Y. Takanishi

Baryogenesis via lepton number violation in anti-GUT model

We study the baryogenesis via lepton number violation in the model of Anti-GUT. The origin of the baryogenesis is the existence of right-handed Majorana neutrinos which decay in a C, CP and lepton number violation way. The baryon number asymmetry is calculated in the extended Anti-GUT model which is only able to predict order of magnitude-wise. We predicted baryon number to entropy ratio, Y_B=1.46{+5.87\atop-1.17}\times10^{-11}, and this result agrees with experimental values very well.Abstract We study the baryogenesis via lepton number violation in the model of Anti-GUT. The origin of the baryogenesis is the existence of right-handed Majorana neutrinos which decay in a C, CP and lepton number violation way. The baryon number asymmetry is calculated in the extended Anti-GUT model which is only able to predict order of magnitude-wise. We predicted baryon number to entropy ratio, Y B =1.46 +5.87 −1.17 ×10 −11 , and this result agrees with experimental values very well.

Standard model Higgs boson mass from borderline metastability of the vacuum

We study imposing the condition that the standard model effective Higgs potential should have two approximately degenerate vacua, such that the vacuum we live in is just barely metastable: the one in which we live has a vacuum expectation value of 246 GeV and the other one should have a vacuum expectation value of the order of the Planck scale. Alone borderline metastability gives, using the experimental top quark mass 173.1+or-4.6 GeV, the Higgs boson mass prediction 121.8+or-11 GeV. The requirement that the second minimum be at the Planck scale already gave the prediction 173+or-4 GeV for the top quark mass according to our 1995 paper.

Family replicated gauge groups and large mixing angle solar neutrino solution

Abstract We present a modification of our previous family replicated gauge group model, which now generates the Large Mixing Angle MSW solution rather than the experimentally disfavoured Small Mixing Angle MSW solution to the solar neutrino oscillation problem. The model is based on each family of quarks and leptons having its own set of gauge fields, each containing a replica of the Standard Model gauge fields plus a ( B − L )-coupled gauge field. By a careful choice of the Higgs field gauge quantum numbers, we avoid our previous prediction that the solar neutrino mixing angle is equal order of magnitudewise to the Cabibbo angle, replacing it and the well-known Fritzsch relation with the relation θ c ∼(θ ⊙ ) −1/3 (m d /m s ) 2/3 . At the same time we retain a phenomenologically successful structure for the charged quark and lepton mass matrices. A fit of all the seventeen quark–lepton mass and mixing angle observables, using just six new Higgs field vacuum expectation values, agrees with the experimental data within the theoretically expected uncertainty of about 64%, i.e., it fits perfectly order of magnitudewise.

Baryogenesis via Lepton Number Violation and Family Replicated Gauge Group

Abstract We developed a previous model fitting all quark and lepton—including neutrino quantities in the region of the Large Mixing Angle-MSW solar solution—order of magnitudewise by only six adjustable parameters (Higgs vacuum expectation values) to also give an agreeing prediction for the amount of baryogenesis produced in the early time of cosmology. We use Fukugita–Yanagida scheme and take into account now also the effect of the remormalisation equation for the Dirac neutrino sector from Planck scale to the see-saw scale. The present version of our model with many approximately conserved (gauge) charges distinguishing various left- and right-Weyl particles has the largest matrix element of the mass matrix for the three flavour see-saw neutrinos being the off-diagonal elements associated with the second- and third-proto-flavour and gives the ratio of baryon number density to the entropy density to 2.59+17.0−2.25×10−11 which agrees perfectly well as do also all the fermion masses and their mixing angles order of magnitudewise.We developed a previous model fitting all quark and lepton -- including neutrino quantities in the region of the Large Mixing Angle-MSW solar solution -- order of magnitudewise by only six adjustable parameters (Higgs vacuum expectation values) to also give an agreeing prediction for the amount of baryogenesis produced in the early time of cosmology. We use Fukugita-Yanagida scheme and take into account now also the effect of the remormalisation equation for the Dirac neutrino sector from Planck scale to the see-saw scale. The present version of our model with many approximately conserved (gauge) charges distinguishing various left- and right-Weyl particles has the largest matrix element of the mass matrix for the three flavour see-saw neutrinos being the off-diagonal elements associated with the second- and third-proto-flavour and gives the ratio of baryon number density to the entropy density to 2.59{+17.0\atop-2.25}\times 10^{-11} which agrees perfectly well as do also all the fermion masses and their mixing angles order of magnitudewise.

Five adjustable parameter fit of quark and lepton masses and mixings

We develop a model of ours fitting the quark and lepton masses and mixing angles by removing from the model a Higgs field previously introduced to organise a large atmospheric mixing angle for neutrino oscillations. Due to the off-diagonal elements dominating in the seesaw neutrino mass matrix the large atmospheric mixing angle comes essentially by itself. It turns out that we have now only five adjustable Higgs field vacuum expectation values needed to fit all the masses and mixings order of magnitudewise taking into account the renormalisation group runnings in all sectors. The CHOOZ angle comes out close to the experimental bound.

Neutrino mass matrix suppression by Abelian charges with see-saw mechanism

We have investigated a neutrino mass matrix model without supersymmetry including three see-saw right-handed neutrinos around order

Neutrino mass matrix in Anti-GUT with see-saw mechanism

10^{12}

A Neutrino Mass Matrix Model with Many Quantum Charges and No SUSY

GeV masses, aiming at a picture with all small numbers explained as being due to approximately conserved gauge charges. The prediction of the solar neutrino mixing angle is given by

Family Replicated Fit of All Quark and Lepton Masses and Mixings

\sin^22\theta_{\odot}= 3 {+3\atop -2}\times10^{-2}

Family Replicated Calculation of Baryogenesis

; in fact, the solar mixing angle is, apart from detailed order unity corrections, equal to the Cabibbo angle. Furthermore the ratio of the solar neutrino mass square difference to that for the atmospheric neutrino oscillation is predicted to