Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor

Details Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor

2004-07-21

arxiv.org/abs/hep-ph/0407240v1

JHEP0408:042,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

27+1 pages, 9 figures

Scientific paper

10.1088/1126-6708/2004/08/042

We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark flavours. The ultraviolet behaviour of quantum loops involving virtual resonance propagators is analyzed, together with the kind of counterterms needed in the renormalization procedure. Using the lowest-order equations of motion, we show that only a few combinations of local couplings appear in the final result. The low-energy limit of our calculation reproduces the standard Chiral Perturbation Theory formula, allowing us to determine the resonance contribution to the chiral low-energy couplings, at the next-to-leading order in 1/N_C, keeping a full control of their renormalization scale dependence.

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