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Title: Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables

We investigate the behavior under Lorentz transformations of perturbative coefficient functions in a collinear twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentz-invariant 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 twist-3 factorization formulas and which are frame-dependent. One can remove this spurious frame dependence by invoking so-called Lorentz invariance relations (LIRs) between twist-3 parton correlation functions. Some of those relations for twist-3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist-3 fragmentation functions. We explicitly demonstrate that these LIRs remove the light cone vector dependence by considering transverse spin observables in the single-inclusive production of hadrons in lepton-nucleon collisions, ℓN→hX. Furthermore, with the LIRs in hand, we also show that twist-3 observables in general can be written solely in terms of three-parton correlation functions.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [4]
  1. Temple Univ., Philadelphia, PA (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Niigata Univ., Niigata (Japan)
  4. Univ. of Tubingen, Tubingen (Germany)
Publication Date:
Report Number(s):
BNL-111976-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO-3
Grant/Contract Number:
SC00112704
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 5; Journal ID: ISSN 2470-0010
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) (SC-25)
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 twist-3 functions and Lorentz invariance properties of twist-3 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 twist-3 functions and Lorentz invariance properties of twist-3 observables. United States. doi:10.1103/PhysRevD.93.054024.
Kanazawa, Koichi, Pitonyak, Daniel, Koike, Yuji, Metz, Andreas, and Schlegel, Marc. 2016. "Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 observables". United States. doi:10.1103/PhysRevD.93.054024. https://www.osti.gov/servlets/purl/1246800.
@article{osti_1246800,
title = {Operator constraints for twist-3 functions and Lorentz invariance properties of twist-3 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 twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those perturbative coefficient functions can, a priori, acquire quite different yet Lorentz-invariant 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 twist-3 factorization formulas and which are frame-dependent. One can remove this spurious frame dependence by invoking so-called Lorentz invariance relations (LIRs) between twist-3 parton correlation functions. Some of those relations for twist-3 distribution functions were discussed in the literature before. In this paper we derive the corresponding LIRs for twist-3 fragmentation functions. We explicitly demonstrate that these LIRs remove the light cone vector dependence by considering transverse spin observables in the single-inclusive production of hadrons in lepton-nucleon collisions, ℓN→hX. Furthermore, with the LIRs in hand, we also show that twist-3 observables in general can be written solely in terms of three-parton correlation functions.},
doi = {10.1103/PhysRevD.93.054024},
journal = {Physical Review D},
number = 5,
volume = 93,
place = {United States},
year = {2016},
month = {3}
}