The $O(\alpha_s^3 T_F^2)$ contributions to the gluonic operator matrix element

Ablinger, J.; Schneider, C.; Blümlein, J.; von Manteuffel, Andreas; De Freitas, A.; Hasselhuhn, A.; Round, M.

doi:10.1016/j.nuclphysb.2014.05.028

Report/Journal Article

PUBDB-2015-01068

The $O(\alpha_s^3 T_F^2)$ contributions to the gluonic operator matrix element

Ablinger, J. (Corresponding Author) ; Blümlein, J.DESY* ; De Freitas, A.>Extern* ; Hasselhuhn, A. ; von Manteuffel, A.>Extern* ; Round, M. ; Schneider, C.

2014
North-Holland Publ. Co. Amsterdam

Nuclear physics <Amsterdam> / B 885, 280 - 317 (2014) [10.1016/j.nuclphysb.2014.05.028]

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Please use a persistent id in citations: doi:10.1016/j.nuclphysb.2014.05.028 doi:10.3204/PUBDB-2015-01068

Report No.: DESY-14-018; DO-TH 14/04; Higgstools 14-006; LPN 14-069; MITP/14-019; SFB/CPP-14-24; arXiv:1405.4259

Abstract: The $O(\alpha_s^3 T_F^2 C_F (C_A))$ 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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