2-Loop Integrals in The Standard Model
نویسنده
چکیده
We introduce in typical examples new methods for the calculation of massive loop integrals appearing in the radiative correction calculations of the Standard Model.
منابع مشابه
Numerical contour integration for loop integrals
A fully numerical method to calculate loop integrals, a numerical contour-integration method, is proposed. Loop integrals can be interpreted as a contour integral in a complex plane for an integrand with multi-poles in the plane. Stable and efficient numerical integrations an along appropriate contour can be performed for tensor integrals as well as for scalar ones appearing in loop calculation...
متن کاملar X iv : h ep - p h / 93 10 35 8 v 1 2 7 O ct 1 99 3 Reduction of general two - loop self - energies to standard scalar integrals
A method is presented for reducing general two-loop self-energies to standard scalar integrals in massive gauge theories with special emphasis on the electroweak Standard Model (SM). We develop a technique for treating the tensor structure of two-loop integrals appearing in self-energy calculations. It is used together with the symmetry properties of the integrals to obtain a result in terms of...
متن کاملTensor Integrals for Two Loop Standard Model Calculations
We give a new method for the reduction of tensor integrals to finite integral representations and UV divergent analytic expressions. This includes a new method for the handling of the γ-algebra. In calculating two loop corrections to the Standard Model one is confronted with two main problems. One is the analytical difficulty of integrals involving different masses. Often one is restricted to a...
متن کاملMaster integrals with one massive propagator for the two - loop electroweak form factor
We compute the master integrals containing one massive propagator entering the two-loop electroweak form factor, i.e. the process f ¯ f → X, where f ¯ f is an on-shell massless fermion pair and X is a singlet particle under SU (2) L × U (1) Y , such as a virtual gluon or an hypothetical Z ′. The method used is that of the differential equation in the evolution variable x = −s/m 2 , where s is t...
متن کامل/ 98 07 44 0 v 2 2 6 Ju l 1 99 8 Compact analytical form for a class of three - loop vacuum Feynman diagrams
We present compact, fully analytical expressions for singular parts of a class of three-loop diagrams which cannot be factorized into lower-loop integrals. As a result of the calculations we obtain the analytical expression for the three-loop effective potential of the massive O(N) ϕ 4 model presented recently Though Quantum Field Theory already has a long history and a number of different appr...
متن کامل