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000207071 1001_ $$0P:(DE-HGF)0$$aAblinger, J.$$b0$$eCorresponding Author
000207071 245__ $$aThe $O(\alpha_s^3 T_F^2)$ contributions to the gluonic operator matrix element
000207071 260__ $$aAmsterdam$$bNorth-Holland Publ. Co.$$c2014
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000207071 520__ $$aThe $O(\alpha_s^3 T_F^2 C_F (C_A))$ contributions to the transition matrix element $A_{gg,Q}$ relevant for the variable flavor number scheme at 3--loop order are calculated. The corresponding graphs contain two massive fermion lines of equal mass leading to terms given by inverse binomially weighted sums beyond the usual harmonic sums. In $x$-space two root-valued letters contribute in the iterated integrals in addition to those forming the harmonic polylogarithms. We outline technical details needed in the calculation of graphs of this type, which are as well of importance in the case of two different internal massive lines.
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000207071 536__ $$0G:(EU-Grant)316704$$aHIGGSTOOLS - The Higgs quest - exploring electroweak symmetry breaking at the LHC (316704)$$c316704$$fFP7-PEOPLE-2012-ITN$$x2
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000207071 7001_ $$0P:(DE-H253)PIP1003764$$aBlümlein, J.$$b1
000207071 7001_ $$0P:(DE-H253)PIP1007138$$aDe Freitas, A.$$b2
000207071 7001_ $$0P:(DE-HGF)0$$aHasselhuhn, A.$$b3
000207071 7001_ $$0P:(DE-H253)PIP1019150$$avon Manteuffel, Andreas$$b4
000207071 7001_ $$0P:(DE-HGF)0$$aRound, M.$$b5
000207071 7001_ $$0P:(DE-HGF)0$$aSchneider, C.$$b6
000207071 773__ $$0PERI:(DE-600)1466567-0$$a10.1016/j.nuclphysb.2014.05.028$$p280 - 317$$tNuclear physics <Amsterdam> / B$$v885$$x0550-3213$$y2014
000207071 7870_ $$0DESY-2014-03024$$aAblinger, J. et.al.$$dAmsterdam : North-Holland Publ. Co., 2014$$iIsParent$$rDESY-14-018; DO-TH 14/04; MITP/14-019; SFB/CPP-14-24; LPN 14-069; Higgstools 14-006; arXiv:1405.4259$$tThe $O(\alpha_s^3 T_F^2)$ contributions to the gluonic operator matrix element
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