The Experts below are selected from a list of 21252 Experts worldwide ranked by ideXlab platform
Yongzhong Qian - One of the best experts on this subject based on the ideXlab platform.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference ($|\ensuremath{\delta}{m}^{2}|\ensuremath{\simeq}3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}\text{ }\text{ }{\mathrm{eV}}^{2}$) and values of ${\ensuremath{\theta}}_{13}$ allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the ``bi-polar'' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of $r$-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference (vertical bar {delta}m{sup 2} vertical bar {approx_equal}3x10{sup -3} eV{sup 2}) and values of {theta}{sub 13} allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the 'bi-polar' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of r-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
Huaiyu Duan - One of the best experts on this subject based on the ideXlab platform.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference ($|\ensuremath{\delta}{m}^{2}|\ensuremath{\simeq}3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}\text{ }\text{ }{\mathrm{eV}}^{2}$) and values of ${\ensuremath{\theta}}_{13}$ allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the ``bi-polar'' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of $r$-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference (vertical bar {delta}m{sup 2} vertical bar {approx_equal}3x10{sup -3} eV{sup 2}) and values of {theta}{sub 13} allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the 'bi-polar' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of r-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
Ahmed Kebaier - One of the best experts on this subject based on the ideXlab platform.
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non asymptotic error bounds for the multilevel monte carlo euler method applied to sdes with constant diffusion coefficient
Electronic Journal of Probability, 2019Co-Authors: Benjamin Jourdain, Ahmed KebaierAbstract:In this paper, we are interested in deriving non-asymptotic error bounds for the multilevel Monte Carlo method. As a first step, we deal with the explicit Euler discretization of stochastic differential equations with a constant diffusion coefficient. We obtain Gaussian-type concentration. To do so, we use the Clark-Ocone representation formula and derive bounds for the moment generating functions of the Squared Difference between a crude Euler scheme and a finer one and of the Squared Difference of their Malliavin derivatives.
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non asymptotic error bounds for the multilevel monte carlo euler method applied to sdes with constant diffusion coefficient
arXiv: Probability, 2017Co-Authors: Benjamin Jourdain, Ahmed KebaierAbstract:In this paper, we are interested in deriving non-asymptotic error bounds for the multilevel Monte Carlo method. As a first step, we deal with the explicit Euler discretization of stochastic differential equations with a constant diffusion coefficient. We prove that, as long as the deviation is below an explicit threshold, a Gaussian-type concentration inequality optimal in terms of the variance holds for the multilevel estimator. To do so, we use the Clark-Ocone representation formula and derive bounds for the moment generating functions of the Squared Difference between a crude Euler scheme and a finer one and of the Squared Difference of their Malliavin derivatives.
Michael Ratz - One of the best experts on this subject based on the ideXlab platform.
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the lma solution from bimaximal lepton mixing at the gut scale by renormalization group running
Physics Letters B, 2002Co-Authors: Stefan Antusch, Joern Kersten, M Lindner, Michael RatzAbstract:Abstract We show that in see-saw models with bimaximal lepton mixing at the GUT scale and with zero CP phases, the solar mixing angle θ 12 generically evolves towards sizably smaller values due to renormalization group effects, whereas the evolution of θ 13 and θ 23 is comparatively small. The currently favored LMA solution of the solar neutrino problem can thus be obtained in a natural way from bimaximal mixing at the GUT scale. We present numerical examples for the evolution of the leptonic mixing angles in the Standard Model and the MSSM, in which the current best-fit values of the LMA mixing angles are produced. These include a case where the mass eigenstates corresponding to the solar mass Squared Difference have opposite CP parity.
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the lma solution from bimaximal lepton mixing at the gut scale by renormalization group running
arXiv: High Energy Physics - Phenomenology, 2002Co-Authors: Stefan Antusch, Joern Kersten, M Lindner, Michael RatzAbstract:We show that in see-saw models with bimaximal lepton mixing at the GUT scale and with zero CP phases, the solar mixing angle theta_{12} generically evolves towards sizably smaller values due to Renormalization Group effects, whereas the evolution of theta_{13} and theta_{23} is comparatively small. The currently favored LMA solution of the solar neutrino problem can thus be obtained in a natural way from bimaximal mixing at the GUT scale. We present numerical examples for the evolution of the leptonic mixing angles in the Standard Model and the MSSM, in which the current best-fit values of the LMA mixing angles are produced. These include a case where the mass eigenstates corresponding to the solar mass Squared Difference have opposite CP parity.
J Carlson - One of the best experts on this subject based on the ideXlab platform.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference ($|\ensuremath{\delta}{m}^{2}|\ensuremath{\simeq}3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}\text{ }\text{ }{\mathrm{eV}}^{2}$) and values of ${\ensuremath{\theta}}_{13}$ allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the ``bi-polar'' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of $r$-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
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simulation of coherent nonlinear neutrino flavor transformation in the supernova environment correlated neutrino trajectories
Physical Review D, 2006Co-Authors: Huaiyu Duan, George M Fuller, J Carlson, Yongzhong QianAbstract:We present results of large-scale numerical simulations of the evolution of neutrino and antineutrino flavors in the region above the late-time post-supernova-explosion proto-neutron star. Our calculations are the first to allow explicit flavor evolution histories on different neutrino trajectories and to self-consistently couple flavor development on these trajectories through forward scattering-induced quantum coupling. Employing the atmospheric-scale neutrino mass-Squared Difference (vertical bar {delta}m{sup 2} vertical bar {approx_equal}3x10{sup -3} eV{sup 2}) and values of {theta}{sub 13} allowed by current bounds, we find transformation of neutrino and antineutrino flavors over broad ranges of energy and luminosity in roughly the 'bi-polar' collective mode. We find that this large-scale flavor conversion, largely driven by the flavor off-diagonal neutrino-neutrino forward scattering potential, sets in much closer to the proto-neutron star than simple estimates based on flavor-diagonal potentials and Mikheyev-Smirnov-Wolfenstein evolution would indicate. In turn, this suggests that models of r-process nucleosynthesis sited in the neutrino-driven wind could be affected substantially by active-active neutrino flavor mixing, even with the small measured neutrino mass-Squared Differences.
