Erratum: High statistics measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math>decay properties [Phys. Rev. D<b>67</b>, 072004 (2003)]

Pislak, S.; Appel, R.; Atoyan, G. S.; Bassalleck, B.; Bergman, Douglas; Cheung, N.W.; Dhawan, S. K.; Do, Hyo-Sang; Egger, J.; Eilerts, S.; Fischer, H.; Herold, W.; Issakov, Vadim; Kaspar, H.; Kraus, D.; Lazarus, D. M.; Lichard, P.; Lowe, J.; Lozano, J.; Ma, H.L.; Majid, Walid A.; Poblaguev, A.; Řehák, P.; Sher, A.; Thompson, J.; Truöl, P.; Zeller, M.

doi:10.1103/physrevd.81.119903

Cited by 73 publications

(146 citation statements)

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“…We perform a fit of the dispersion relation to both, the E865 [2] and NA48/2 data sets [3]. The S -wave dominantly determines the three subtraction constants in M 0 , the P-wave the two in M 1 .…”

Section: Fit To Datamentioning

confidence: 99%

“…The error bars indicate separately the uncorrelated part of the uncertainties and the total errors (containing also the uncertainty from the normalisation). Dispersive treatment, fit to E865 [2] 0.42 ± 0.41 0.41 ± 0.34 −2.19 ± 1.41 Dispersive treatment, fit to NA48/2 [3] 0.60 ± 0.29 0.63 ± 0.28 −3.16 ± 1.19 Bijnens, Jemos, 'fit All' [10] 0.88 ± 0.09 0.61 ± 0.20 −3.04 ± 0.43…”

Section: Matching To Chptmentioning

confidence: 99%

“…Figure 1. Fit of the S -and P-wave to both E865 [2] and NA48/2 [3] data. The error bars indicate separately the uncorrelated part of the uncertainties and the total errors (containing also the uncertainty from the normalisation).…”

Section: Matching To Chptmentioning

confidence: 99%

“…On the experimental side, we are confronted with impressive precision from high statistics measurements. During the last decade, the process has been measured in the E865 experiment at BNL [2] and in the NA48/2 experiment at CERN [1]. Very recently, the NA48/2 collaboration has published the results on the branching ratio and form factors of K 4 , based on more than a million events [3].…”

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A Dispersive Treatment ofK_ℓ4Decays

Colangelo

Passemar

Stoffer

2012

EPJ Web of Conferences

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K 4 are for several reasons an especially interesting decay channel of K mesons:K 4 decays allow an accurate measurement of a combination of S -wave ππ scattering lengths, one form factor of the decay is connected to the chiral anomaly and the decay is the best source for the determination of some low energy constants of ChPT. We present a dispersive approach to K 4 decays, which takes rescattering effects fully into account. Some fits to NA48/2 and E865 measurements and results of the matching to ChPT are shown. MotivationK 4 , the semileptonic decay of a kaon into two pions and a lepton-neutrino pair, plays a crucial role in the context of low energy hadron physics, because it provides almost unique information about some of the O(p 4 ) low energy constants (LECs) of Chiral Perturbation Theory (ChPT), the effective low energy theory of QCD. The physical region of K 4 starts already at the ππ threshold, thus it happens at lower energies than e.g. elastic Kπ scattering. Since ChPT is an expansion in the masses and momenta, it is expected to converge better at lower energies. Therefore K 4 is a particularly interesting process to study.Besides, as the hadronic final state contains two pions, K 4 is also one of the best sources of information on the ππ scattering lengths a 0 0 and a 2 0 [1]. On the experimental side, we are confronted with impressive precision from high statistics measurements. During the last decade, the process has been measured in the E865 experiment at BNL [2] and in the NA48/2 experiment at CERN [1]. Very recently, the NA48/2 collaboration has published the results on the branching ratio and form factors of K 4 , based on more than a million events [3].Here, we present preliminary results of a new dispersive treatment of K 4 decays. Dispersion relations are an interesting tool to treat low energy hadronic processes. They are based on the very general principles of analyticity and unitarity. The derivation of the dispersion relation applies a chiral power counting and is valid up to and including O(p 6 ). The dispersion relation is parametrised by five subtraction constants. As soon as these constants have been fixed, the energy dependence is fully determined by the dispersion relation. The presented method implements a summation of final state rescattering effects, thus we expect it to incorporate the most important contributions beyond O(p 6 ). a

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Section: Fit To Datamentioning

confidence: 99%

Section: Matching To Chptmentioning

confidence: 99%

Section: Matching To Chptmentioning

confidence: 99%

mentioning

confidence: 99%

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A Dispersive Treatment ofK_ℓ4Decays

Colangelo

Passemar

Stoffer

2012

EPJ Web of Conferences

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“…We determine the subtraction constants using three sources of information: first, we fit the experimental data on the form factors F and G from the high-statistics experiments NA48/2 [1,15] and E865 [16,17]. Secondly, we use the soft-pion theorem, which establishes relations between F, G and f + , the K 3 vector form factor, as an additional constraint.…”

Section: Solution Of the Dispersion Relationmentioning

confidence: 99%

A dispersive treatment ofK_ℓ4decays

Colangelo

Passemar

Stoffer

2014

EPJ Web of Conferences

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Abstract. The K 4 decay is one of the best sources of information on some low-energy constants of chiral perturbation theory (χPT). We present a dispersive approach to K 4 decays, which takes rescattering effects fully into account. The dispersion relation treats both experimentally accessible form factors simultaneously and also describes the dependence on the dilepton invariant mass. We apply isospin-breaking corrections before fitting the data of NA48/2 and E865 experiments and extract the values of the low-energy constants L r 1 , L r 2 and L r 3 from a matching to χPT.

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