Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-05
Phys.Rev.D77:105012,2008
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 12 figures, minor changes, final version accepted by Phys. Rev. D
Scientific paper
10.1103/PhysRevD.77.105012
In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for 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.
Bettinelli Daniele
Ferrari Ruggero
Quadri Andrea
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