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Calculation of the Massive Operator Matrix Elements up to \(O(a_s^2\varepsilon)\)

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Charm Production in Deep Inelastic Scattering

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Abstract

The quarkonic 2-loop massive

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Notes

  1. 1.

    f(k) is hypergeometric in k iff \(f(k+1)/f(k)\,{=}\,g(k)\) for some fixed rational function g(k).

  2. 2.

    Cf. Ref. [1] for the labeling of the diagrams.

  3. 3.

    The associated Mellin transform to this sum has been discussed in Ref. [68] first.

  4. 4.

    Note that the argument of the Mellin-transform in Eq. 6.36, Ref. [35], should read \((N+1).\)

  5. 5.

    In Table 2 of Ref. [12], the moments \(N\,{=}\,2\) and \(N\,{=}\,6\) for the more difficult 2-loop diagrams are presented.

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    Sebastian Klein

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Klein, S. (2012). Calculation of the Massive Operator Matrix Elements up to \(O(a_s^2\varepsilon)\) . In: Charm Production in Deep Inelastic Scattering. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23286-2_6

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