Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering

Davies, J, Kom, C-H, Moch, S and Vogt, A (2022) Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering. Journal of High Energy Physics, 2022. p. 135. ISSN 1126-6708

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We present a comprehensive study of high-energy double logarithms in inclusive DIS. They appear parametrically as αns ln2n−k x at the n-th order in perturbation theory in the splitting functions for the parton evolution and the coefficient functions for the hard scattering process, and represent the leading corrections at small x in the flavour non-singlet case. We perform their resummation, in terms of modified Bessel functions, to all orders in full QCD up to NNLL accuracy, and partly to N3LL and beyond in the large-nc limit, and provide fixed-order expansions up to five loops. In the flavour-singlet sector, where these double logarithms are sub-dominant at small x compared to single-logarithmic αns x−1 lnn−k x BFKL contributions, we construct fixed-order expansions up to five loops at NNLL accuracy in full QCD. The results elucidate the analytic small-x structure underlying inclusive DIS results in fixed-order perturbation theory and provide important information for present and future numerical and analytic calculations of these quantities.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 11 Nov 2022 14:28
Last Modified: 11 Nov 2022 14:30

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