English

Integrand reduction of one-loop scattering amplitudes through Laurent series expansion

High Energy Physics - Phenomenology 2015-06-04 v3

Abstract

We present a semi-analytic method for the integrand reduction of one-loop amplitudes, based on the systematic application of the Laurent expansions to the integrand-decomposition. In the asymptotic limit, the coefficients of the master integrals are the solutions of a diagonal system of equations, properly corrected by counterterms whose parametric form is konwn a priori. The Laurent expansion of the integrand is implemented through polynomial division. The extension of the integrand-reduction to the case of numerators with rank larger than the number of propagators is discussed as well.

Keywords

Cite

@article{arxiv.1203.0291,
  title  = {Integrand reduction of one-loop scattering amplitudes through Laurent series expansion},
  author = {Pierpaolo Mastrolia and Edoardo Mirabella and Tiziano Peraro},
  journal= {arXiv preprint arXiv:1203.0291},
  year   = {2015}
}

Comments

v2: Published version: references and two appendices added. v3: Eq.(6.11) corrected, Appendix B updated accordingly