English

The Soft R'egime in NRQCD

High Energy Physics - Phenomenology 2007-05-23 v1 Nuclear Theory

Abstract

A Lagrangean and a set of Feynman rules are presented for Non-Relativistic QCD with manifest power counting in the heavy quark velocity vv. A r\'egime is identified in which energies and momenta are of order MvMv. It is neither identical to the ultrasoft r\'egime corresponding to radiative processes with energies and momenta of order Mv2Mv^2, nor to the potential r\'egime with on shell quarks and gluons providing the Coulomb binding. In this soft r\'egime, gluons are on shell, and the quark propagator becomes static. Examples show that it contributes to one- and two-loop corrections of scattering and production amplitudes near threshold. The results are readily generalised to any effective field theory with more than one low energy scale.

Keywords

Cite

@article{arxiv.hep-ph/9804251,
  title  = {The Soft R'egime in NRQCD},
  author = {H. W. Griesshammer},
  journal= {arXiv preprint arXiv:hep-ph/9804251},
  year   = {2007}
}

Comments

14 pages LaTeX2e, uses feynmf to generate 11 in-text graphs, 2 tables and 4 figures; Talk presented at the workshop ``Nuclear Physics with Effective Field Theories'' at Caltech, 26th -- 27th February 1998