Back-to-back inclusive dijets in DIS at small x: gluon Weizsäcker-Williams distribution at NLO

Caucal, Paul; Salazar, Farid; Schenke, Björn; Stebel, Tomasz; Venugopalan, Raju

doi:10.1007/jhep08(2023)062

Title: Back-to-back inclusive dijets in DIS at small x: gluon Weizsäcker-Williams distribution at NLO

Journal Article · Mon Aug 14 00:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2023)062· OSTI ID:1999166

^[1];

^[2];

^[3];

^[4]; Venugopalan, Raju ^[3]

Université de Nantes (France)
University of California, Los Angeles, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); University of California, Berkeley, CA (United States)
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Jagiellonian University, Krakow (Poland)

Abstract In [1], we performed the first complete computation of the back-to-back inclusive dijet cross-section in Deeply Inelastic Scattering (DIS) at small xBj to next-to-leading order (NLO) in the Color Glass Condensate effective field theory (CGC EFT). We demonstrate here that for dijets with relative transverse momentum P⊥ and transverse momentum imbalance q⊥, to leading power in q⊥/P⊥, the cross-section for longitudinally polarized photons can be fully factorized into the product of a perturbative impact factor and the non-perturbative Weizsäcker-Williams (WW) transverse momentum dependent (TMD) gluon distribution to NLO accuracy. The impact factor can further be expressed as the product of a universal soft factor which resums Sudakov double and single logs in P⊥/q⊥ and a coefficient function given by a remarkably compact analytic expression. We show that in the CGC EFT the WW TMD satisfies a kinematically constrained JIMWLK renormalization group evolution in rapidity. This factorization formula is valid to all orders in Qs/q⊥ for q⊥, Qs ≪ P⊥, where Qs is the semi-hard saturation scale that grows with rapidity.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012704; PHY-1945471; AC02-05CH11231

OSTI ID:: 1999166

Alternate ID(s):: OSTI ID: 2006630

Report Number(s):: BNL-224765-2023-JAAM; TRN: US2405435

Journal Information:: Journal of High Energy Physics (Online), Vol. 2023, Issue 8; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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