General-mass treatment for deep inelastic scattering at two-loop accuracy

Details General-mass treatment for deep inelastic scattering at two-loop accuracy General-mass treatment for deep inelastic scattering at two-loop accuracy

2011-08-25

arxiv.org/abs/1108.5112v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 8 figures; minor changes, references added

Scientific paper

We present a next-to-next-to-leading order (NNLO) realization of a general quark mass scheme (S-ACOT-$\chi$) in deep inelastic scattering and explore the impact of NNLO terms on heavy-quark structure functions $F_{2,L}^{c}(x,Q)$. An amended QCD factorization theorem for DIS is discussed that validates the S-ACOT-$\chi$ scheme to all orders in the QCD coupling strength. As a new feature, kinematical constraints on collinear production of heavy quarks that are crucial near the heavy-quark threshold are included in the amended factorization theorem. An algorithmic procedure is outlined for implementing this scheme at NNLO by using mass-dependent and massless results from literature. At NNLO, the S-ACOT-$\chi$ scheme reduces scale dependence of heavy-quark DIS cross sections as compared to the fixed-flavor number scheme.

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