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Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering
journal contribution
posted on 2023-06-10, 05:26 authored by Joshua Davies, C-H Kom, S Moch, A VogtWe present a comprehensive study of high-energy double logarithms in inclusive DIS. They appear parametrically as ans 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 ans 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.
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Journal of High Energy PhysicsISSN
1126-6708Publisher
SpringerExternal DOI
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2022Page range
135Department affiliated with
- Physics and Astronomy Publications
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- Yes
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- Yes
Legacy Posted Date
2022-11-11First Open Access (FOA) Date
2022-11-11First Compliant Deposit (FCD) Date
2022-11-10Usage metrics
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