English

Quark mass anomalous dimension at O(1/N_f^2) in QCD

High Energy Physics - Phenomenology 2009-10-31 v1

Abstract

We compute the d-dimensional critical exponents corresponding to the wave function and mass renormalization of the quark in QCD in the Landau gauge at a new order, O(1/N_f^2), in the large N_f expansion. The computations are simplified by the establishment in d-dimensions of the critical point equivalence of QCD and the non-abelian Thirring model beyond leading order. The form of the O(1/N_f^2) coefficients in the MSbar quark mass anomalous dimension at five loops is deduced and compared with the numerical asymptotic Pade approximant prediction.

Keywords

Cite

@article{arxiv.hep-ph/9903410,
  title  = {Quark mass anomalous dimension at O(1/N_f^2) in QCD},
  author = {M. Ciuchini and S. E. Derkachov J. A. Gracey and A. N. Manashov},
  journal= {arXiv preprint arXiv:hep-ph/9903410},
  year   = {2009}
}

Comments

13 latex pages, 3 eps figures