Two-loop self-energy diagrams worked out with NDIM
نویسندگان
چکیده
In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams using NDIM (Negative Dimensional Integration Method). We show that the answer we get is 36-fold degenerate. We then consider special cases of exponents for propagators and the outcoming results compared with known ones obtained via traditional methods. PACS numbers: 02.90+p, 03.70+k, 12.38.Bx Short title: Two-loop self-energy diagrams worked out with NDIM
منابع مشابه
Two-Loop Self-Energy and Multiple Scattering at Finite Temperature
One and two loop self-energies are worked out explicitly for a heavy scalar field interacting weakly with a light self-interacting scalar field at finite temperature. The ring/daisy diagrams and a set of necklace diagrams can be summed simultaneously. This simple model serves to illustrate the connection between multi-loop self-energy diagrams and multiple scattering in a medium. PACS numbers: ...
متن کاملProbing negative dimensional integration: two-loop covariant vertex and one-loop light-cone integrals
Negative dimensional integration method (NDIM) seems to be a very promising technique for evaluating massless and/or massive Feynman diagrams. It is unique in the sense that the method gives solutions in different regions of external momenta simultaneously. Moreover, it is a technique whereby the difficulties associated with performing parametric integrals in the standard approach are transferr...
متن کامل/ 00 08 14 3 v 1 1 7 A ug 2 00 0 Loop integrals in three outstanding gauges : Feynman , Light - cone and Coulomb
We apply negative dimensional integration method (NDIM) to three outstanding gauges: Feynman, light-cone and Coulomb gauges. Our aim is to show that NDIM is a very suitable technique to deal with loop integrals, being them originated from any gauge choice. In Feynman gauge we perform scalar two-loop four-point massless integrals; in the light-cone gauge we calculate scalar two-loop integrals co...
متن کاملNegative 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 کاملTowards Automatic Analytic Evaluation of Massive Feynman Diagrams
A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon 1 2 (g − 2) µ. Presently we confine ourselves to a " toy " model with only µ, γ and a scalar particle (Higgs). The algorithm is implemented as a package of computer progra...
متن کامل