Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/100786
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dc.contributor.author | Crewther, R. | - |
dc.contributor.author | Tunstall, L. | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Physical Review D: Particles, Fields, Gravitation and Cosmology, 2015; 91(3):034016-1-034016-20 | - |
dc.identifier.issn | 1550-7998 | - |
dc.identifier.issn | 1550-2368 | - |
dc.identifier.uri | http://hdl.handle.net/2440/100786 | - |
dc.description | Published 17 February 2015 | - |
dc.description.abstract | This article gives details of our proposal to replace ordinary chiral SUð3ÞL × SUð3ÞR perturbation theory χPT3 by three-flavor chiral-scale perturbation theory χPTσ. In χPTσ, amplitudes are expanded at low energies and small u; d; s quark masses about an infrared fixed point αIR of three-flavor QCD. At αIR, the quark condensate h¯qqivac ≠ 0 induces nine Nambu-Goldstone bosons: π; K; η, and a 0þþ QCD dilaton σ. Physically, σ appears as the f0ð500Þ resonance, a pole at a complex mass with real part ≲mK. The ΔI ¼ 1=2 rule for nonleptonic K decays is then a consequence of χPTσ, with a KSσ coupling fixed by data for γγ → ππ and KS → γγ. We estimate RIR ≈ 5 for the nonperturbative Drell-Yan ratio R ¼ σðeþe− → hadronsÞ=σðeþe− → μþμ−Þ at αIR and show that, in the many-color limit, σ=f0 becomes a narrow q¯q state with planar-gluon corrections. Rules for the order of terms in χPTσ loop expansions are derived in Appendix A and extended in Appendix B to include inverse-power Li-Pagels singularities due to external operators. This relates to an observation that, for γγ channels, partial conservation of the dilatation current is not equivalent to σ-pole dominance. | - |
dc.description.statementofresponsibility | R. J. Crewther and Lewis C. Tunstall | - |
dc.language.iso | en | - |
dc.publisher | American Physical Society | - |
dc.rights | © 2015 American Physical Society | - |
dc.source.uri | http://dx.doi.org/10.1103/physrevd.91.034016 | - |
dc.title | ΔI=1/2 rule for kaon decays derived from QCD infrared fixed point | - |
dc.title.alternative | DeltaI=1/2 rule for kaon decays derived from QCD infrared fixed point | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1103/PhysRevD.91.034016 | - |
dc.relation.grant | ARC | - |
pubs.publication-status | Published | - |
Appears in Collections: | Aurora harvest 7 Physics publications |
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hdl_100786.pdf | Published version | 805.78 kB | Adobe PDF | View/Open |
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