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• W2971352144 endingPage "134891" @default.
• W2971352144 startingPage "134891" @default.
• W2971352144 abstract "At order ${mathcal O}(alpha G_{mathrm F})$, the amplitudes for the decays $Ktopi ell^+ell^-$ involve a form factor given by the matrix element of the time-ordered product of the electromagnetic current with the four-quark operators describing weak non-leptonic neutral-current transitions between a kaon and a pion. The short-distance behaviour of this time-ordered product, when considered at order ${mathcal O}(alpha_s)$ in the perturbative expansion of QCD, involves terms linear and quadratic in the logarithm of the Euclidean momentum transfer squared. It is shown how one can exactly match these short-distance features using a dispersive representation of the form factor, with an absorptive part given by an infinite sum of zero-width resonances following a Regge-type spectrum. Some phenomenology-related issues are briefly discussed." @default.
• W2971352144 created "2019-09-05" @default.
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• W2971352144 date "2019-10-01" @default.
• W2971352144 modified "2023-10-14" @default.
• W2971352144 title "Matching long and short distances in the form factors for K → πℓ+ℓ−" @default.
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• W2971352144 doi "https://doi.org/10.1016/j.physletb.2019.134891" @default.
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