons couples, at large enough Bjorken $x_B$, to the target's transversity distribution function. The resulting new contribution to the $g_2$ structure function can potentially explain the discrepancy between recent calculations and fits of this quantity. The new term also breaks the Burkhardt-Cottingham sum rule, now featuring an interplay between the $g_2$ and $h_1$ functions that calls for a re-examination of their small-$x$ behavior. As part of the calculation leading to these results, a new set of TMD sum rules is derived by relating the single-hadron quark fragmentation correlator to the fully dressed quark propagator by means of integration over the hadronic momenta and spins. A complete set of momentum sum rules is obtained for transverse-momentum-dependent quark fragmentation functions up to next-to-leading twist.

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Alberto Accardi, Andrea Signori. 2018-08-01. Transversity in inclusive DIS and novel TMD sum rules. https://arxiv.org/abs/1808.00565

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