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Origin of \Delta I=1/2 Rule for Kaon Decays: QCD Infrared Fixed Point

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arxiv 1203.1321 v3 pith:Q43I2BEM submitted 2012-03-06 hep-ph nucl-th

R. J. Crewther , Lewis C. Tunstall This is my paper · ORCID
classification hep-phnucl-th
keywords sigmagammaalphachptfixeddeltainfraredpoint
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We replace ordinary chiral SU(3)_L * SU(3)_R perturbation theory CHPT_3 by a new theory CHPT_sigma based on a low-energy expansion about an infrared fixed point alpha_IR for 3-flavor QCD. At alpha_IR, the quark condensate <bar{q}q>_vac =\= 0 induces nine Nambu-Goldstone bosons: pi, K, eta and a 0++ QCD dilaton sigma. Physically, sigma appears as the f_0(500) resonance, a pole at a complex mass with real part < m_K. The \Delta I = 1/2 rule for nonleptonic K-decays is then a consequence of CHPT_sigma, with a K_S-sigma coupling fixed by data for K_S^0 --> gamma gamma and gamma gamma --> pi pi. We estimate R_IR ~ 5 for the nonperturbative Drell-Yan ratio R = sigma(e+e- --> hadrons)/sigma(e+e- --> mu+mu-) at alpha_IR.

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  1. Dilaton Physics from Asymptotic Freedom

    hep-th 2025-01 conditional novelty 6.0 of 10

    In a large-N 3D Gross-Neveu-Yukawa theory, the endpoint of the conformal window spontaneously breaks scale symmetry, producing a massless dilaton whose decay constant and induced mass obey a universal product formula.

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