scholarly journals Twin modular S4 with SU(5) GUT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Stephen F. King ◽  
Ye-Ling Zhou

Abstract We discuss the SU(5) grand unified extension of flavour models with multiple modular symmetries. The proposed model involves two modular S4 groups, one acting in the charged fermion sector, associated with a modulus field value τT with residual $$ {Z}_3^T $$ Z 3 T symmetry, and one acting in the right-handed neutrino sector, associated with another modulus field value τSU with residual $$ {Z}_2^{SU} $$ Z 2 SU symmetry. Quark and lepton mass hierarchies are naturally generated with the help of weightons, which are SM singlet fields, where their non-zero modular weights play the role of Froggatt-Nielsen charges. The model predicts TM1 lepton mixing, and neutrinoless double beta decay at rates close to the sensitivity of current and future experiments, for both normal and inverted orderings, with suppressed corrections from charged lepton mixing due to the triangular form of its Yukawa matrix.

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Shu-Jun Rong

Lepton mixing patterns from the modular group PSL2(7) with generalized CP symmetries are studied. The residual symmetries in both charged lepton and neutrino sectors are Z2×CP. Seven types of mixing patterns at the 3σ level of the new global fit data are obtained. Among these patterns, three types of patterns can give the Dirac CP phase which is in the 1σ range of the global fit data. The effective mass of neutrinoless double-beta decay for these patterns is also examined.


2016 ◽  
Vol 25 (10) ◽  
pp. 1650081
Author(s):  
Osvaldo Civitarese ◽  
Jouni Suhonen ◽  
Kai Zuber

From the recently established lower-limits on the nonobservability of the neutrinoless double-beta decay of [Formula: see text]Ge (GERDA collaboration) and [Formula: see text]Xe (EXO-200 and KamLAND-Zen collaborations), combined with the ATLAS and CMS data, we extract limits for the left–right (LR) mixing angle, [Formula: see text], of the [Formula: see text] electroweak Hamiltonian. For the theoretical analysis, which is a model dependent, we have adopted a minimal extension of the Standard Model (SM) of Electroweak Interactions belonging to the [Formula: see text] representation. The nuclear-structure input of the analysis consists of a set of matrix elements and phase-space factors, and the experimental lower-limits for the half-lives. The other input are the ATLAS and CMS cross-section measurements of the [Formula: see text]-collisions into two-jets and two-leptons, performed at the large hadron collider (LHC). Our analysis yields the limit [Formula: see text] for [Formula: see text], by combining the model-dependent limits extracted from the double-beta-decay measurements and those extracted from the results of the CMS and ATLAS measurements.


2011 ◽  
Vol 26 (09) ◽  
pp. 1469-1491 ◽  
Author(s):  
GORAN SENJANOVIĆ

I argue that LHC may shed light on the nature of neutrino mass through the probe of the seesaw mechanism. The smoking gun signature is lepton number violation through the production of same sign lepton pairs, a collider analogy of the neutrinoless double beta decay. I discuss this in the context of left–right symmetric theories, which led originally to neutrino mass and the seesaw mechanism. A WR gauge boson with a mass in a few TeV region could easily dominate neutrinoless double beta decay, and its discovery at LHC would have spectacular signatures of parity restoration and lepton number violation. Moreover, LHC can measure the masses of the right-handed neutrinos and the right-handed leptonic mixing matrix, which could in turn be used to predict the rates for neutrinoless double decay and lepton flavor violating violating processes. The LR scale at the LHC energies offers great hope of observing these low energy processes in the present and upcoming experiments.


2011 ◽  
Author(s):  
R. Chandra ◽  
K. Chaturvedi ◽  
P. K. Rath ◽  
P. K. Raina ◽  
S. K. Singh ◽  
...  

1985 ◽  
Vol 158 (2) ◽  
pp. 164-169 ◽  
Author(s):  
M. Doi ◽  
T. Kotani ◽  
E. Takasugi

1984 ◽  
Vol 149 (1-3) ◽  
pp. 217-220 ◽  
Author(s):  
K. Enqvist ◽  
J. Maalampi ◽  
K. Mursula

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