HQET vertex diagram: 
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 expansion

Grozin, Andrey

doi:10.1103/physrevd.102.054022

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Mellin-barnes Representation Asymptotic Expansion Ndim1

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2020

2023

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Cited by 3 publications

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“…For some Feynman diagrams, the hypergeometric representation follows from a direct integration of the parametric representation, see Ref. [43,44,45,46,47,48,49,50,51].…”

Section: Mellin-barnes Representation Asymptotic Expansion Ndimmentioning

confidence: 99%

Hypergeometric Functions and Feynman Diagrams

Kalmykov¹,

Kniehl²,

Moch³

et al. 2020

Preprint

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The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the construction of the -expansion. As an example, we present a detailed discussion of the construction of the -expansion of the Appell function 3 around rational values of parameters via an iterative solution of differential equations. Another interesting example is the Puiseux-type solution involving a differential operator generated by a hypergeometric function of three variables. The holonomic properties of the hypergeometric functions are briefly discussed.

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“…For some Feynman diagrams, the hypergeometric representation follows from a direct integration of the parametric representation, see Ref. [43,44,45,46,47,48,49,50,51].…”

Section: Mellin-barnes Representation Asymptotic Expansion Ndimmentioning

confidence: 99%