Three-loop vertex integrals at symmetric point

Journal of High Energy Physics

Andrey Pikelner¹ 

[1] Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research;

关键词: Lattice QCD;    Renormalization Group;   

DOI  :  10.1007/JHEP06(2021)083

来源: DOAJ

【 摘 要 】

Abstract This paper provides details of the massless three-loop three-point integrals calculation at the symmetric point. Our work aimed to extend known two-loop results for such integrals to the three-loop level. Obtained results can find their application in regularization-invariant symmetric point momentum-subtraction (RI/SMOM) scheme QCD calculations of renormalization group functions and various composite operator matrix elements. To calculate integrals, we solve differential equations for auxiliary integrals by transforming the system to the ε-form. Calculated integrals are expressed through the basis of functions with uniform transcendental weight. We provide expansion up to the transcendental weight six for the basis functions in terms of harmonic polylogarithms with six-root of unity argument.

【 授权许可】

Unknown