Operator constraints for twist3 functions and Lorentz invariance properties of twist3 observables
We investigate the behavior under Lorentz transformations of perturbative coefficient functions in a collinear twist3 formalism relevant for highenergy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentzinvariant forms in various frames. This somewhat surprising difference can be traced back to a general dependence of the perturbative coefficient functions on light cone vectors which are introduced by the twist3 factorization formulas and which are framedependent. One can remove this spurious frame dependence by invoking socalled Lorentz invariance relations (LIRs) between twist3 parton correlation functions. Some of those relations for twist3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist3 fragmentation functions. We explicitly demonstrate that these LIRs remove the light cone vector dependence by considering transverse spin observables in the singleinclusive production of hadrons in leptonnucleon collisions, ℓN→hX. Furthermore, with the LIRs in hand, we also show that twist3 observables in general can be written solely in terms of threeparton correlation functions.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[1]};
^{[4]}
 Temple Univ., Philadelphia, PA (United States)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Niigata Univ., Niigata (Japan)
 Univ. of Tubingen, Tubingen (Germany)
 Publication Date:
 Report Number(s):
 BNL1119762016JA
Journal ID: ISSN 24700010; PRVDAQ; R&D Project: PO3
 Grant/Contract Number:
 SC00112704
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 93; Journal Issue: 5; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center
 OSTI Identifier:
 1246800
Kanazawa, Koichi, Pitonyak, Daniel, Koike, Yuji, Metz, Andreas, and Schlegel, Marc. Operator constraints for twist3 functions and Lorentz invariance properties of twist3 observables. United States: N. p.,
Web. doi:10.1103/PhysRevD.93.054024.
Kanazawa, Koichi, Pitonyak, Daniel, Koike, Yuji, Metz, Andreas, & Schlegel, Marc. Operator constraints for twist3 functions and Lorentz invariance properties of twist3 observables. United States. doi:10.1103/PhysRevD.93.054024.
Kanazawa, Koichi, Pitonyak, Daniel, Koike, Yuji, Metz, Andreas, and Schlegel, Marc. 2016.
"Operator constraints for twist3 functions and Lorentz invariance properties of twist3 observables". United States.
doi:10.1103/PhysRevD.93.054024. https://www.osti.gov/servlets/purl/1246800.
@article{osti_1246800,
title = {Operator constraints for twist3 functions and Lorentz invariance properties of twist3 observables},
author = {Kanazawa, Koichi and Pitonyak, Daniel and Koike, Yuji and Metz, Andreas and Schlegel, Marc},
abstractNote = {We investigate the behavior under Lorentz transformations of perturbative coefficient functions in a collinear twist3 formalism relevant for highenergy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentzinvariant forms in various frames. This somewhat surprising difference can be traced back to a general dependence of the perturbative coefficient functions on light cone vectors which are introduced by the twist3 factorization formulas and which are framedependent. One can remove this spurious frame dependence by invoking socalled Lorentz invariance relations (LIRs) between twist3 parton correlation functions. Some of those relations for twist3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist3 fragmentation functions. We explicitly demonstrate that these LIRs remove the light cone vector dependence by considering transverse spin observables in the singleinclusive production of hadrons in leptonnucleon collisions, ℓN→hX. Furthermore, with the LIRs in hand, we also show that twist3 observables in general can be written solely in terms of threeparton correlation functions.},
doi = {10.1103/PhysRevD.93.054024},
journal = {Physical Review D},
number = 5,
volume = 93,
place = {United States},
year = {2016},
month = {3}
}