• DOI:10.1103/PhysRevD.77.105012
• Corpus ID: 119275906

One-loop self-energy and counterterms in a massive Yang-Mills theory based on the nonlinearly realized gauge group

@article{Bettinelli2007OneloopSA,
  title={One-loop self-energy and counterterms in a massive Yang-Mills theory based on the nonlinearly realized gauge group},
  author={Daniele Bettinelli and Ruggero Ferrari and Andrea Quadri},
  journal={Physical Review D},
  year={2007},
  volume={77},
  pages={105012}
}

• D. Bettinelli, R. Ferrari, A. Quadri
• Published 5 September 2007
• Physics
• Physical Review D

In this paper, we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for the massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting self-mass can be compared with the value obtained in the massive Yang-Mills theory based on the Higgs mechanism, consisting in extra terms due to the presence of the Higgs boson (tadpoles included). Moreover, we evaluate all the one-loop counterterms necessary for the next order calculations. By construction, they satisfy all the equations of the model (Slavnov-Taylor, local functional equation, and Landau gauge equation). They are sufficient to make all the one-loop amplitudes finite through the hierarchy encoded in the local functional equation.