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The three-loop polarized pure singlet operator matrix element with two different masses

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arxiv 1911.11630 v1 pith:DMPQVOWZ submitted 2019-11-25 hep-ph hep-th

The three-loop polarized pure singlet operator matrix element with two different masses

classification hep-ph hep-th
keywords polarizedelementmatrixoperatorintegralsorderpuresinglet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in $x$-space. These terms are relevant for calculating the polarized structure function $g_1(x,Q^2)$ at $O(\alpha_s^3)$ as well as for the matching relations in the variable flavor number scheme and the polarized heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals. These integrals depend on the mass ratio through the main argument, and the alphabet includes square--root valued letters.

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Cited by 3 Pith papers

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