6533b82ffe1ef96bd1294692

RESEARCH PRODUCT

Quantum loops in the Resonance Chiral Theory: improving the vector form factor

I. Rosell

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsComputationHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyForm factor (quantum field theory)ResonanceOrder (ring theory)FOS: Physical sciencesAtomic and Molecular Physics and OpticsHigh Energy Physics - PhenomenologyPionHigh Energy Physics - Phenomenology (hep-ph)Limit (mathematics)Quantum

description

Quantum loops in the Resonance Chiral Theory are needed to improve the implementation of non-perturbative QCD. Furthermore, the one-loop computations can predict chiral low-energy couplings at next-to-leading order, a very appealing task. We present a first calculation of the vector form factor of the pion at subleading order in the 1/N_C expansion. From the analysis of the result at large energies we justify the requirement of considering short-distance constraints from form factors with resonances in the final state. The long-distance limit of our results allows to get a next-to-leading order estimate of \ell_6.

https://dx.doi.org/10.48550/arxiv.hep-ph/0605329