On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x

Abstract

We present the coefficient functions for deep-inelastic scattering (DIS) via the exchange of a scalar phi directly coupling only to gluons, such as the Higgs boson in the limit of a very heavy top quark and n_f effectively massless light flavours, to the third order in perturbative QCD. The two-loop results are employed to construct the next-to-next-to-leading order physical evolution kernels for the system (F_2 F_phi) of flavour-singlet structure functions. The practical relevance of these kernels as an alternative to MSbar factorization is bedevilled by artificial double logarithms at small values of the scaling variable x, where the large top-mass limit ceases to be appropriate. However, they show an only single-logarithmic enhancement at large x. Conjecturing that this feature persists to the next order also in the present singlet case, the three-loop coefficient functions facilitate exact predictions (backed up by their particular colour structure) of the double-logarithmic contributions to the fourth-order singlet splitting functions, i.e., of the terms (1-x)^a ln^k(1-x) with k = 4, 5, 6 and k = 3, 4, 5, respectively, for the off-diagonal and diagonal quantities to all powers a in 1-x.

75 pages, LaTeX, 13 figures (.eps). FORM and Fortran files of main results appended to source

References in corpus (16)

• Uncertainties on alpha_S in global PDF analyses and implications for predicted hadronic cross sections
• Quark and gluon form factors to three loops
• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• On threshold resummation beyond leading 1-x order
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering

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