Complete $$ {N}_f^2 $$ contributions to four-loop pure-singlet splitting functions

Author:

Gehrmann Thomas,von Manteuffel Andreas,Sotnikov Vasily,Yang Tong-ZhiORCID

Abstract

Abstract The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark splitting functions that involve two closed fermion loops. The splitting functions are extracted from the pole terms of off-shell operator matrix elements, and the workflow for their calculation is outlined. We reproduce known results for the non-singlet four-loop splitting functions and validate our new pure-singlet results against fixed Mellin moments.

Publisher

Springer Science and Business Media LLC

Reference82 articles.

1. G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].

2. V.N. Gribov and L.N. Lipatov, Deep inelastic e p scattering in perturbation theory, Sov. J. Nucl. Phys. 15 (1972) 438 [INSPIRE].

3. Y.L. Dokshitzer, Calculation of the Structure Functions for Deep Inelastic Scattering and e+e− Annihilation by Perturbation Theory in Quantum Chromodynamics, Sov. Phys. JETP 46 (1977) 641 [INSPIRE].

4. D.J. Gross and F. Wilczek, Asymptotically free gauge theories. II, Phys. Rev. D 9 (1974) 980 [INSPIRE].

5. E.G. Floratos, D.A. Ross and C.T. Sachrajda, Higher Order Effects in Asymptotically Free Gauge Theories. II. Flavor Singlet Wilson Operators and Coefficient Functions, Nucl. Phys. B 152 (1979) 493 [INSPIRE].

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