June 29, 2015 to July 3, 2015
Pisa
Europe/Rome timezone

Status of chiral-scale perturbation theory

Jul 2, 2015, 1:10 PM
1h 20m
Hall (Building E, Polo Fibonacci, Pisa)

Hall

Building E, Polo Fibonacci, Pisa

Poster Goldstone Boson Working Group Poster Session

Speaker

Rod Crewther (University of Adelaide)

Description

We observe that flavor current conservation constrains the structure of chiral-scale perturbation theory ChPT_sigma. This theory addresses the disagreement between experiment and lowest order chiral SU(3) x SU(3) perturbation theory (ChPT_3) for amplitudes involving the f_0(500) resonance and O(m_K) extrapolations in momenta. In ChPT_sigma, it is assumed that 3-flavor QCD has an infrared fixed point where the chiral condensate induces nine Nambu-Goldstone bosons: pi, K, eta and a QCD dilaton sigma which we identify with f_0(500). In the leading order of ChPT_sigma, dilaton-pole dominance explains the Delta I = 1/2 rule in nonleptonic K-decays. The effect of the simplification noted above is that the theory becomes more predictive for the decays sigma -> pi pi and sigma -> gamma gamma and hence for the sigma NN coupling.

Primary author

Rod Crewther (University of Adelaide)

Co-author

Dr LEWIS TUNSTALL (UNIVERSITY OF BERN)

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