Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-08
Phys.Rev. D68 (2003) 075002
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, uses revtex4 and axodraw.sty
Scientific paper
10.1103/PhysRevD.68.075002
I study the Feynman integrals needed to compute two-loop self-energy functions for general masses and external momenta. A convenient basis for these functions consists of the four integrals obtained at the end of Tarasov's recurrence relation algorithm. The basis functions are modified here to include one-loop and two-loop counterterms to render them finite; this simplifies the presentation of results in practical applications. I find the derivatives of these basis functions with respect to all squared-mass arguments, the renormalization scale, and the external momentum invariant, and express the results algebraically in terms of the basis. This allows all necessary two-loop self-energy integrals to be efficiently computed numerically using the differential equation in the external momentum invariant. I also use the differential equations method to derive analytic forms for various special cases, including a four-propagator integral with three distinct non-zero masses.
No associations
LandOfFree
Evaluation of two-loop self-energy basis integrals using differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Evaluation of two-loop self-energy basis integrals using differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evaluation of two-loop self-energy basis integrals using differential equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-10458