Soft correction to inclusive DIS cross-section at four-loops

Apr 9, 2019, 3:00 PM
Rettorato - Aula Magna

Rettorato - Aula Magna

Via Verdi, 8 Turin
Parallel Session Talk WG1: Structure Functions and Parton Densities WG1:Structure Functions and Parton Densities


Dr Goutam Das (DESY)


We study the threshold corrections for inclusive deep-inelastic scattering and resummation to N4LL accuracy. Using the form factor at four loops in the large-nc limit we are able to derive the soft-virtual coefficients at the four loops in large-nc approximation. We have presented the expression for resummation coefficients B4q coefficient for quarks which enters first time in the resummed exponent at this order. We study the effect of N4LL corrections for both resummed (exponentiated) as well as in the expansion of the coefficient function in tower expansion of logarithms. The addition of B4q coeficient stabilises the logarithmic expansion of the coefficient function. The extra logarithm at the fourth order changes the soft-virtual cross-section by less than 1%. However the perturbative convergence is seen to be improved with the addition of higher logarithms as expected.

Primary authors

Andreas Vogt (University of Liverpool) Dr Goutam Das (DESY) Prof. S. Moch (UHH)

Presentation materials