The massive 3loop operator matrix elements with two masses and the generalized variable flavor number scheme
Abstract
We report on our latest results in the calculation of the twomass contributions to 3loop operator matrix elements (OMEs). These OMEs are needed to compute the corresponding contributions to the deepinealstic scattering structure functions and to generalize the variable flavor number scheme by including both charm and bottom quarks. We present the results for the nonsinglet and $A_{gq,Q}$ OMEs, and compare the size of their contribution relative to the single mass case. Results for the gluonic OME $A_{gg,Q}$ are given in the physical case, going beyond those presented in a previous publication where scalar diagrams were computed. We also discuss our recently published twomass contribution to the pure singlet OME, and present an alternative method of calculating the corresponding diagrams.
 Publication:

arXiv eprints
 Pub Date:
 December 2017
 arXiv:
 arXiv:1712.00745
 Bibcode:
 2017arXiv171200745A
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Experiment
 EPrint:
 20 pages Latex, 5 Figures, different style files