High statistics measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mn>4</mml:mn><mml:mn /></mml:mrow></mml:msub></mml:mrow></mml:math>decay properties

Pislak, S.; Appel, R.; Atoyan, G. S.; Bassalleck, B.; Bergman, D. R.; 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, Hui; Majid, Walid A.; Poblaguev, A.; Řehák, P.; Sher, A.; Thompson, J.; Truöl, P.; Zeller, M.

doi:10.1103/physrevd.67.072004

Cited by 105 publications

(20 citation statements)

References 63 publications

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“…So far, this high theoretical precision has not been matched by a similar experimental accuracy. The best direct information on ππ scattering lengths is the one extracted from K e4 decays by the BNL-E865 experiment [7], which is affected by a sizable (∼ 6%) statistical error. Given the intrinsic statistical limitation of K e4 decays with respect to the dominant K → 3π modes, and the different nature of…”

Section: Introductionmentioning

confidence: 99%

Pion-pion scattering and the K→3π decay amplitudes

Cabibbo¹,

Isidori²

2005

J. High Energy Phys.

140

258

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We revisit the recently proposed method for the determination of the ππ scattering length combination a 0 − a 2 , based on the study of the π 0 π 0 spectrum in K + → π + π 0 π 0 . In view of a precision measurement, we discuss here the effects due to smaller absorptive contributions to the K + → π + π 0 π 0 and K + → π + π + π − amplitudes. We outline a method of analysis that can lead to a precision determination of a 0 − a 2 and is based on very general properties of the S matrix. The discussion of final-state rescattering and cusp effects is also extended to the two K L → 3π coupled channels. Thanks to the present work, the theoretical error on the a 0 − a 2 combination extracted from the K + → π + π 0 π 0 spectrum is reduced to about 5%. A further reduction requires the evaluation of the effects arising from radiative corrections.

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Section: Introductionmentioning

confidence: 99%

Pion-pion scattering and the K→3π decay amplitudes

Cabibbo¹,

Isidori²

2005

J. High Energy Phys.

140

258

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“…(28)- (30) are much more complicate than those of the isospin-2 [9]. Actually, it partially reflects the fact that the LO χPT can nicely reproduce the I ¼ 2 s-wave ππ scattering length with just a 0.5% deviation as compared with the relevant experimental and theoretical results [1,7,8]. Nevertheless, in the isospin-0 channel, the agreement between LO χPT and corresponding experiments and theoretical results is departed by about 30% [1,7,8].…”

Section: A Threshold Parameters In χ Ptmentioning

confidence: 75%

“…With stringent χPT constraints, the E865 secured ππ scattering lengths from the semileptonic K e4 decay [7]. Using Roy equations after the correction for isospin breaking mass effects, the NA48=2 decisive analyses of the K e4 and K 3π decays lead to the robust results on the s-wave ππ scattering lengths [8].…”

Section: Introductionmentioning

confidence: 99%

I=0 ππ s -wave scattering length from lattice QCD

Chen

2018

Phys. Rev. D

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We deliver lattice results for the I ¼ 0 ππ elastic s-wave scattering length calculated with the MILC N f ¼ 3 flavors of the Asqtad-improved staggered fermions. The scattering phase shifts are determined by Lüscher's formula from the energy-eigenvalues of ππ systems at one center of mass frame and four moving frames using the moving wall source technique. Our measurements are good enough to resolve the scattering length a and effective range r, moreover, it allows us to roughly estimate the shape parameter P. Using our lattice results, the scattering length a and effective range r at the physical point are extrapolated by chiral perturbation theory. Our results are reasonably consistent with the Roy equation determinations and the newer experimental data. Numerical computations are carried out with two MILC fine (a ≈ 0.09 fm, L 3 × T ¼ 40 3 × 96) and one MILC superfine (a ≈ 0.06 fm, L 3 × T ¼ 48 3 × 144) lattice ensembles at three pion masses of m π ∼ 247 MeV, 249 MeV, and 314 MeV, respectively.

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“…On the other hand, the charged K e4 decay has been measured by the E865 experiment [19,20] and the outgoing data have been analyzed in [21] and [22], independently. Before recalling the conclusions of both references, let us stress that the obtained value for a 0 0 is 7% accuracy and is compatible with the prediction of the standard power counting which rests on large N c grounds.…”

Section: Introductionmentioning

confidence: 99%

Isospin breaking in Kℓ4 decay of the neutral kaon

Nehme

2004

Nuclear Physics B

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In the presence of photons, the neutral K ℓ4 decay, K 0 → π 0 π − ℓ + ν ℓ , can be parameterized in terms of three vectorial, one anomalous, and one tensorial form factors. We present here analytic expressions of two vectorial form factors, f and g, calculated at one-loop level in the framework of chiral perturbation theory based on the effective Lagrangian including mesons, photons, and leptons. These expressions may then be used to disentangle the Isospin breaking part from the measured form factors and hence improve the accuracy in the determination of ππ scattering parameters from K ℓ4 experiments.

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High statistics measurement ofKe4decay properties

Cited by 105 publications

References 63 publications

Pion-pion scattering and the K→3π decay amplitudes

Pion-pion scattering and the K→3π decay amplitudes

I=0 ππ s -wave scattering length from lattice QCD

Isospin breaking in Kℓ4 decay of the neutral kaon

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