TY  - CONF
AU  - Ablinger, J.
AU  - Blümlein, J.
AU  - De Freitas, A.
AU  - Hasselhuhn, A.
AU  - von Manteuffel, A.
AU  - Round, M.
AU  - Schneider, C.
AU  - Wißbrock, F.
TI  - 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines
IS  - DESY-14--121
M1  - PUBDB-2014-04265
M1  - DESY-14--121
M1  - DO-TH 14/12
M1  - MITP/14-047
M1  - SFB/CPP-14-36
M1  - LPN14-085
SP  - 10
PY  - 2014
N1  - OA
AB  - We consider gluonic contributions to the heavy flavor Wilson coefficients at 3-loop order in QCD with two heavy quark lines in the asymptotic region Q<sup>2</sup>  >> m<sub>1(2)</sub><sup>2</sup>. Here we report on the complete result in the case of two equal masses m<sub>1</sub> = m<sub>2</sub> for the massive operator matrix element A<sub>gg,Q</sub><sup>(3)</sup>, which contributes to the corresponding heavy flavor transition matrix element in the variable flavor number scheme. Nested finite binomial sums and iterated integrals over square-root valued alphabets emerge in the result for this quantity in N and x-space, respectively. We also present results for the case of two unequal masses for the flavor non-singlet OMEs and on the scalar integrals ic case of A<sub>gg,Q</sub><sup>(3)</sup>, which were calculated without a further approximation. The graphs can be expressed by finite nested binomial sums over generalized harmonic sums, the alphabet of which contains rational letters in the ratio η =  m<sub>1</sub><sup>2</sup>/m<sub>2</sub><sup>2</sup>.
T2  - 12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory
CY  - 27 Apr 2014 - 2 May 2014, Weimar (Germany)
Y2  - 27 Apr 2014 - 2 May 2014
M2  - Weimar, Germany
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)8
UR  - https://bib-pubdb1.desy.de/record/192726
ER  -