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) |
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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: |
05 Dec 2022 14:58 |
BORIS DOI: |
10.7892/boris.86294 |
URI: |
https://boris.unibe.ch/id/eprint/86294 |
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