4 papers
The variable flavor number scheme to three-loop order
J. Ablinger, A. Behring, J. Blümlein +4
We describe the variable flavor number scheme to three-loop order, which modifies the massless parton densities by single- and two-mass effects and introduces heavy-quark parton di…
The four-loop non-singlet splitting functions in QCD
Thomas Gehrmann, Andreas von Manteuffel, Vasily Sotnikov +1
The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark…
The complete three-loop unpolarized and polarized massive operator matrix elements and asymptotic Wilson coefficients
J. Ablinger, A. Behring, J. Blümlein +4
We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coef…
The three-loop single-mass heavy-flavor corrections to the structure functions and
J. Ablinger, A. Behring, J. Blümlein +4
We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities up to three-loop order to the unpolarized structure function…