Status of Chiral-Scale Perturbation Theory

Crewther, R. J.; Tunstall, Lewis (2016). Status of Chiral-Scale Perturbation Theory. PoS - proceedings of science, CD15, p. 132. Scuola Internazionale Superiore di Studi Avanzati SISSA

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Chiral-scale perturbation theory χPTσ has been proposed as an alternative to chiral SU(3)L × SU (3)R perturbation theory which explains the ∆I = 1/2 rule for kaon decays. It is based on a low- energy expansion about an infrared fixed point in three-flavor QCD. In χ PTσ , quark condensation ⟨q ̄q⟩vac ̸= 0 induces nine Nambu-Goldstone bosons: π,K,η and a QCD dilaton σ which we identify with the f0(500) resonance. Partial conservation of the dilatation and chiral currents constrains low-energy constants which enter the effective Lagrangian of χ PTσ . These constraints allow us to obtain new phenomenological bounds on the dilaton decay constant via the coupling of σ/f0 to pions, whose value is known precisely from dispersive analyses of ππ scattering. Improved predictions for σ → γγ and the σNN coupling are also noted. To test χPTσ for kaon decays, we revive a 1985 proposal for lattice methods to be applied to K → π on-shell.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Tunstall, Lewis

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

31 Aug 2016 08:46

Last Modified:

31 Aug 2016 08:46

BORIS DOI:

10.7892/boris.86294

URI:

https://boris.unibe.ch/id/eprint/86294

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