Transversity in inclusive DIS and novel TMD sum rules
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1492007
- Report Number(s):
- JLAB-THY-18-2774; DOE/OR/23177-4501; arXiv:1808.00565
- Journal Information:
- Proceedings of Science, Vol. DIS2018; Conference: DIS 2018, Port Island, Kobe, Japan, April 16-20, 2018
- Country of Publication:
- United States
- Language:
- English
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