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We continue the study of the construction of analytical coefficients of the epsilon-expansion of hypergeometric functions and their connection with Feynman diagrams.
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D.I. Kazakov, A.V. Kotikov, “Total α s \alpha_{s} correction to deep inelastic scattering cross-section ratio, R = sigma-L / sigma-t in QCD. Calculation of longitudinal structure function,” Nucl. Phys. B307
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J. Fleischer, M.Yu. Kalmykov, A.V. Kotikov, “Two-loop self-energy master integrals on shell,” Phys. Lett. B462
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S. Laporta, “High-precision calculation of multi-loop Feynman integrals by difference equations,” Int. J. Mod. Phys. A15
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M.Yu. Kalmykov, O. Veretin, “Single-scale diagrams and multiple binomial sums,” Phys. Lett. B483
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E. Remiddi, J.A.M. Vermaseren, “Harmonic polylogarithms”, Int. J. Mod. Phys. A15
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A.I. Davydychev, “Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams,” Phys. Rev. D61
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A.I. Davydychev, M.Yu. Kalmykov, “Some Remarks On The Epsilon-Expansion Of Dimensionally Regulated Feynman Diagrams,” Nucl. Phys. Proc. Suppl. 89
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2004
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M.Yu. Kalmykov, “Series and epsilon-expansion of the hypergeometric functions,” Nucl. Phys. B. (Proc. Suppl.) 135
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D.M. Bradley, “A class of series acceleration formulae for Catalan’s constant”, Ramanujan J. 3
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V.V. Zudilin, “Very well-poised hypergeometric series and multiple integrals” Russian Math. Surveys 57
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M.Yu. Kalmykov, A. Sheplyakov, “lsjk: A C++ library for arbitrary-precision numeric evaluation of the generalized log-sine functions,” Comput. Phys. Commun. 172
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A.I. Davydychev, M.Yu. Kalmykov, “Geometrical approach to loop calculations and the epsilon-expansion of Feynman diagrams,” [arXiv:hep-th/0203212]; M.Yu. Kalmykov, “About higher order epsilon-expansion of some massive two- and three-loop master-integrals,” Nucl. Phys. B718
2005
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J. Vollinga and S. Weinzierl, “Numerical evaluation of multiple polylogarithms,” Comput. Phys. Commun. 167
2005
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C. Anastasiou, A. Daleo, “Numerical evaluation of loop integrals,” JHEP 0610
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M.Yu. Kalmykov, “Gauss hypergeometric function: Reduction, epsilon-expansion for integer / half-integer parameters and Feynman diagrams,” J. High Energy Phys. (4): (2006) 056 [arXiv:hep-th/0602028]
2006
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B. Jantzen, V. A. Smirnov, “The two-loop vector form factor in the Sudakov limit,” Eur. Phys. J. C 47
2006
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M.Yu. Kalmykov, B.F.L. Ward, S. Yost, “All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters,” J. High Energy Phys. (2): (2007) 040 [arXiv:hep-th/0612240]
2007
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I. Bierenbaum, J. Blumlein, S. Klein, “Two-loop massive operator matrix elements and unpolarized heavy flavor production at asymptotic values Q 2 >> m 2 Q^{2}>>m^{2} ,” Nucl. Phys. B780
2007
Closest in time.