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Yutaro Shoji - One of the best experts on this subject based on the ideXlab platform.
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precise calculation of the Decay Rate of false vacuum with multi field bounce
arXiv: High Energy Physics - Phenomenology, 2020Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:We study the Decay Rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum Decay Rate becomes complicated. We consider the one-loop contribution to the Decay Rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum Decay Rate. We also give proper treatments of gauge zero modes and renormalization.
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Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
Physical Review D, 2018Co-Authors: So Chigusa, Yutaro Shoji, Takeo MoroiAbstract:We perform a precise calculation of the Decay Rate of the electroweak vacuum in the standard model as well as in models beyond the standard model. We use a recently-developed technique to calculate the Decay Rate of a false vacuum, which provides a gauge invariant calculation of the Decay Rate at the one-loop level. We give a prescription to take into account the zero modes in association with translational, dilatational, and gauge symmetries. We calculate the Decay Rate per unit volume, $\gamma$, by using an analytic formula. The Decay Rate of the electroweak vacuum in the standard model is estimated to be $\log_{10}\gamma\times{\rm Gyr~Gpc^3} = -582^{+40~+184~+144~+2}_{-45~-329~-218~-1}$, where the 1st, 2nd, 3rd, and 4th errors are due to the uncertainties of the Higgs mass, the top quark mass, the strong coupling constant and the choice of the renormalization scale, respectively. The analytic formula of the Decay Rate, as well as its fitting formula given in this paper, is also applicable to models that exhibit a classical scale invariance at a high energy scale. As an example, we consider extra fermions that couple to the standard model Higgs boson, and discuss their effects on the Decay Rate of the electroweak vacuum.
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State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model.
Physical review letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:The Decay Rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progress in the understanding of the Decay Rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the Decay Rate. We also perform a detailed numerical calculation of the Decay Rate. With the best-fit values of the SM parameters, we find that the Decay Rate of the EW vacuum per unit volume is about 10^{-554} Gyr^{-1} Gpc^{-3}; with the uncertainty in the top mass, the Decay Rate is estimated as 10^{-284}-10^{-1371} Gyr^{-1} Gpc^{-3}.
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state of the art calculation of the Decay Rate of electroweak vacuum in the standard model
Physical Review Letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:A gauge-invariant calculation of the Decay Rate of the metastable vacuum removes some theoretical uncertainty in the Universe's estimated lifetime.
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on the gauge invariance of the Decay Rate of false vacuum
Physics Letters B, 2017Co-Authors: Motoi Endo, Takeo Moroi, Mihoko M. Nojiri, Yutaro ShojiAbstract:We study the gauge invariance of the Decay Rate of the false vacuum for the model in which the scalar field responsible for the false vacuum Decay has gauge quantum number. In order to calculate the Decay Rate, one should integRate out the field fluctuations around the classical path connecting the false and true vacua (i.e., so-called bounce). Concentrating on the case where the gauge symmetry is broken in the false vacuum, we show a systematic way to perform such an integration and present a manifestly gauge-invariant formula of the Decay Rate of the false vacuum.
Takeo Moroi - One of the best experts on this subject based on the ideXlab platform.
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precise calculation of the Decay Rate of false vacuum with multi field bounce
arXiv: High Energy Physics - Phenomenology, 2020Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:We study the Decay Rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum Decay Rate becomes complicated. We consider the one-loop contribution to the Decay Rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum Decay Rate. We also give proper treatments of gauge zero modes and renormalization.
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Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
Physical Review D, 2018Co-Authors: So Chigusa, Yutaro Shoji, Takeo MoroiAbstract:We perform a precise calculation of the Decay Rate of the electroweak vacuum in the standard model as well as in models beyond the standard model. We use a recently-developed technique to calculate the Decay Rate of a false vacuum, which provides a gauge invariant calculation of the Decay Rate at the one-loop level. We give a prescription to take into account the zero modes in association with translational, dilatational, and gauge symmetries. We calculate the Decay Rate per unit volume, $\gamma$, by using an analytic formula. The Decay Rate of the electroweak vacuum in the standard model is estimated to be $\log_{10}\gamma\times{\rm Gyr~Gpc^3} = -582^{+40~+184~+144~+2}_{-45~-329~-218~-1}$, where the 1st, 2nd, 3rd, and 4th errors are due to the uncertainties of the Higgs mass, the top quark mass, the strong coupling constant and the choice of the renormalization scale, respectively. The analytic formula of the Decay Rate, as well as its fitting formula given in this paper, is also applicable to models that exhibit a classical scale invariance at a high energy scale. As an example, we consider extra fermions that couple to the standard model Higgs boson, and discuss their effects on the Decay Rate of the electroweak vacuum.
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State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model.
Physical review letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:The Decay Rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progress in the understanding of the Decay Rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the Decay Rate. We also perform a detailed numerical calculation of the Decay Rate. With the best-fit values of the SM parameters, we find that the Decay Rate of the EW vacuum per unit volume is about 10^{-554} Gyr^{-1} Gpc^{-3}; with the uncertainty in the top mass, the Decay Rate is estimated as 10^{-284}-10^{-1371} Gyr^{-1} Gpc^{-3}.
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state of the art calculation of the Decay Rate of electroweak vacuum in the standard model
Physical Review Letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:A gauge-invariant calculation of the Decay Rate of the metastable vacuum removes some theoretical uncertainty in the Universe's estimated lifetime.
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on the gauge invariance of the Decay Rate of false vacuum
Physics Letters B, 2017Co-Authors: Motoi Endo, Takeo Moroi, Mihoko M. Nojiri, Yutaro ShojiAbstract:We study the gauge invariance of the Decay Rate of the false vacuum for the model in which the scalar field responsible for the false vacuum Decay has gauge quantum number. In order to calculate the Decay Rate, one should integRate out the field fluctuations around the classical path connecting the false and true vacua (i.e., so-called bounce). Concentrating on the case where the gauge symmetry is broken in the false vacuum, we show a systematic way to perform such an integration and present a manifestly gauge-invariant formula of the Decay Rate of the false vacuum.
So Chigusa - One of the best experts on this subject based on the ideXlab platform.
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precise calculation of the Decay Rate of false vacuum with multi field bounce
arXiv: High Energy Physics - Phenomenology, 2020Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:We study the Decay Rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum Decay Rate becomes complicated. We consider the one-loop contribution to the Decay Rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum Decay Rate. We also give proper treatments of gauge zero modes and renormalization.
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Precise Calculation of the Decay Rate of False Vacuum with Multi-Field Bounce
2020Co-Authors: So Chigusa, Moroi Takeo, Shoji YutaroAbstract:We study the Decay Rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum Decay Rate becomes complicated. We consider the one-loop contribution to the Decay Rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum Decay Rate. We also give proper treatments of gauge zero modes and renormalization.Comment: 68 pages, 1 figur
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Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
Physical Review D, 2018Co-Authors: So Chigusa, Yutaro Shoji, Takeo MoroiAbstract:We perform a precise calculation of the Decay Rate of the electroweak vacuum in the standard model as well as in models beyond the standard model. We use a recently-developed technique to calculate the Decay Rate of a false vacuum, which provides a gauge invariant calculation of the Decay Rate at the one-loop level. We give a prescription to take into account the zero modes in association with translational, dilatational, and gauge symmetries. We calculate the Decay Rate per unit volume, $\gamma$, by using an analytic formula. The Decay Rate of the electroweak vacuum in the standard model is estimated to be $\log_{10}\gamma\times{\rm Gyr~Gpc^3} = -582^{+40~+184~+144~+2}_{-45~-329~-218~-1}$, where the 1st, 2nd, 3rd, and 4th errors are due to the uncertainties of the Higgs mass, the top quark mass, the strong coupling constant and the choice of the renormalization scale, respectively. The analytic formula of the Decay Rate, as well as its fitting formula given in this paper, is also applicable to models that exhibit a classical scale invariance at a high energy scale. As an example, we consider extra fermions that couple to the standard model Higgs boson, and discuss their effects on the Decay Rate of the electroweak vacuum.
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State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model.
Physical review letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:The Decay Rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progress in the understanding of the Decay Rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the Decay Rate. We also perform a detailed numerical calculation of the Decay Rate. With the best-fit values of the SM parameters, we find that the Decay Rate of the EW vacuum per unit volume is about 10^{-554} Gyr^{-1} Gpc^{-3}; with the uncertainty in the top mass, the Decay Rate is estimated as 10^{-284}-10^{-1371} Gyr^{-1} Gpc^{-3}.
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state of the art calculation of the Decay Rate of electroweak vacuum in the standard model
Physical Review Letters, 2017Co-Authors: So Chigusa, Takeo Moroi, Yutaro ShojiAbstract:A gauge-invariant calculation of the Decay Rate of the metastable vacuum removes some theoretical uncertainty in the Universe's estimated lifetime.
R Menegazzo - One of the best experts on this subject based on the ideXlab platform.
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search for correlations between solar flares and Decay Rate of radioactive nuclei
Physics Letters B, 2013Co-Authors: E Bellotti, C Broggini, G Di Carlo, M Laubenstein, R MenegazzoAbstract:Abstract The Decay Rate of three different radioactive sources ( 40 K, 137 Cs and nat Th) has been measured with NaI and Ge detectors. Data have been analyzed to search for possible variations in coincidence with the two strongest solar flares of the years 2011 and 2012. No significant deviations from standard expectation have been observed, with a few 10 −4 sensitivity. As a consequence, we could not find any effect like that recently reported by Jenkins and Fischbach: a few per mil decrease in the Decay Rate of 54 Mn during solar flares in December 2006.
Zhan Shu - One of the best experts on this subject based on the ideXlab platform.
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Stabilisation of stochastic systems with optimal Decay Rate
IET Control Theory & Applications, 2008Co-Authors: Jun-e Feng, James Lam, Zhan ShuAbstract:The authors deal with the problem of exponential stabilisation for continuous-time stochastic systems. Several equivalent characterisations are presented for exponential stability of continuous-time stochastic systems. The relationship between Decay Rate and the spectral abscissa of an operator associated with a stochastic system is investigated. On the basis of this relationship, optimal controllers are designed for continuous-time stochastic systems. Finally, an example is provided to illustRate the method.
