Factorization for azimuthal asymmetries in SIDIS at next-to-leading power

Ebert, Markus A.; Gao, Anjie; Stewart, Iain W.

doi:10.1007/jhep06(2022)007

Title: Factorization for azimuthal asymmetries in SIDIS at next-to-leading power

Journal Article · Fri Jun 03 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep06(2022)007· OSTI ID:1909689

Ebert, Markus A. ^[1];

^[2]; Stewart, Iain W. ^[2]

Max-Planck-Inst. für Physik, Munchen (Germany); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal asymmetries that start at subleading power, and which give access to novel transverse momentum dependent distributions (TMDs). Theoretical predictions for these distributions are currently based on the parton model rather than a rigorous factorization based analysis. Working under the assumption that leading power Glauber interactions do not spoil factorization at this order, we use the Soft Collinear Effective Theory to derive a complete factorization formula for power suppressed hard scattering effects in SIDIS. This yields generalized definitions of the TMDs that depend on two longitudinal momentum fractions (one of them only relevant beyond tree level), and a complete proof that only the same leading power soft function appears and can be absorbed into the TMD distributions at this order. We also show that perturbative corrections can be accounted for with only one new hard coefficient. Factorization formulae are given for all spin dependent structure functions which start at next-to-leading power. Prospects for improved subleading power predictions that include resummation are discussed.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation

Grant/Contract Number:: SC0011090; 327942

OSTI ID:: 1909689

Journal Information:: Journal of High Energy Physics (Online), Vol. 2022, Issue 6; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Subleading power factorization with radiative functions Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)153	journal	November 2019
New observables in longitudinal single-spin asymmetries in semi-inclusive DIS Bacchetta, Alessandro; Mulders, P. J.; Pijlman, Fetze Physics Letters B, Vol. 595, Issue 1-4 https://doi.org/10.1016/j.physletb.2004.06.052	journal	August 2004
Violation of the Kluberg-Stern-Zuber theorem in SCET Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)101	journal	September 2019
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
Time-reversal odd distribution functions in leptoproduction Boer, D.; Mulders, P. J. Physical Review D, Vol. 57, Issue 9 https://doi.org/10.1103/PhysRevD.57.5780	journal	May 1998
Next-to-leading-logarithmic power corrections for $N$ -jettiness subtraction in color-singlet production Boughezal, Radja; Isgrò, Andrea; Petriello, Frank Physical Review D, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevD.97.076006	journal	April 2018
Soft-collinear effective theory, light-cone gauge, and the $T$ -Wilson lines García-Echevarría, Miguel; Idilbi, Ahmad; Scimemi, Ignazio Physical Review D, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevD.84.011502	journal	July 2011
QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng Physics Letters B, Vol. 597, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.07.026	journal	September 2004
A factorization approach to next-to-leading-power threshold logarithms Bonocore, D.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/jhep06(2015)008	journal	June 2015
Subleading power corrections for $N$ -jettiness subtractions Moult, Ian; Rothen, Lorena; Stewart, Iain W. Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074023	journal	April 2017
Factorization for one-loop corrections in the Drell-Yan process Collins, John C.; Soper, Davison E.; Sterman, George Nuclear Physics B, Vol. 223, Issue 2 https://doi.org/10.1016/0550-3213(83)90062-7	journal	August 1983
Factorization for power corrections to and Lee, Keith S. M.; Stewart, Iain W. Nuclear Physics B, Vol. 721, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2005.05.004	journal	August 2005
Non-abelian eikonal exponentiation Frenkel, J.; Taylor, J. C. Nuclear Physics B, Vol. 246, Issue 2 https://doi.org/10.1016/0550-3213(84)90294-3	journal	November 1984
$N$ -jettiness subtractions for $g g \to H$ at subleading power Moult, Ian; Rothen, Lorena; Stewart, Iain W. Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014013	journal	January 2018
Power-enhanced leading-logarithmic QED corrections to Bq→ μ+μ− Beneke, Martin; Bobeth, Christoph; Szafron, Robert Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)232	journal	October 2019
Power corrections in the N -jettiness subtraction scheme Boughezal, Radja; Liu, Xiaohui; Petriello, Frank Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)160	journal	March 2017
Factorization and end point singularities in heavy-to-light decays Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 67, Issue 7 https://doi.org/10.1103/PhysRevD.67.071502	journal	April 2003
Renormalization of subleading dijet operators in soft-collinear effective theory Freedman, Simon M.; Goerke, Raymond Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.114010	journal	December 2014
Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions Del Duca, V.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)057	journal	November 2017
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002
A subleading power operator basis for the scalar quark current Chang, Cyuan-Han; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)041	journal	April 2018
Factorization of power corrections in the Drell-Yan process in EFT Inglis-Whalen, Matthew; Luke, Michael; Roy, Jyotirmoy Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.076018	journal	October 2021

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