arXiv 0806.02262008-06-02hep-ph

Nearly Invariance of Jarlskog Determinant due to Planck Scale Effects

Bipin Singh Koranga

备注：: 5 pages

英文摘要：

An asymmetry between the probabilities P(ν_μ\toν_{e}) and P(\bar{ν_μ}\to\bar{ν_{e}}) would be direct indication of CP violation at the fundamental level. Planck scale effects on neutrino mixing, we have derived the mixing angles of neutrino flavour due to Planck scale effects. It has been shown that Jarlskog determinant remains nearly invariant due to Planck scale effects.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

New Jarlskog determinant from Physics above the GUT Scal

We study the Planck scale effects on Jarlskog determinant. Quantum gravitational (Planck scale) effects lead to an effective SU(2)_{L}\times U(1) invariant dimension-5 Lagrangian involving neutrino and Higgs fields, which gives rise to additional terms in neutrino mass matrix on electroweak symmetry breaking. We assume that gravitational interaction is flavor blind and compute the Jarlskog determinant due to the Planck scale effects. In the case of neutrino sector, the strength of CP violation is measured by Jarlskog determinant. In this paper, we assume CP violation arise from Planck scale ef…

2007-04-13hep-ph

Jarlskog determinant and data on flavor matrices

The essences of the weak CP violation, the quark and lepton Jarlskog invariants, are determined toward future model buildings beyond the Standard Model (SM). The equivalence of two calculations of Jarlskog invariants gives a bound on the CP phase in some parametrization. Satisfying the unitarity condition, we obtain the CKM and MNS matrices from the experimental data, and present the results in matrix forms. The Jarlskog determinant $J^q$ in the quark sector is found to be $\sim 3.11\times 10^{-5}|\sin\delks|$ while $J^\ell$ in the leptonic sector is $\sim 2.96\times 10^{-2}|\sin\delksl|$ in t…

2019-12-23hep-ph

Flavor physics and Jarlskog determinant

The flavor problem is reviewed starting with the chiral symmetry, and the $A_4$ symmetry derivation and its realization in GUTs are presented.

2020-02-28hep-ph

CP and T Violation in Neutrino Oscillations and Invariance of Jarlskog's Determinant to Matter Effects

Terrestrial matter effects in neutrino propagation are T-invariant, so that any observed T violation when neutrinos pass through the Earth, such as an asymmetry between the transition probabilities P(nu_mu -> nu_e) and P(nu_e -> nu_mu), would be a direct indication of T violation at the fundamental level. Matter effects do however modify the magnitudes of T-violating asymmetries, and it has long been known that resonant enhancement can lead to large effects for a range of plausible values of the relevant parameters. We note that the determinant of the commutator of the lepton mass matrices is …

1999-12-21hep-ph

A simple expression of the Jarlskog determinant

Making the whole determinant of the CKM matrix V real, the imaginary part of any one term of the determinant of V (e. g. |Im V_{31}V_{22}V_{13}|) is the Jarlskog determinant J. We also point out that the maximality of the weak CP violation is a physical statement

2012-01-14hep-exhep-phmath-ph

Covariant Extremisation of Flavour-Symmetric Jarlskog Invariants and the Neutrino Mixing Matrix

We examine the possibility that the form of the lepton mixing matrix can be determined by extremising the Jarlskog flavour invariants associated, eg. with the commutator ($C$) of the lepton mass matrices. Introducing a strictly covariant approach, keeping masses fixed and extremising the determinant (Tr $C^3/3$) leads to maximal CP violation, while extremising the sum of the $2 \times 2$ principal minors ($-{\rm Tr} C^2/2$), leads to a non-trivial mixing with zero CP violation. Extremising, by way of example, a general linear combination of two CP-symmetric invariants together, we show that ou…

2005-09-06hep-ph

更多相关论文收起更多论文

Neutrino Matter Effect Invariants and the Observables of Neutrino Oscillations

We generalise our previous observation on the invariance of the Jarlskog determinant to matter effects in neutrino oscillations. Within the context of standard neutrino oscillation theory with matter effects, we present the complete set of (five) matter invariant observables for neutrino propagation in matter. We give some examples of their application.

2002-04-29hep-ph

CP violation in neutrino oscillation and leptogenesis

We study the correlation between CP violation in neutrino oscillations and leptogenesis in the framework with two heavy Majorana neutrinos and three light neutrinos. Among three unremovable CP phases, a heavy Majorana phase contributes to leptogenesis. We show how the heavy Majorana phase contributes to Jarlskog determinant $J$ as well as neutrinoless double $β$ decay by identifying a low energy CP violating phase which signals the CP violating phase for leptogenesis. For some specific cases of the Dirac mass term of neutrinos, a direct relation between lepton number asymmetry and $J$ is obtai…

2002-09-03hep-ph

Tribimaximal Mixing in the $SU(5) \times \mathcal{T}_{13}$ Texture

We extend the recently proposed $SU(5) \times \mathcal{T}_{13}$ model for the asymmetric texture to the up-type quark and seesaw sectors. The hierarchical up-type quark masses are generated from higher-dimensional operators involving family-singlet Higgses, gauge-singlet familons, and vectorlike messengers. The complex-tribimaximal (TBM) seesaw mixing arises from the vacuum structure of a minimal number of familons, resulting in an alignment between the Yukawa and Majorana matrices of the seesaw formula. Introducing four right-handed neutrinos, normal ordering of the light neutrino masses is o…

2020-04-12hep-ph

基于Δ(27)群的中微子质量与混合对μ-τ对称性的偏离

Deviations from $μ$-$τ$ symmetry using $Δ$(27) group on neutrino masses and mixings

本研究构建基于Δ(27)离散味对称性的I型跷跷板中微子质量模型，通过扩展标准模型粒子内容实现μ-τ对称性偏离，其振荡参数、质量和与实验及宇宙学数据吻合，并给出两类质量等级下的有效质量、CP破坏及重子不对称度预言。

2023-12-18hep-ph

Effects of Mass Varying Neutrinos on Cosmological Parameters as determined from the Cosmic Microwave Background

In models with a light scalar field (the `acceleron') coupled to neutrinos, neutrino masses depend on neutrino density. The resulting coupled system of mass varying neutrinos (MaVaNs) and the acceleron can act as a negative pressure fluid and is a candidate for dark energy \cite{Fardon:2003eh} . MaVaNs also allow for higher $Σ$m$_ν$ than terrestrial bounds, giving late forming warm dark matter. In this paper we study the effect of increasing neutrino mass on the CMB spectrum, implementing MaVaNs cosmology using CMBEASY. We find that the CMB spectrum is only affected at very low multipoles. Cos…

2014-05-04astro-ph.COhep-exhep-ph