English

Nonrelativistic effective field theory of unstable top

High Energy Physics - Phenomenology 2012-11-28 v1

Abstract

We develop a new nonrelativistic effective field theory of ρ\rhoNRQCD [1] to describe the finite lifetime effects in the threshold production of top quark-antiquark pairs. The theory is based on the expansion in a parameter ρ=1mW/mt\rho=1-m_W/m_t characterizing the dynamics of the top-quark decay. Within this framework we compute the nonresonant contribution to the total cross section of the top quark-antiquark threshold production in electron-positron annihilation up to the next-to-next-to-leading order. Our method naturally resolves the problem of spurious divergences in the analysis of the unstable top production.

Keywords

Cite

@article{arxiv.1209.3821,
  title  = {Nonrelativistic effective field theory of unstable top},
  author = {Alexander A. Penin and Jan H. Piclum},
  journal= {arXiv preprint arXiv:1209.3821},
  year   = {2012}
}

Comments

9 pages, 4 figures, talk given at the conference "Loops and Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 2012