The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity

DOI10.1016/J.NUCLPHYSB.2010.10.021zbMATH Open1207.81160arXiv1008.3347OpenAlexW2122457731WikidataQ43204574 ScholiaQ43204574MaRDI QIDQ632077

Author name not available (Why is that?)

Publication date: 14 March 2011

Published in: (Search for Journal in Brave)

Abstract: The contributions

p r o p t o n_{f}

to the

O (a l p h a_{s}^{3})

massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit

Q^{2} g g m^{2}

are computed for the structure function

F_{2} (x, Q^{2})

and transversity for general values of the Mellin variable

N

. Here, for two matrix elements,

A_{q q, Q}^{s f P S} (N)

and

A_{q g, Q} (N)

, the complete result is obtained. A first independent computation of the contributions to the 3--loop anomalous dimensions

g a m m a_{q g} (N)

,

g a m m a_{q q}^{s f P S} (N

and

g a m m a_{q q}^{s f N S, (T R)} (N)

is given. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occur, while the final results can be expressed by nested harmonic sums only.

Full work available at URL: https://arxiv.org/abs/1008.3347

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