Speaker
Arnd Behring
(DESY, Zeuthen)
Description
Deep-inelastic $ep$ scattering receives essential contributions from heavy
flavors. The determination of the strong coupling constant $\alpha_s$ and the
charm quark mass $m_c$ are sensitive to NNLO corrections. In the asymptotic
region where the momentum transfer $Q^2$ is large compared to the mass of the
heavy quark $m^2$ the heavy flavor contributions factorize into massless
Wilson coefficients and massive operator matrix elements (OMEs). For $F_2$ the
formulae hold from $Q^2/m^2 > 10$ onward. We present results of the
calculation of the non-singlet and pure-singlet heavy flavor Wilson
coefficients and the corresponding OMEs to three loop order. Details on the
calculation will be given as well as numerical predictions for the
contribution in the non-singlet and pure singlet case to the structure
function $F_2$, which are relevant for experiments.
Primary author
Arnd Behring
(DESY, Zeuthen)
Co-authors
Abilio de Freitas
(DESY, Zeuthen)
Andreas von Manteuffel
(Johannes Gutenberg Universitaet, Mainz)
Carsten Schneider
(RISC, Johannes Kepler Universitaet, Linz)
Jakob Ablinger
(RISC, Johannes Kepler Universitaet, Linz)
Johannes Bluemlein
(DESY, Zeuthen)