Parametric Resonance in Neutrino Oscillation: A Guide to Control the Effects of Inhomogeneous Matter Density

Effects of the inhomogeneous matter density on the three-generation neutrino oscillation probability are analyzed. Realistic profile of the matter density is expanded into a Fourier series. Taking in the Fourier modes one by one, we demonstrate that each mode has its corresponding target energy. The high Fourier mode selectively modifies the oscillation probability of the low-energy region. This rule is well described by the parametric resonance between the neutrino oscillation and the matter effect. The Fourier analysis gives a simple guideline to systematically control the uncertainty of the oscillation probability caused by the uncertain density of matter. Precise analysis of the oscillation probability down to the low-energy region requires accurate evaluation of the Fourier coefficients of the matter density up to the corresponding high modes.Comment: 7 pages, 5 eps figure

Peak loops untying the degeneracy of the neutrino parameters

Systematic analysis of the determination of the value of leptonic CP-violating angle delta and the neutrino mass hierarchy sgn(delta m^2_31) by long baseline neutrino oscillation experiments is presented. We note the difficulty to distinguish a pair of oscillation probability spectra that are peaked at the same energy and have the same probability at that energy. We thereby set forth the peak-matching condition as a criterion of the presence of degeneracy, and visualize it by intersections of the trajectories drawn by a peak of an oscillation spectrum while the value of delta is varied from 0 to 2pi. We numerically calculate the pairs of the trajectories for both hierarchies and show that the pair becomes disjoint as the baseline gets longer than a critical length, indicating the matter effect resolving the degeneracy on the hierarchy. We formulate the trajectories into analytic expressions and evaluate the critical length. We provide prospects of the following four approaches of resolving the hierarchy: making the baseline longer than the critical length, using both neutrinos and anti-neutrinos, combining experiments with different baseline lengths, and observing two or more oscillation peaks.Comment: ReVTeX4, 9 pages, 6 Figures. Prepared for the proceedings of "International Workshop on Neutrino Masses and Mixings -- Toward Unified Understanding of Quark and Lepton Mass Matrices --" at University of Shizuoka on December 17-19, 200

An illustration and analysis of the degeneracy in the search for the leptonic CP-violating angle and the neutrino mass hierarchy

Determination of the value of the leptonic CP-violating phase deltaand the neutrino mass hierarchy sgn(dm2_31) through long baselineneutrino oscillation experiments is systematically analyzed. We notethat the two oscillation spectra are difficult to discriminate andlead to the degeneracy when they are peaked at the same energy andhave the same peak probability. The condition of peak-matching istherefore introduced as a criterion for the presence of degeneracy.The matching of peaks is visualized as an intersection of trajectoriestraced by the peak of an oscillation spectrum while the value of deltais varied from 0 to 2pi. We numerically calculate a pair oftrajectories for a pair of hierarchies and examine the degeneracy,especially that concerning the hierarchy. We formulate the trajectoryin terms of analytic expressions and evaluate the critical length,which is shown to be proportional to 1/sin(theta_13). In view of ouranalysis, we discuss future prospects to solve the hierarchydegeneracy with regard to the following four approaches: elongatingthe baseline length sufficiently, using both neutrinos andanti-neutrinos, combining experiments with different baseline lengths,and observing two or more oscillation peaks.Comment: PTPTeX, 23 pages, 11 figures. Minor updates in accordance with the published versio

Leptonic CP Violation Search and the Ambiguity of dm^2_31

We consider a search for the CP-violating angle deltaCP in long baseline neutrino oscillation experiments. We show that the subleading deltaCP-dependent terms in the nu_mu -> nu_e oscillation probability can be easily obscured by the ambiguity of the leading term which depends on |dm^2_31|. It is thus necessary to determine the value of dm^2_31 with a sufficient accuracy. The nu_mu survival events, which can be accumulated simultaneously with the nu_e appearance events, can serve for this purpose owing to its large statistics. Therefore, the combined analysis of nu_e appearance and nu_mu survival events is crucial to provide a restrictive constraint on deltaCP. Taking a test experimental setup, we demonstrate in the deltaCP-dm^2_31 plane that the analysis of nu_e appearance events leads to less restrictive constraints on the value of deltaCP due to the ambiguity of dm^2_31 and that the combined analysis efficiently improves the constraints.Comment: ReVTeX file, 9 pages, 7 figures. Discussions added in Sections 1, 2, and 4; Reference expande

Interoception is associated with the impact of eye contact on spontaneous facial mimicry

自分の身体の中の感覚に気づきやすい人ほど、表情模倣が起こりやすく、他人の視線にも敏感であることを解明. 京都大学プレスリリース. 2020-12-03.Interoception (perception of one’s own physiological state) has been suggested to underpin social cognition, although the mechanisms underlying this association remain unclear. The current study aimed to elucidate the relationship between interoception and two factors underlying social cognition: self-other boundary and sensitivity to social cues. We measured performance in a heartbeat perception task as an index of interoceptive accuracy (IAc), the frequency of spontaneous facial mimicry (SFM) as an index of self-other boundary, and the degree of the effect of eye contact on SFM (difference in SFM between conditions in which models’ eyes were directed to and averted from participants) as an index of social-cue sensitivity, and tested correlations among these measures. The results revealed that IAc and SFM were positively correlated only in the direct gaze condition. The extent of the effect of eye contact on SFM (difference in frequency between direct vs. averted conditions) was positively correlated with IAc. These overall findings were also observed in separate analyses of male and female participant groups, supporting the robustness of the findings. The results suggest that interoception is related to sensitivity to social cues, and may also be related to the self-other boundary with modulation by social context

Supersymmetric Bianchi class A models

The canonical theory of $N=1$ supergravity is applied to Bianchi class A spatially homogeneous cosmologies. The full set of quantum constraints are then solved with the possible ordering ambiguity taken into account by introducing a free parameter. The wave functions are explicitly given for all the Bianchi class A models in a unified way. Some comments are made on the Bianchi type IX cases.Comment: 9 pages, LaTeX, TIT/HEP-221/COSMO-3

Fourier Analysis of the Parametric Resonance in Neutrino Oscillations

Parametric enhancement of the appearance probability of the neutrino oscillation under the inhomogeneous matter is studied. Fourier expansion of the matter density profile leads to a simple resonance condition and manifests that each Fourier mode modifies the energy spectrum of oscillation probability at around the corresponding energy; below the MSW resonance energy, a large-scale variation modifies the spectrum in high energies while a small-scale one does in low energies. In contrast to the simple parametric resonance, the enhancement of the oscillation probability is itself an slow oscillation as demonstrated by a numerical analysis with a single Fourier mode of the matter density. We derive an analytic solution to the evolution equation on the resonance energy, including the expression of frequency of the slow oscillation.Comment: 12 pages, 3 color figures, LaTeX, elsarticle.st

Minor contribution of CYP3A5 to the metabolism of hepatitis C protease inhibitor paritaprevir in vitro

Paritaprevir (PTV) is a non-structural protein 3/4A protease inhibitor developed for the treatment of hepatitis C disease as a fixed dose combination of ombitasvir (OBV) and ritonavir (RTV) with or without dasabuvir. The aim of this study was to evaluate the effects of cytochrome P450 (CYP) 3A5 on in vitro PTV metabolism using human recombinant CYP3A4, CYP3A5 (rCYP3A4, rCYP3A5) and human liver microsomes (HLMs) genotyped as either CYP3A5*1/*1, CYP3A5*1/*3 or CYP3A5*3/*3. The intrinsic clearance (CLint, Vmax/Km) for the production of a metabolite from PTV in rCYP3A4 was 1.5 times higher than that in rCYP3A5. The PTV metabolism in CYP3A5*1/*1 and CYP3A5*1/*3 HLMs expressing CYP3A5 was comparable to that in CYP3A5*3/*3 HLMs, which lack CYP3A5. CYP3A4 expression level was significantly correlated with PTV disappearance rate and metabolite formation. In contrast, there was no such correlation found for CYP3A5 expression level. This study represents that the major CYP isoform involved in PTV metabolism is CYP3A4, with CYP3A5 having a minor role in PTV metabolism. The findings of the present study may provide foundational information on PTV metabolism, and may further support dosing practices in HCV-infected patients prescribed PTV-based therapy

Unintentional interpersonal synchronization represented as a reciprocal visuo-postural feedback system

People's behaviors synchronize. It is difficult, however, to determine whether synchronized behaviors occur in a mutual direction-two individuals influencing one another-or in one direction-one individual leading the other, and what the underlying mechanism for synchronization is. To answer these questions, we hypothesized a non-leader-follower postural sway synchronization, caused by a reciprocal visuo-postural feedback system operating on pairs of individuals, and tested that hypothesis both experimentally and via simulation. In the behavioral experiment, 22 participant pairs stood face to face either 20 or 70 cm away from each other wearing glasses with or without vision blocking lenses. The existence and direction of visual information exchanged between pairs of participants were systematically manipulated. The time series data for the postural sway of these pairs were recorded and analyzed with cross correlation and causality. Results of cross correlation showed that postural sway of paired participants was synchronized, with a shorter time lag when participant pairs could see one another's head motion than when one of the participants was blindfolded. In addition, there was less of a time lag in the observed synchronization when the distance between participant pairs was smaller. As for the causality analysis, noise contribution ratio (NCR), the measure of influenc