Higher order corrections to heavy flavour production in deep inelastic scattering

Abstract

In the asymptotic limit $Q^2\gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start extending the existing NLO calculation for these operator matrix elements by calculating the O($\epsilon$) terms of the two--loop expressions and having first investigations into the three--loop diagrams needed to O(${\alpha }_s^3$).

6 pages

References in corpus (7)

• New features of FORM
• Automatized analytic continuation of Mellin-Barnes integrals
• Group theory factors for Feynman diagrams
• Heavy quark coefficient functions at asymptotic values $Q^2\gg m^2$
• Algebraic Relations Between Harmonic Sums and Associated Quantities
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Cited by in corpus (3)

• Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5
• PQCD Formulations with Heavy Quark Masses and Global Analysis
• Summary of the HERA-LHC workshop