Analytical evaluation of certain on-shell two-loop three-point diagrams
نویسندگان
چکیده
منابع مشابه
Negative dimensional approach for scalar two-loop three-point and three-loop two-point integrals
The study of quantum field theories in the perturbative regime can sometimes become a very challenging and arduous issue to deal with, especially when one needs to go on calculating multi-loop Feynman integrals. There are several techniques that have been developed and refined in the course of time, but usually the calculations are rather involved and analytic results are difficult to obtain. D...
متن کاملThree-loop on-shell Feynman integrals with two masses
All three-loop on-shell QCD Feynman integrals with two masses can be reduced to 27 master integrals. Here we calculate these master integrals, expanded in ε, both exactly in the mass ratio and as series in limiting cases.
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چکیده ندارد.
15 صفحه اولGeneral massive one-loop off-shell three-point functions
In this work we compute the most general massive one-loop off-shell three-point vertex in D-dimensions, where the masses, external momenta, and exponents of propagators are arbitrary. This follows our previous paper in which we have calculated several new hypergeometric series representations for massless and massive (with equal masses) scalar one-loop three-point functions, in the negative dim...
متن کاملOn one master integral for three-loop on-shell HQET propagator diagrams with mass
All three-loop on-shell HQET propagator integrals with a loop of a massive quark can be reduced to a set of master integrals, using integration by parts [1]. Some master integrals are known exactly, for other ones a few terms of ε expansions have been calculated [1]. In particular, for the integral I2, the 1/ε and O(1) terms are known. However, in some applications more terms of its ε expansion...
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ژورنال
عنوان ژورنال: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
سال: 2003
ISSN: 0168-9002
DOI: 10.1016/s0168-9002(03)00523-0