Massive Feynman diagrams and inverse binomial sums

Details Massive Feynman diagrams and inverse binomial sums Massive Feynman diagrams and inverse binomial sums

2003-03-18

arxiv.org/abs/hep-th/0303162v4

Nucl.Phys.B699:3-64,2004

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, LaTeX, 2 eps figures; v4: some typos corrected; notations in Eqs.(C.7),(D.9), (E.3) improved

Scientific paper

10.1016/j.nuclphysb.2004.08.020

When calculating higher terms of the epsilon-expansion of massive Feynman diagrams, one needs to evaluate particular cases of multiple inverse binomial sums. These sums are related to the derivatives of certain hypergeometric functions with respect to their parameters. Exploring this connection and using it together with an approach based on generating functions, we analytically calculate a number of such infinite sums, for an arbitrary value of the argument which corresponds to an arbitrary value of the off-shell external momentum. In such a way, we find a number of new results for physically important Feynman diagrams. Considered examples include two-loop two- and three-point diagrams, as well as three-loop vacuum diagrams with two different masses. The results are presented in terms of generalized polylogarithmic functions. As a physical example, higher-order terms of the epsilon-expansion of the polarization function of the neutral gauge bosons are constructed.

Affiliated with

Also associated with

No associations

Rating

Massive Feynman diagrams and inverse binomial sums 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 Massive Feynman diagrams and inverse binomial sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Massive Feynman diagrams and inverse binomial sums will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17560