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Title: Transversity in inclusive DIS and novel TMD sum rules

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.

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Hampton Univ., Hampton, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1492007
Report Number(s):
JLAB-THY-18-2774; DOE/OR/23177-4501; arXiv:1808.00565
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Conference
Journal Name:
Proceedings of Science
Additional Journal Information:
Journal Volume: DIS2018; Conference: DIS 2018, Port Island, Kobe, Japan, April 16-20, 2018
Country of Publication:
United States
Language:
English

Citation Formats

Accardi, Alberto, and Signori, Andrea. Transversity in inclusive DIS and novel TMD sum rules. United States: N. p., 2018. Web. doi:10.22323/1.316.0158.
Accardi, Alberto, & Signori, Andrea. Transversity in inclusive DIS and novel TMD sum rules. United States. doi:10.22323/1.316.0158.
Accardi, Alberto, and Signori, Andrea. Thu . "Transversity in inclusive DIS and novel TMD sum rules". United States. doi:10.22323/1.316.0158. https://www.osti.gov/servlets/purl/1492007.
@article{osti_1492007,
title = {Transversity in inclusive DIS and novel TMD sum rules},
author = {Accardi, Alberto and Signori, Andrea},
abstractNote = {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.},
doi = {10.22323/1.316.0158},
journal = {Proceedings of Science},
number = ,
volume = DIS2018,
place = {United States},
year = {2018},
month = {11}
}

Conference:
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