scholarly journals CP SYMMETRY AND FERMION MASSES IN O(10) GRAND UNIFICATION MODELS

1996 ◽  
Vol 11 (34) ◽  
pp. 2703-2713 ◽  
Author(s):  
DAN-DI WU ◽  
YUE-LIANG WU

O(10) grand unification models which do not necessarily have an extra global symmetry are discussed, taking the model with one 10-plet in the Yukawa sector as an example. A strong correlation between mass ratios and CP is found. The mass relation mt/mb=vu/vd is recovered when GW=0; and another special relation mt/mb=GE/GW appears when vd=0, where GE,W are Yukawa coupling constants and vu,d are vevs. To facilitate this discussion, a set of O(10) γ-matrices is offered based on a physical representation of the spinors and that of the vector of the SO(10) group. Flavor changing neutral currents in such models are also discussed.

2007 ◽  
Vol 16 (05) ◽  
pp. 1489-1503 ◽  
Author(s):  
TAKESHI FUKUYAMA ◽  
TATSURU KIKUCHI ◽  
NOBUCHIKA OKADA

This talk consists of two parts. In part I we review how the minimal renormalizable supersymmetric SO (10) model, an SO (10) framework with only one 10 and one [Formula: see text] Higgs multiplets in the Yukawa sector, is attractive because of its highly predictive power. Indeed it not only gives a consistent predictions on neutrino oscillation data but also gives reasonable and interesting values for leptogenesis, LFV, muon g - 2, neutrinoless double beta decay etc. However, this model suffers from problems related to running of gauge couplings. The gauge coupling unification may be spoiled due to the presence of Higgs multiplets much lighter than the grand unification (GUT) scale. In addition, the gauge couplings blow up around the GUT scale because of the presence of Higgs multiplets of large representations. In part II we consider the minimal SO (10) model in the warped extra dimension and show a possibility to solve these problems.


2004 ◽  
Vol 19 (07) ◽  
pp. 497-509 ◽  
Author(s):  
J. SANTIAGO

We review the very stringent lower bounds on the string scale that arise from flavor considerations in models with intersecting branes. Despite the absence of a realistic flavor structure at tree level, flavor changing interactions induce a non-trivial pattern of fermion masses and mixing angles when quantum corrections are taken into account. The resulting realistic theory of flavor allows us to constrain, in an unambiguous way, the string scale up to levels difficult to reconcile non-supersymmetric models.


1967 ◽  
Vol 22 (11) ◽  
pp. 1724-1737 ◽  
Author(s):  
Manfred Winnewisser ◽  
Hans Karl Bodenseh

The microwave spectra of unstable, gaseous fulminic acid H12C14N16O and five of its isotopically substituted species have been studied in the frequency range from 10 to 46 GHz. The spectrum of molecules in the ground vibrational state established the linearity of the chain HCNO. The following rotational constants B0 for the ground state were obtained:B0 (H12C14N16O) = 11 469.04 MHz, B0 (H12C14N17O) = 11 151.69 MHz,B0 (D12C14N16O) = 10 292.51 MHz, B0 (H12C14N18O) = 10 865.34 MHz,B0 (H13C14N16O) = 11 091.57 MHz, B0 (D13C14N16O) = 10 011.18 MHz.From these a combined r8- and r0-structure has been evaluated: r(C—H) = (1.027±0.001) A, r(C—N) = (1.161 ± 0.015) A, r(N—O) = (1.207±0.015) A.The rather large uncertainties in the C—N- and N—O-distances are due to the proximity of the N-atom to the center of gravity.It appears to be the first time that, in the same molecule, two different ι-type doublets (Δl=0, AJ= + 1) and their corresponding series of /-type doubling transitions (Al =2, ΔJ = 0), arising from the two degenerate bending modes (υ4=1 and v5=1), have been observed.The analysis of the two ι-type doubling series revealed a marked dependence of the /-type doubling constants q4 and q5 on higher powers of the angular momentum J. This J-dependence was found to be substantially different for the two vibrational modes.The doubling constants given in MHz areq4=23.6722 - (0.6139·10-3) J(J+1) + (0.1417·10-6) [J(J+1)]2-(0199·10-10) [J(J+1)]3,q5=34.6391 - (0.1623·10-3) J(J+1) + (1.00·10-9) [J(J+1)]2.The molecular dipole moment was determined from Stark-effect measurements on the J=0 → 1 transition in the ground state and found to be (3.06 ± 0.15) Debye. The nuclear quadrupole coupling constants for the 14N- and 170-nuclei can be given ase q Q (17O) = — (12.31 ± 0.12) MHz and | e q Q (14N) | ≦ 0.3 MHz.


2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
V. Suryanarayana Mummidi ◽  
Ketan M. Patel

Abstract A non-supersymmetric renormalizable SO(10) model is investigated for its viability in explaining the observed fermion masses and mixing parameters along with the baryon asymmetry produced via thermal leptogenesis. The Yukawa sector of the model consists of complex 10H and $$ {\overline{126}}_H $$ 126 ¯ H scalars with a Peccei-Quinn like symmetry and it leads to strong correlations among the Yukawa couplings of all the standard model fermions including the couplings and masses of the right-handed (RH) neutrinos. The latter implies the necessity to include the second lightest RH neutrino and flavor effects for the precision computation of leptogenesis. We use the most general density matrix equations to calculate the temperature evolution of flavoured leptonic asymmetry. A simplified analytical solution of these equations, applicable to the RH neutrino spectrum predicted in the model, is also obtained which allows one to fit the observed baryon to photon ratio along with the other fermion mass observables in a numerically efficient way. The analytical and numerical solutions are found to be in agreement within a factor of $$ \mathcal{O}(1) $$ O 1 . We find that the successful leptogenesis in this model does not prefer any particular value for leptonic Dirac and Majorana CP phases and the entire range of values of these observables is found to be consistent. The model specifically predicts (a) the lightest neutrino mass $$ {m}_{v_1} $$ m v 1 between 2–8 meV, (b) the effective mass of neutrinoless double beta decay mββ between 4–10 meV, and (c) a particular correlation between the Dirac and one of the Majorana CP phases.


2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Clay Cordova ◽  
Daniel Freed ◽  
Ho Tat Lam ◽  
Nathan Seiberg

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the \thetaθ-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study SU(N)SU(N) and Sp(N)Sp(N) gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the \thetaθ-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.


2012 ◽  
Vol 27 (01) ◽  
pp. 1250005 ◽  
Author(s):  
ABDELHAMID ALBAID

Flavor violating processes in the quark and lepton sectors are investigated within a realistic supersymmetric SO(10)×A4 grand unification model. By employing exotic heavy fermion fields, this model successfully describes various features of the fermion masses and mixings including large neutrino mixings accompanied by small quark mixings. In this model the flavor violation is induced at GUT scale, at which A4 flavor symmetry is broken, as a consequence of the large mixings of the light fermion fields with these exotic heavy fields. The stringent experimental constraint from μ→eγ decay rate necessitates a high degree of degeneracy of the supersymmetry breaking soft scalar masses of the exotic heavy fields and supersymmetric scalar partners of the light fermion fields. The choice of slepton masses of order 1 TeV is found to be consistent with the constraints from branching ratio of μ→eγ and with all other flavor changing neutral current processes being sufficiently suppressed.


1991 ◽  
Vol 06 (40) ◽  
pp. 3697-3704
Author(s):  
J. W. MOFFAT

An eigenvalue equation for the spectrum of lepton and quark is obtained from a truncated set of Tamm-Dancoff integral equations, generated by a four-fermion interaction based on a finite nonlocal quantum field theory. Eigenvalue equations for the meson and baryon mass spectra are also derived and integral equations are proposed for the scattering amplitudes, which can be used to calculate coupling constants in the nonlocal version of the standard model.


2019 ◽  
Vol 34 (34) ◽  
pp. 1950278 ◽  
Author(s):  
Zenrō Hioki ◽  
Kazumasa Ohkuma ◽  
Akira Uejima

Possible nonstandard tuZ and tcZ interactions, which induce flavor-changing neutral-current decays of the top quark, are studied in the effective-Lagrangian framework. The corresponding Lagrangian consists of four kinds of nonstandard couplings coming from [Formula: see text] invariant dimension-6 effective operators. The four coupling constants in each interaction are treated as complex numbers independent of each other and constraints on them are derived by using the present experimental limits of the branching fractions for [Formula: see text] and [Formula: see text] processes. Future improvements of those constraints are also discussed as well as possibilities of measurements of these couplings at the High-Luminosity Large Hadron Collider.


1995 ◽  
Vol 10 (03) ◽  
pp. 227-233 ◽  
Author(s):  
SUBIR MOHAN

We present a model for efficient annihilation of magnetic monopoles which is accomplished by breaking the electromagnetic gauge invariance for an appropriate range of temperature during the radiation dominated epoch of the early universe. Except for the brief period when electromagnetism is broken, the gauge-group symmetry is SU (3)c × SU (2)L × U (1)Y between the grand unification and electroweak transition temperature scales. The model consists of a standard Higgs doublet, a charged singlet and an uncharged singlet, and it is shown to work for a very general set of parameters with none of the scalar coupling constants being, necessarily, either too large or too small. The uncharged singlet can easily give adequately large Majorana mass to the right-handed neutrinos making baryogenesis possible through the decay of heavy right-handed neutrinos and sphaleron interactions.


1984 ◽  
Vol 29 (9) ◽  
pp. 2095-2099
Author(s):  
Gordon J. Aubrecht ◽  
T. Matsuki ◽  
K. Tanaka

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