Kℓ3 decays in chiral perturbation theory

Bijnens, Johan; Talavera, P.

doi:10.1016/s0550-3213(03)00581-9

Cited by 199 publications

(340 citation statements)

References 43 publications

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“…Specifically, the isospin-symmetric O(p 6 ) result of Ref. [23] is, using the numerical estimates for the local terms found in Ref. [24] (see also Refs.…”

Section: The Vector Form-factors Atmentioning

confidence: 99%

Improved estimates of rareKdecay matrix elements fromKℓ3decays

2007

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The estimation of rare K decay matrix-elements from K ℓ3 experimental data is extended beyond LO in Chiral Perturbation Theory. Isospin-breaking effects at NLO (and partially NNLO) in the ChPT expansion, as well as QED radiative corrections, are now accounted for. The analysis relies mainly on the cleanness of two specific ratios of form-factors, for which the theoretical control is excellent. As a result, the uncertainties on the K + → π + νν and K L → π 0 νν matrix-elements are reduced by a factor of about 7 and 4, respectively, and similarly for the direct CP-violating contributions to K L → π 0 e + e − and K L → π 0 µ + µ − . They could be reduced even further with better experimental data for the K ℓ3 slopes and the K + ℓ3 branching ratios. As a result, the non-parametric errors for B (K → πνν) and for the direct CP-violating contributions to B K L → π 0 ℓ + ℓ − are now completely dominated by those on the short-distance physics.

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“…Specifically, the isospin-symmetric O(p 6 ) result of Ref. [23] is, using the numerical estimates for the local terms found in Ref. [24] (see also Refs.…”

Section: The Vector Form-factors Atmentioning

confidence: 99%

Improved estimates of rareKdecay matrix elements fromKℓ3decays

2007

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“…An important observation by Bijnens and Talavera [19] is that the combination of low-energy constants entering f 4 could be in principle constrained by experimental data on the slope and curvature of the scalar form factor. The required level of experimental precision, however, is far from what is currently achieved.…”

Section: Us | From Semileptonic Kaon Decaysmentioning

confidence: 99%

The role of Lattice QCD in flavor physics

Lubicz

2005

Nuclear Physics B - Proceedings Supplements

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Understanding flavor physics is one of the most important tasks of particle physics today, which is motivating an extraordinary experimental and theoretical investigational effort. Important progress in this field has already been achieved in the last few years, with Lattice QCD calculations playing an essential role in this effort. I will describe some lattice contributions to the studies of flavor physics by focusing particularly on the determination of the CKM matrix and on the study of CP violation in the Standard Model.

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“…At O(p 6 ) the situation is more complex as there appear contributions from two-loops with L χP T . These loops give [17] :…”

Section: Lecs From Large-n C Qcdmentioning

confidence: 99%

Three-point Green Functions in the resonance region : LEC's

Portolés

2007

Nuclear Physics B - Proceedings Supplements

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Using the 1/NC expansion scheme and truncating the hadronic spectrum to the lowest-lying multiplets of resonances we develop a procedure to implement QCD information on the non-perturbative regime populated by resonances through the use of three-point Green Functions of QCD currents. The process implies to enforce on these functions the constraints provided by their asymptotic behaviour ruled by QCD using their OPE or associated form factors. As a result we are able to determine several couplings of the O(p 6 ) Chiral Perturbation Theory Lagrangian and, in consequence, to address phenomenological issues such as the SU (3) breaking in K ℓ3 decays.

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Kℓ3 decays in chiral perturbation theory

Cited by 199 publications

References 43 publications

Improved estimates of rareKdecay matrix elements fromKℓ3decays

Improved estimates of rareKdecay matrix elements fromKℓ3decays

The role of Lattice QCD in flavor physics

Three-point Green Functions in the resonance region : LEC's

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