/K-->3π decays in chiral perturbation theory

By J. Bijnens, Pierre Dhonte, F. Persson. 2002

152 citations recorded by the source corpus.

Abstract The CP conserving amplitudes for the decays K →3 π are calculated in chiral perturbation theory at the next-to-leading order. We present the expressions in a compact form with single parameter functions only. These expressions are then fitted to all available K →2 π and K →3 π data to obtain a fit of the parameters that occur. We compare with the work of Kambor, Missimer and Wyler.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/10eceb3c8bc877f6f6c49a8bcb402259a2853f8f

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In Nuclear and High Energy Physics

Citations in the corpus

FLAG Review 2019 (2019, methodology): “The more recent calculations are more sophisticated, as they make use of the known explicit expression for the Kl3 form factors to NNLO in χPT [250, 252].”
Charged-Higgs phenomenology in the aligned two-Higgs-doublet model (2010, unknown): “lthough consistent with the old Leutwyler-Roos estimate [50], based on O(p4) Chiral Perturbation Theory (χPT), these lattice determinations are somewhat smaller than the O(p6) analytical calculations [51, 52, 53, 54]. We take this into account and adopt the conservative range fKπ + (0) = 0.965 ±0.01”
Kaon Decays in the Standard Model (2011, background): “(4.52) Within CHPT, fp6 receives contributions from twoloop diagrams, one-loop diagrams with insertion of one vertex from the p4 effective Lagrangian, and tree-level diagrams with two insertions from Lp4 or one from Lp6 (Bijnens and Talavera, 2003; Post and Schilcher, 2002): fp6 = f 2−loop p6 (µ) + ”
Review of lattice results concerning low-energy particle physics (2010, methodology): “ﬀects are estimated in the framework of the quark model. The more recent calculations are more sophisticated, as they make use of the known explicit expression for the Kℓ3 form factors to NNLO of χPT [180, 181]. The corresponding formula for f4 accounts for the chiral logarithms occurring at NNLO an”