Conformal BK equation at QCD Wilson-Fisher point

Balitsky, I.; Chirilli, G. A.

doi:10.1007/jhep10(2024)015

Title: Conformal BK equation at QCD Wilson-Fisher point

Journal Article · 01 October 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2024)015 · OSTI ID:2472928

^[1]; Chirilli, G. A. ^[2]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
University of Salento, Lecce (Italy); National Institute of Nuclear Physics (INFN), Lecce (Italy)

High-energy scattering in pQCD in the Regge limit is described by the evolution of Wilson lines governed by the BK equation. In the leading order, the BK equation is conformally invariant and the eigenfunctions of the linearized BFKL equation are powers. It is a common belief that at d ≠ 4 the BFKL equation is useless since unlike d = 4 case it cannot be solved by usual methods. However, we demonstrate that at critical Wilson-Fisher point of QCD the relevant part of NLO BK restores the conformal invariance so the solutions are again powers. As a check of our approach to high-energy amplitudes at the Wilson-Fisher point, we calculate the anomalous dimensions of twist-2 light-ray operators in the Regge limit j → 1.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028

OSTI ID:: 2472928

Report Number(s):: DOE/OR/23177-7547; JLAB-THY--24-4106

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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