Polarization Term

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Silvano Simula - One of the best experts on this subject based on the ideXlab platform.

  • Light-quark contribution to the leading hadronic vacuum Polarization Term of the muon g−2 from twisted-mass fermions
    Physical Review D, 2018
    Co-Authors: D. Giusti, Francesco Sanfilippo, Silvano Simula
    Abstract:

    We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by the European Twisted Mass Collaboration with $N_f = 2+1+1$ dynamical quarks at three values of the lattice spacing with pion masses in the range 210 - 450 MeV. Thanks to several lattices at fixed values of the light-quark mass and scale but with different sizes we perform a careful investigation of finite-volume effects (FVEs). In order to remove FVEs we develop an analytic representation of the vector correlator, which describes the lattice data for time distances larger than $\simeq 0.2$ fm. The representation is based on quark-hadron duality at small and inTermediate time distances and on the two-pion contributions in a finite box at larger time distances. After extrapolation to the physical pion point and to the continuum limit we obtain $a_\mu^{\rm HVP}(ud) = 619.0~(17.8) \cdot 10^{-10}$. Adding the contribution of strange and charm quarks, obtained by ETMC, and an estimate of the isospin-breaking corrections and quark-disconnected diagrams from the literature we get $a_\mu^{\rm HVP}(udsc) = 683~(19) \cdot 10^{-10}$, which is consistent with recent results based on dispersive analyses of the experimental cross section data for $e^+ e^-$ annihilation into hadrons. Using our analytic representation of the vector correlator, taken at the physical pion mass in the continuum and infinite volume limits, we provide the first eleven moments of the Polarization function and we compare them with recent results of the dispersive analysis of the $\pi^+ \pi^-$ channels. We estimate also the light-quark contribution to the missing part of $a_\mu^{\rm HVP}$ not covered in the MUonE experiment.

  • light quark contribution to the leading hadronic vacuum Polarization Term of the muon g 2 from twisted mass fermions
    Physical Review D, 2018
    Co-Authors: D. Giusti, Francesco Sanfilippo, Silvano Simula
    Abstract:

    We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by the European Twisted Mass Collaboration with $N_f = 2+1+1$ dynamical quarks at three values of the lattice spacing with pion masses in the range 210 - 450 MeV. Thanks to several lattices at fixed values of the light-quark mass and scale but with different sizes we perform a careful investigation of finite-volume effects (FVEs). In order to remove FVEs we develop an analytic representation of the vector correlator, which describes the lattice data for time distances larger than $\simeq 0.2$ fm. The representation is based on quark-hadron duality at small and inTermediate time distances and on the two-pion contributions in a finite box at larger time distances. After extrapolation to the physical pion point and to the continuum limit we obtain $a_\mu^{\rm HVP}(ud) = 619.0~(17.8) \cdot 10^{-10}$. Adding the contribution of strange and charm quarks, obtained by ETMC, and an estimate of the isospin-breaking corrections and quark-disconnected diagrams from the literature we get $a_\mu^{\rm HVP}(udsc) = 683~(19) \cdot 10^{-10}$, which is consistent with recent results based on dispersive analyses of the experimental cross section data for $e^+ e^-$ annihilation into hadrons. Using our analytic representation of the vector correlator, taken at the physical pion mass in the continuum and infinite volume limits, we provide the first eleven moments of the Polarization function and we compare them with recent results of the dispersive analysis of the $\pi^+ \pi^-$ channels. We estimate also the light-quark contribution to the missing part of $a_\mu^{\rm HVP}$ not covered in the MUonE experiment.

Manuel Durán-sánchez - One of the best experts on this subject based on the ideXlab platform.

  • Raman-induced Polarization stabilization of vector solitons in circularly birefringent fibers
    Optics express, 2012
    Co-Authors: Nikolai Korneev, E.a Kuzin, Olivier Pottiez, B. A. Villagomez-bernabe, B. Ibarra-escamilla, A. González-garcía, Manuel Durán-sánchez
    Abstract:

    Vector soliton propagation in circularly birefringent fibers was studied by perturbation analysis and numerically. The results show that in presence of both Raman self-frequency shift and group velocity difference between circularly polarized components the Raman cross-Polarization Term causes an energy transfer from the slower to the faster circular component of vector solitons. This effect leads to Polarization stabilization of circularly polarized vector solitons.

D. Giusti - One of the best experts on this subject based on the ideXlab platform.

  • Light-quark contribution to the leading hadronic vacuum Polarization Term of the muon g−2 from twisted-mass fermions
    Physical Review D, 2018
    Co-Authors: D. Giusti, Francesco Sanfilippo, Silvano Simula
    Abstract:

    We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by the European Twisted Mass Collaboration with $N_f = 2+1+1$ dynamical quarks at three values of the lattice spacing with pion masses in the range 210 - 450 MeV. Thanks to several lattices at fixed values of the light-quark mass and scale but with different sizes we perform a careful investigation of finite-volume effects (FVEs). In order to remove FVEs we develop an analytic representation of the vector correlator, which describes the lattice data for time distances larger than $\simeq 0.2$ fm. The representation is based on quark-hadron duality at small and inTermediate time distances and on the two-pion contributions in a finite box at larger time distances. After extrapolation to the physical pion point and to the continuum limit we obtain $a_\mu^{\rm HVP}(ud) = 619.0~(17.8) \cdot 10^{-10}$. Adding the contribution of strange and charm quarks, obtained by ETMC, and an estimate of the isospin-breaking corrections and quark-disconnected diagrams from the literature we get $a_\mu^{\rm HVP}(udsc) = 683~(19) \cdot 10^{-10}$, which is consistent with recent results based on dispersive analyses of the experimental cross section data for $e^+ e^-$ annihilation into hadrons. Using our analytic representation of the vector correlator, taken at the physical pion mass in the continuum and infinite volume limits, we provide the first eleven moments of the Polarization function and we compare them with recent results of the dispersive analysis of the $\pi^+ \pi^-$ channels. We estimate also the light-quark contribution to the missing part of $a_\mu^{\rm HVP}$ not covered in the MUonE experiment.

  • light quark contribution to the leading hadronic vacuum Polarization Term of the muon g 2 from twisted mass fermions
    Physical Review D, 2018
    Co-Authors: D. Giusti, Francesco Sanfilippo, Silvano Simula
    Abstract:

    We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by the European Twisted Mass Collaboration with $N_f = 2+1+1$ dynamical quarks at three values of the lattice spacing with pion masses in the range 210 - 450 MeV. Thanks to several lattices at fixed values of the light-quark mass and scale but with different sizes we perform a careful investigation of finite-volume effects (FVEs). In order to remove FVEs we develop an analytic representation of the vector correlator, which describes the lattice data for time distances larger than $\simeq 0.2$ fm. The representation is based on quark-hadron duality at small and inTermediate time distances and on the two-pion contributions in a finite box at larger time distances. After extrapolation to the physical pion point and to the continuum limit we obtain $a_\mu^{\rm HVP}(ud) = 619.0~(17.8) \cdot 10^{-10}$. Adding the contribution of strange and charm quarks, obtained by ETMC, and an estimate of the isospin-breaking corrections and quark-disconnected diagrams from the literature we get $a_\mu^{\rm HVP}(udsc) = 683~(19) \cdot 10^{-10}$, which is consistent with recent results based on dispersive analyses of the experimental cross section data for $e^+ e^-$ annihilation into hadrons. Using our analytic representation of the vector correlator, taken at the physical pion mass in the continuum and infinite volume limits, we provide the first eleven moments of the Polarization function and we compare them with recent results of the dispersive analysis of the $\pi^+ \pi^-$ channels. We estimate also the light-quark contribution to the missing part of $a_\mu^{\rm HVP}$ not covered in the MUonE experiment.

Weigang Wan - One of the best experts on this subject based on the ideXlab platform.

  • finite larmor radius effects on the m 2 n 1 cylindrical tearing mode
    Physics of Plasmas, 2015
    Co-Authors: Yang Chen, J Chowdhury, Scott Parker, Weigang Wan
    Abstract:

    New field solvers are developed in the gyrokinetic code GEM [Chen and Parker, J. Comput. Phys. 220, 839 (2007)] to simulate low-n modes. A novel discretization is developed for the ion Polarization Term in the gyrokinetic vorticity equation. An eigenmode analysis with finite Larmor radius effects is developed to study the linear resistive tearing mode. The mode growth rate is shown to scale with resistivity as γ ∼ η1∕3, the same as the semi-collisional regime in previous kinetic treatments [Drake and Lee, Phys. Fluids 20, 1341 (1977)]. Tearing mode simulations with gyrokinetic ions are verified with the eigenmode calculation.

  • Finite Larmor radius effects on the (m = 2, n = 1) cylindrical tearing mode
    Physics of Plasmas, 2015
    Co-Authors: Yang Chen, J Chowdhury, Scott Parker, Weigang Wan
    Abstract:

    New field solvers are developed in the gyrokinetic code GEM [Chen and Parker, J. Comput. Phys. 220, 839 (2007)] to simulate low-n modes. A novel discretization is developed for the ion Polarization Term in the gyrokinetic vorticity equation. An eigenmode analysis with finite Larmor radius effects is developed to study the linear resistive tearing mode. The mode growth rate is shown to scale with resistivity as γ ∼ η1∕3, the same as the semi-collisional regime in previous kinetic treatments [Drake and Lee, Phys. Fluids 20, 1341 (1977)]. Tearing mode simulations with gyrokinetic ions are verified with the eigenmode calculation.

Nikolai Korneev - One of the best experts on this subject based on the ideXlab platform.