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

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 14 August 2023
  • Volume 2023, article number 62, (2023)
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Journal of High Energy Physics Aims and scope Submit manuscript
Back-to-back inclusive dijets in DIS at small x: gluon Weizsäcker-Williams distribution at NLO
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  • Paul Caucal  ORCID: orcid.org/0000-0002-9033-14731,
  • Farid Salazar  ORCID: orcid.org/0000-0002-4007-61362,3,4,5,
  • Björn Schenke  ORCID: orcid.org/0000-0001-7908-13226,
  • Tomasz Stebel  ORCID: orcid.org/0000-0002-0696-87397 &
  • …
  • Raju Venugopalan6 

  • 274 Accesses

  • 22 Citations

  • 7 Altmetric

  • 1 Mention

  • Explore all metrics

A preprint version of the article is available at arXiv.

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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Acknowledgments

We are grateful to Zhongbo Kang, Feng Yuan and Jian Zhou for valuable discussions. F.S. is supported by the National Science Foundation under grant No. PHY-1945471, and partially supported by the UC Southern California Hub, with funding from the UC National Laboratories division of the University of California Office of the President. T.S. kindly acknowledges support of the Polish National Science Center (NCN) Grants No. 2019/32/C/ST2/00202 and 2021/43/D/ST2/03375. B.P.S. and R.V. are supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under DOE Contract No. DE-SC0012704 and within the framework of the Saturated Glue (SURGE) Topical Theory Collaboration.R.V.’s work is also supported in part by an LDRD grant from Brookhaven Science Associates.

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Authors and Affiliations

  1. SUBATECH UMR 6457 (IMT Atlantique, Université de Nantes, IN2P3/CNRS), 4 rue Alfred Kastler, 44307, Nantes, France

    Paul Caucal

  2. Department of Physics and Astronomy, University of California, Los Angeles, CA, 90095, USA

    Farid Salazar

  3. Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles, CA, 90095, USA

    Farid Salazar

  4. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    Farid Salazar

  5. Physics Department, University of California, Berkeley, CA, 94720, USA

    Farid Salazar

  6. Physics Department, Brookhaven National Laboratory, Upton, NY, 11973, USA

    Björn Schenke & Raju Venugopalan

  7. Institute of Theoretical Physics, Jagiellonian University, ul. Lojasiewicza 11, 30-348, Kraków, Poland

    Tomasz Stebel

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Caucal, P., Salazar, F., Schenke, B. et al. Back-to-back inclusive dijets in DIS at small x: gluon Weizsäcker-Williams distribution at NLO. J. High Energ. Phys. 2023, 62 (2023). https://doi.org/10.1007/JHEP08(2023)062

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  • Received: 10 May 2023

  • Accepted: 24 July 2023

  • Published: 14 August 2023

  • DOI: https://doi.org/10.1007/JHEP08(2023)062

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Keywords

  • Deep Inelastic Scattering or Small-x Physics
  • Factorization
  • Renormalization Group
  • Higher-Order Perturbative Calculations
  • Resummation
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