Soft corrections to inclusive DIS at four loops and beyond

Goutam Das; Sven-Olaf Moch; Andreas Vogt

Soft corrections to inclusive DIS at four loops and beyond

High Energy Physics - Phenomenology 2019-08-09 v1

Authors: Goutam Das , Sven-Olaf Moch , Andreas Vogt

Abstract

We study the threshold corrections to the structure functions in deep-inelastic scattering (DIS) at the fifth logarithmic (N $^4$ LL) order of the soft-gluon exponentiation in massless perturbative QCD. Using recent results for the splitting functions and the quark form factor, we derive the fourth-order contribution to the coefficient $f^{\rm q}$ of the form factor and from it the N $^4$ LL part of the exponentiation coefficient $B^{\rm DIS}$ in the limit of a large number of colours. An approximation scheme is shown that leads to sufficiently accurate N $^4$ LL results for full QCD. The N $^4$ LL corrections are small and lead to a further stabilization of the perturbative expansion for the soft-gluon exponent.

Keywords

deep-inelastic scattering soft-collinear effective theory next-to-leading order qcd

Cite

@article{arxiv.1908.03071,
  title  = {Soft corrections to inclusive DIS at four loops and beyond},
  author = {Goutam Das and Sven-Olaf Moch and Andreas Vogt},
  journal= {arXiv preprint arXiv:1908.03071},
  year   = {2019}
}

Comments

6 pages, LaTeX (PoS style), 4 figures, Contribution to the proceedings of `DIS2019', Torino (Italy), April 2019

Soft corrections to inclusive DIS at four loops and beyond

Abstract

Keywords

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