[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Mon., Aug. 22, 2016
1:00 p.m. (coffee at 12:45 p.m.)
CEBAF Center, Room L102

*Three-Loop QCD Corrections from Massive Quarks to Deep Inelastic Structure Functions*

Arnd Behring
DESY, Germany

The structure functions of deep-inelastic scattering receive, among 
others, contributions from massive
quarks like the charm and bottom quarks. In the limit where the 
virtuality Q^2 is much larger than the
heavy quark mass m^2 the heavy flavor Wilson coefficients have been 
shown to factorize into massless
Wilson coefficients and massive operator matrix elements. This 
factorization allows for an analytic
calculation of the 3-loop QCD corrections by calculating the 3-loop 
massive operator matrix elements.
We report on recent progress in this endeavor and present some 
applications of the results obtained
so far to the structure functions F_2, g_1 and xF_3, as well as to the 
Gross-Llewellyn-Smith and the
polarized Bjorken sum rules. Finally, we also touch upon applications of 
our results to anomalous
dimensions and the variable flavor number for parton distributions.
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