<i>K</i>Scattering in Three Flavour ChPT

Bijnens, Johan; Dhonte, Pierre; Talavera, P.

doi:10.1088/1126-6708/2004/05/036

Cited by 100 publications

(201 citation statements)

References 58 publications

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“…A comparison of ReχPT expansions with the NNLO formulae in refs. [20,21] should highlight how large values of the O(p 4 ) LECs L 4 and L 6 might destabilise NNLO expansions and how the explicit resummation of vacuum fluctuations of our work echoes in the perturbative expansion adopted in the latter references.…”

Section: Combined Analysesmentioning

confidence: 90%

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Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Descotes-Genon

2007

Eur. Phys. J. C

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Chiral symmetry breaking may exhibit significantly different patterns in two chiral limits: N f = 2 massless flavours (m u = m d = 0, m s physical) and N f = 3 massless flavours (m u = m d = m s = 0). Such a difference may arise due to vacuum fluctuations of ss pairs related to the violation of the Zweig rule in the scalar sector, and could yield a numerical competition between contributions counted as leading and next-to-leading order in the chiral expansions of observables. We recall and extend Resummed Chiral Perturbation Theory (ReχPT), a framework that we introduced previously to deal with such instabilities: it requires a more careful definition of the relevant observables and their one-loop chiral expansions. We analyse the amplitudes for low-energy ππ and πK scatterings within ReχPT, which we match in subthreshold regions with dispersive representations obtained from the solutions of Roy and Roy-Steiner equations. Using a frequentist approach, we constrain the quark mass ratio as well as the quark condensate and the pseudoscalar decay constant in the N f = 3 chiral limit. The results mildly favour significant contributions of vacuum fluctuations suppressing the N f = 3 quark condensate compared to its N f = 2 counterpart.

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Section: Combined Analysesmentioning

confidence: 90%

“…2.3. In addition, two-loop analyses [19,20,21,22] led to values of L 4 and L 6 off large-N c expectations.…”

Section: Convergence Of Observablesmentioning

confidence: 99%

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Descotes-Genon

2007

Eur. Phys. J. C

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“…Constraints from analyticity and unitarity of the amplitude are used to obtain its behavior close to threshold. The similarity between predicted and fitted values of a 1/2 0 and b 1/2 0 is a non-trivial test of Chiral Perturbation Theory [18].…”

Section: The Kπ System In the Elastic Regime Regionmentioning

confidence: 91%

“…This expansion is valid close to threshold for p * < m π . Values of a I ℓ and b I ℓ are obtained from Chiral Perturbation Theory [17,18]. In Table II these predictions are compared with a determination [19] of these quantities obtained from an analysis of experimental data on Kπ scattering and ππ → KK.…”

Section: The Kπ System In the Elastic Regime Regionmentioning

confidence: 99%

Analysis of theD+→K−π+e+νedecay channel

Sanchez¹,

Lees²,

Poireau³

et al. 2011

Phys. Rev. D

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Using 347.5 fb −1 of data recorded by the BABAR detector at the PEP-II electron-positron collider, 244 × 10 3 signal events for the D + → K − π + e + νe decay channel are analyzed. This decay mode is dominated by the K * (892) 0 contribution. We determine the K * (892) 0 parameters:2) MeV/c 2 and the Blatt-Weisskopf parameter rBW = 2.1±0.5±0.5 ( GeV/c) −1 where the first uncertainty comes from statistics and the second from systematic uncertainties. We also measure the parameters defining the corresponding hadronic form factors at q 2 = 0 (rV = V (0)A 1 (0) = 1.463±0.017±0.031, r2 = A 2 (0) A 1 (0) = 0.801±0.020±0.020) and the value of the axial-vector pole mass parameterizing the q 2 variation of A1 and A2: mA = (2.63±0.10±0.13) GeV/c 2 . The S-wave fraction is equal to (5.79 ± 0.16 ± 0.15)%. Other signal components correspond to fractions below 1%. Using the D + → K − π + π + channel as a normalization, we measure the D + semileptonic branching fraction: B(D + → K − π + e + νe) = (4.00 ± 0.03 ± 0.04 ± 0.09) × 10 −2 where the third uncertainty comes from external inputs. We then obtain the value of the hadronic form factor A1 at q 2 = 0: A1(0) = 0.6200 ± 0.0056 ± 0.0065 ± 0.0071. Fixing the P -wave parameters we measure the phase of the S-wave for several values of the Kπ mass. These results confirm those obtained with Kπ production at small momentum transfer in fixed target experiments.

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“…ChPT with L (2) , L (4) , L (6) in 2-loop approximation predicts S-wave scattering length difference [5]:…”

Section: Introductionmentioning

confidence: 99%

Observation and investigation ofπKatoms

Yazkov

2017

EPJ Web Conf.

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Abstract. There is accurate relation between lifetime of atoms, consisting of pion and kaon, and a difference of S-wave pion kaon scattering length with isospin 1/2 and 3/2: |a 1/2 − a 3/2 |. This difference is predicted by low energy QCD. Experiment DIRAC at CERN PS detects 349 ± 62 pairs from K + π − and π + K − atoms and make observation of exotic atoms consist of pion and kaons and provides way for measurement of pion-kaon scattering length difference and check of theoretical predictions.

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KScattering in Three Flavour ChPT

Cited by 100 publications

References 58 publications

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Analysis of theD+→K−π+e+νedecay channel

Observation and investigation ofπKatoms

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