Vector Form

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Pablo Roig - One of the best experts on this subject based on the ideXlab platform.

  • a dispersive analysis of the pion Vector Form factor and tau rightarrow k k_ s nu _ tau decay
    European Physical Journal C, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays \(\tau ^{-}\rightarrow \pi ^{-}\pi ^{0}\nu _{\tau }\) and \(\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }\) in the determination of the \(\rho (1450)\) and \(\rho (1700)\) resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor \(|F_{V}^{\pi }|^{2}\) obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the \(\rho (1450)\) and \(\rho (1700)\) pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the \(\rho \)-pole position. On the other hand, we benefit from the recent experimental data for the transition \(\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }\) released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the \(K^{-}K_{S}\) decay channel will allow to compete with the \(|F_{V}^{\pi }|^{2}\) ones and improve the determination of the \(\rho (1450)\) and \(\rho (1700)\) resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

  • a dispersive analysis of the pion Vector Form factor and tau rightarrow k k_ s nu _ tau τ k k s ν τ decay
    European Physical Journal C, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays $$\tau ^{-}\rightarrow \pi ^{-}\pi ^{0}\nu _{\tau }$$ and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ in the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor $$|F_{V}^{\pi }|^{2}$$ obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the $$\rho $$ -pole position. On the other hand, we benefit from the recent experimental data for the transition $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the $$K^{-}K_{S}$$ decay channel will allow to compete with the $$|F_{V}^{\pi }|^{2}$$ ones and improve the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

  • a dispersive analysis of the pion Vector Form factor and tau to k k_ s nu_ tau decay
    arXiv: High Energy Physics - Phenomenology, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays $\tau^{-}\to\pi^{-}\pi^{0}\nu_{\tau}$ and $\tau^{-}\to K^{-}K_{S}\nu_{\tau}$ in the determination of the $\rho(1450)$ and $\rho(1700)$ resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor $|F_{V}^{\pi}|^{2}$ obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the $\rho(1450)$ and $\rho(1700)$ pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the $\rho$-pole position. On the other hand, we benefit from the recent experimental data for the transition $\tau^{-}\to K^{-}K_{S}\nu_{\tau}$ released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the $K^{-}K_{S}$ decay channel will allow compete with the $|F_{V}^{\pi}|^{2}$ ones and improve the determination of the $\rho(1450)$ and $\rho(1700)$ resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

  • dispersive representation of the pion Vector Form factor in τ ππν τ decays
    European Physical Journal C, 2013
    Co-Authors: Gomez D Dumm, Pablo Roig
    Abstract:

    We propose a dispersive representation of the charged pion Vector Form factor that is consistent with chiral symmetry and fulfills the constraints imposed by analyticity and unitarity. Unknown parameters are fitted to the very precise data on τ−→π−π0ντ decays obtained by Belle, leading to a good description of the corresponding spectral function up to a ππ squared invariant mass s≃1.5 GeV2. We determine the ρ(770) mass and width pole parameters and obtain the values of low-energy observables. The significance of isospin-breaking corrections is also discussed. For larger values of s, this representation is complemented with a phenomenological description to allow its implementation in the new TAUOLA hadronic currents.

  • Dispersive representation of the pion Vector Form factor in τ→ππν τ decays
    European Physical Journal C, 2013
    Co-Authors: D. Gómez Dumm, Pablo Roig
    Abstract:

    We propose a dispersive representation of the charged pion Vector Form factor that is consistent with chiral symmetry and fulfills the constraints imposed by analyticity and unitarity. Unknown parameters are fitted to the very precise data on τ−→π−π0ντ decays obtained by Belle, leading to a good description of the corresponding spectral function up to a ππ squared invariant mass s≃1.5 GeV2. We determine the ρ(770) mass and width pole parameters and obtain the values of low-energy observables. The significance of isospin-breaking corrections is also discussed. For larger values of s, this representation is complemented with a phenomenological description to allow its implementation in the new TAUOLA hadronic currents.

Sergi Gonzalezsolis - One of the best experts on this subject based on the ideXlab platform.

  • a dispersive analysis of the pion Vector Form factor and tau rightarrow k k_ s nu _ tau decay
    European Physical Journal C, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays \(\tau ^{-}\rightarrow \pi ^{-}\pi ^{0}\nu _{\tau }\) and \(\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }\) in the determination of the \(\rho (1450)\) and \(\rho (1700)\) resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor \(|F_{V}^{\pi }|^{2}\) obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the \(\rho (1450)\) and \(\rho (1700)\) pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the \(\rho \)-pole position. On the other hand, we benefit from the recent experimental data for the transition \(\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }\) released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the \(K^{-}K_{S}\) decay channel will allow to compete with the \(|F_{V}^{\pi }|^{2}\) ones and improve the determination of the \(\rho (1450)\) and \(\rho (1700)\) resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

  • a dispersive analysis of the pion Vector Form factor and tau rightarrow k k_ s nu _ tau τ k k s ν τ decay
    European Physical Journal C, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays $$\tau ^{-}\rightarrow \pi ^{-}\pi ^{0}\nu _{\tau }$$ and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ in the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor $$|F_{V}^{\pi }|^{2}$$ obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the $$\rho $$ -pole position. On the other hand, we benefit from the recent experimental data for the transition $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the $$K^{-}K_{S}$$ decay channel will allow to compete with the $$|F_{V}^{\pi }|^{2}$$ ones and improve the determination of the $$\rho (1450)$$ and $$\rho (1700)$$ resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

  • a dispersive analysis of the pion Vector Form factor and tau to k k_ s nu_ tau decay
    arXiv: High Energy Physics - Phenomenology, 2019
    Co-Authors: Sergi Gonzalezsolis, Pablo Roig
    Abstract:

    We explore the potential of a combined analysis of the decays $\tau^{-}\to\pi^{-}\pi^{0}\nu_{\tau}$ and $\tau^{-}\to K^{-}K_{S}\nu_{\tau}$ in the determination of the $\rho(1450)$ and $\rho(1700)$ resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion Vector Form factor $|F_{V}^{\pi}|^{2}$ obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the $\rho(1450)$ and $\rho(1700)$ pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the Form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion Vector Form factor and the $\rho$-pole position. On the other hand, we benefit from the recent experimental data for the transition $\tau^{-}\to K^{-}K_{S}\nu_{\tau}$ released by BaBar to perForm a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higher-quality data on the $K^{-}K_{S}$ decay channel will allow compete with the $|F_{V}^{\pi}|^{2}$ ones and improve the determination of the $\rho(1450)$ and $\rho(1700)$ resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

Atsushi Hosaka - One of the best experts on this subject based on the ideXlab platform.

  • Vector and axial Vector Form factors in radiative kaon decay and flavor su 3 symmetry breaking
    Physics Letters B, 2019
    Co-Authors: Sangin Shim, Atsushi Hosaka
    Abstract:

    Abstract We study the Vector and axial-Vector Form factors of radiative kaon decay within the framework of the gauged nonlocal effective chiral action from the instanton vacuum, focusing on the effects of flavor SU(3) symmetry breaking. The general tendency of the results are rather similar to those of radiative pion decays: The nonlocal contributions make the results of the Vector Form factor increased by about 20 % , whereas they reduce those of the axial-Vector Form factor by almost 50 % . Suppressing the prefactors consisting of the kaon mass and the pion decay constant, we scrutinize how the kaon Form factors undergo changes as the mass of the strange current quark is varied. Those related to the Vector and second axial-Vector Form factors tend to decrease monotonically as the strange quark mass increases, whereas that for the axial-Vector Form factor decreases. When K → e ν γ decay is considered, both the results of the Vector and axial-Vector Form factors at the zero momentum transfer are in good agreement with the experimental data. The results are also compared with those from chiral perturbation theory to p 6 order.

J.c. Preisig - One of the best experts on this subject based on the ideXlab platform.

  • Vector Form EM and suboptimal joint state and parameter estimation
    Proceedings. (ICASSP '05). IEEE International Conference on Acoustics Speech and Signal Processing 2005., 2005
    Co-Authors: Weichang Li, J.c. Preisig
    Abstract:

    The expectation maximization (EM) algorithm combined with the Kalman filter (KF) can be applied iteratively to yield state estimates and ML estimates of the parameters of a linear dynamical system. In this paper new recursive Forms of the accumulated second-order state moments which constitute the core of the joint state and parameter estimator are derived. The new recursions are in Vector Form and follow directly from the state smoothing Formula as well as the properties of the Kronecker product. By loosening the optimal constraints, the new recursion Forms lead to efficient suboptimal algorithms that are time-recursive. Convergence control of these recursive algorithms by exponential weighting is also considered.

  • ICASSP (4) - Vector Form EM and suboptimal joint state and parameter estimation
    Proceedings. (ICASSP '05). IEEE International Conference on Acoustics Speech and Signal Processing 2005., 2005
    Co-Authors: Weichang Li, J.c. Preisig
    Abstract:

    The expectation maximization (EM) algorithm combined with the Kalman filter (KF) can be applied iteratively to yield state estimates and ML estimates of the parameters of a linear dynamical system. In this paper new recursive Forms of the accumulated second-order state moments which constitute the core of the joint state and parameter estimator are derived. The new recursions are in Vector Form and follow directly from the state smoothing Formula as well as the properties of the Kronecker product. By loosening the optimal constraints, the new recursion Forms lead to efficient suboptimal algorithms that are time-recursive. Convergence control of these recursive algorithms by exponential weighting is also considered.

Phiala Shanahan - One of the best experts on this subject based on the ideXlab platform.

  • su 3 breaking in hyperon transition Vector Form factors
    Physical Review D, 2015
    Co-Authors: Phiala Shanahan, A N Cooke, R Horsley, Y Nakamura, P E L Rakow, G Schierholz, A W Thomas, Rowan Young, J M Zanotti
    Abstract:

    We present a calculation of the SU(3)-breaking corrections to the hyperon transition Vector Form factors to $\mathcal{O}({p}^{4})$ in heavy-baryon chiral perturbation theory with finite-range regularization. Both octet and decuplet degrees of freedom are included. We Formulate a chiral expansion at the kinematic point ${Q}^{2}=\ensuremath{-}({M}_{{B}_{1}}\ensuremath{-}{M}_{{B}_{2}}{)}^{2}$, which can be conveniently accessed in lattice QCD. The two unknown low-energy constants at this point are constrained by lattice QCD simulation results for the ${\mathrm{\ensuremath{\Sigma}}}^{\ensuremath{-}}\ensuremath{\rightarrow}n$ and ${\mathrm{\ensuremath{\Xi}}}^{0}\ensuremath{\rightarrow}{\mathrm{\ensuremath{\Sigma}}}^{+}$ transition Form factors. Hence, we determine lattice-inFormed values of ${f}_{1}$ at the physical point. This work constitutes progress toward the precise determination of $|{V}_{us}|$ from hyperon semileptonic decays.