πKscattering inputs to ChPT

Büttiker, P.; Descotes-Genon, S.; Moussallam, B.

doi:10.1016/j.nuclphysbps.2004.04.169

Cited by 61 publications

(130 citation statements)

References 21 publications

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“…However our understanding of πK scattering at low energies has been improved recently through the re-analysis of dispersive Roy-Steiner equations [10]. A rapid analysis of its results in the framework of threeflavour χPT hinted at significant vacuum fluctuations encoded in some O(p 4 ) chiral couplings, which calls for a more detailed analysis of the πK system.…”

Section: Introductionmentioning

confidence: 99%

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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: Introductionmentioning

confidence: 99%

“…In sec. 4, we explain how we determine the same amplitudes dispersively in subthreshold regions, building upon the solutions of Roy and Roy-Steiner equations [3,10]. In sec.…”

Section: Introductionmentioning

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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“…Our measurements of the S-wave phase have large uncertainties in the threshold region and it remains to evaluate how they can improve the determination of chiral parameters using, for instance, the framework explained in ref. [19].…”

Section: Discussionmentioning

confidence: 99%

“…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. Constraints from analyticity and unitarity of the amplitude are used to obtain its behavior close to threshold.…”

Section: The Kπ System In the Elastic Regime Regionmentioning

confidence: 99%

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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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Review of chiral perturbation theory

Ananthanarayan

2003

Pramana - J Phys

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πKscattering inputs to ChPT

Cited by 61 publications

References 21 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

Review of chiral perturbation theory

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