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The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3)

High Energy Physics - Phenomenology 2015-06-18 v1
Authors: J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wissbrock
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Abstract

We calculate the massive operator matrix element Agq(3)(N)A_{gq}^{(3)}(N) to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable NN. This is the first complete transition function needed in the variable flavor number scheme obtained at O(αs3)O(\alpha_s^3). A first independent recalculation is performed for the contributions ∝NF\propto N_F of the 3-loop anomalous dimension γgq(2)(N)\gamma_{gq}^{(2)}(N).

Keywords

variable flavor number scheme operator matrix element quantum chromodynamics Mellin variable anomalous dimension transition function

Cite

@article{arxiv.1402.0359,
  title  = {The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(\alpha_s^3)},
  author = {J. Ablinger and J. Blümlein and A. De Freitas and A. Hasselhuhn and A. von Manteuffel and M. Round and C. Schneider and F. Wissbrock},
  journal= {arXiv preprint arXiv:1402.0359},
  year   = {2015}
}

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25 pages Latex, 2 style files

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