“…In order to estimate the potential influence of higher Pwave resonances (ρ ′ (1450), ρ ′′ (1700)) on the V → 3π decays, we follow an approach recently suggested in connection with the pion vector form factor [52]. There, the following form factor representation has been fitted to the high-precision data for τ − → π − π 0 ν τ from Belle [59]:…”
Section: Contribution From Higher Resonancesmentioning
confidence: 99%
“…(70)) that is retained in Ref. [52]: it does not have a large effect on the form factor, and we want to translate the above representation into a single-channel Omnès form with only elastic ππ rescattering included; Eq. (70) treats the ρ ′ and ρ ′′ as purely elastic resonances anyway.…”
Section: Contribution From Higher Resonancesmentioning
confidence: 99%
“…[21] below √ s = 1.1 GeV, guide this smoothly to the phase of the form factor, which is used up to √ s = 1.8 GeV (roughly the kinematic range accessible in τ − → π − π 0 ν τ and therefore fitted in Ref. [52]), before guiding the phase smoothly to π. This phase, calculated for the central parameter values of the fit to the Belle data [59] given by M ρ ′ = 1.461 GeV, Γ ρ ′ = 0.353 GeV, M ρ ′′ = 1.732 GeV, Γ ρ ′′ = 0.141 GeV, γ = 0.088, δ = −0.024, φ 1 = 0.6, φ 2 = 0.8 [60], is shown in Fig.…”
Section: Contribution From Higher Resonancesmentioning
Abstract. We study the three-pion decays of the lightest isoscalar vector mesons, ω and φ, in a dispersive framework that allows for a consistent description of final-state interactions between all three pions. Our results are solely dependent on the phenomenological input for the pion-pion P-wave scattering phase shift. We predict the Dalitz plot distributions for both decays and compare our findings to recent measurements of the φ → 3π Dalitz plot by the KLOE and CMD-2 collaborations. Dalitz plot parameters for future precision measurements of ω → 3π are predicted. We also calculate the ππ P-wave inelasticity contribution from ωπ intermediate states.
PACS
“…In order to estimate the potential influence of higher Pwave resonances (ρ ′ (1450), ρ ′′ (1700)) on the V → 3π decays, we follow an approach recently suggested in connection with the pion vector form factor [52]. There, the following form factor representation has been fitted to the high-precision data for τ − → π − π 0 ν τ from Belle [59]:…”
Section: Contribution From Higher Resonancesmentioning
confidence: 99%
“…(70)) that is retained in Ref. [52]: it does not have a large effect on the form factor, and we want to translate the above representation into a single-channel Omnès form with only elastic ππ rescattering included; Eq. (70) treats the ρ ′ and ρ ′′ as purely elastic resonances anyway.…”
Section: Contribution From Higher Resonancesmentioning
confidence: 99%
“…[21] below √ s = 1.1 GeV, guide this smoothly to the phase of the form factor, which is used up to √ s = 1.8 GeV (roughly the kinematic range accessible in τ − → π − π 0 ν τ and therefore fitted in Ref. [52]), before guiding the phase smoothly to π. This phase, calculated for the central parameter values of the fit to the Belle data [59] given by M ρ ′ = 1.461 GeV, Γ ρ ′ = 0.353 GeV, M ρ ′′ = 1.732 GeV, Γ ρ ′′ = 0.141 GeV, γ = 0.088, δ = −0.024, φ 1 = 0.6, φ 2 = 0.8 [60], is shown in Fig.…”
Section: Contribution From Higher Resonancesmentioning
Abstract. We study the three-pion decays of the lightest isoscalar vector mesons, ω and φ, in a dispersive framework that allows for a consistent description of final-state interactions between all three pions. Our results are solely dependent on the phenomenological input for the pion-pion P-wave scattering phase shift. We predict the Dalitz plot distributions for both decays and compare our findings to recent measurements of the φ → 3π Dalitz plot by the KLOE and CMD-2 collaborations. Dalitz plot parameters for future precision measurements of ω → 3π are predicted. We also calculate the ππ P-wave inelasticity contribution from ωπ intermediate states.
PACS
“…Within it, both the real and imaginary parts of the χPT loop functions are kept in the denominator of the form factor and the tangent of the relevant phaseshift, δ J I (s), is defined as the ratio of its imaginary and real parts and it enters a three-subtracted dispersion relation in order to provide the final form factor. For the Kπ [12,16,28] and ππ modes [11,13,29] the numerical differences are smaller than the experimental errors. For the decay modes where the elastic approximation is not good (such as Kη (′) ), eq.…”
Abstract.The new hadronic currents implemented in the TAUOLA library are obtained in the unified and consistent framework of Resonance Chiral Theory: a Lagrangian approach in which the resonances exchanged in the hadronic tau decays are active degrees of freedom included in a way that reproduces the low-energy results of Chiral Perturbation Theory. The short-distance QCD constraints on the imaginary part of the spin-one correlators yield relations among the couplings that render the theory predictive. In this communication, the obtaining of the two-and three-meson form factors is sketched. One of the criticisms to our framework is that the error may be as large as 1/3, since it is a realization of the large-N C limit of QCD in a meson theory. A number of arguments are given which disfavor that claim pointing to smaller errors, which would explain the phenomenological success of our description in these decays. Finally, other minor sources of error and current improvements of the code are discussed.
“…In another talk [9] of the conference, an approach, based on Resonance Chiral Lagrangian, for calculations of hadronic currents to be used in TAUOLA was described. That is why, we do not need to repeat it here.…”
Section: Approach Of Resonance Chiral Lagrangians Andmentioning
The status of implementation of new hadronic currents into the Monte Carlo system for simulation of τ-lepton production and decay in high-energy accelerator experiments is reviewed. Since the τ-lepton conference in 2010 substantial progress was achieved: (i) For the TAUOLA Monte Carlo generator of τ-lepton decays, automated and simultaneous use of many versions of form factors for the calculation of optional weights for fits was developed and checked to work in the Belle and BaBar software environment. Alternative parameterizations of hadronic currents based on the Resonance Chiral approach are available now. This was achieved for more than 88% of the total τ hadronic width.(ii) the TAUOLA universal interface based on HepMC (the C++ event record) is available. This is the case for C++ users of PHOTOS Monte Carlo for radiative corrections in decays, as well. An algorithm for weighted events to explore spin effects in analysis of hard processes was prepared. (iii) Kernels featuring a complete first-order matrix element are available now for PHOTOS users interested in decays of Z and W bosons. New tests with different options of matrix elements for those and for K l3 decays are available as well.Presented results illustrate the status of the projects performed in collaboration with
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