scholarly journals Quark and lepton mass matrices in the SO(10) grand unified theory with generation flipping

2000 ◽  
Vol 61 (9) ◽  
Author(s):  
Yasunori Nomura ◽  
Takashi Sugimoto
Keyword(s):  
Unified Theory ◽  
Grand Unified Theory ◽  
Mass Matrices

scholarly journals Modular $S_3$-invariant flavor model in SU(5) grand unified theory

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Yusuke Shimizu ◽  
Kenta Takagi ◽  
Morimitsu Tanimoto ◽  
Takuya H. Tatsuishi
Keyword(s):  
Modular Forms ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Double Beta Decay ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Mass Matrices ◽  
Charge Parity ◽  
Charged Leptons ◽  
Leptonic Charge

Abstract We present a flavor model with $S_3$ modular invariance in the framework of SU(5) grand unified theory (GUT). The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices with a common complex parameter, the modulus $\tau$. The GUT relation of down-type quarks and charged leptons is imposed by the vacuum expectation value (VEV) of the adjoint 24-dimensional Higgs multiplet in addition to the VEVs of $5$ and $\bar 5$ Higgs multiplets of SU(5). The observed Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata mixing parameters as well as the mass eigenvalues are reproduced properly. We discuss the leptonic charge–parity phase and the effective mass of the neutrinoless double beta decay with the sum of neutrino masses.

IMPLICATIONS OF "4 TEXTURE ZEROS" MASS MATRICES BASED ON G × SU(3)fam

1996 ◽  
Vol 11 (27) ◽  
pp. 4805-4814
Author(s):  
P. S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Phenomenological Models ◽  
Present Model ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Specific Mass ◽  
Family Symmetry ◽  
Ckm Matrix ◽  
Mass Matrices

Texture specific mass matrices generated from the grand unified theory with global family symmetry, have been investigated in the context of latest data regarding [Formula: see text], |Vub|, |Vcb|, |Vtd|, |Vts| and other parameters depending on CKM matrix elements. Unlike several other phenomenological models, the present model not only accommodates the value of [Formula: see text] in the range 150–240 GeV, encompassing the CDF and D0 values, but is also able to reproduce |Vcb| = .038 ± .003 and |Vub/Vcb| = 0.08 ± 0.02, whereas |Vtd| is predicted in the range .005–.014. Further, the angles of the unitarity triangle, related to the CP-violating asymmetries, are in the ranges -1.0 ≤ sin 2α ≤ -.1, .6 ≤ sin 2α ≤ 1.0 and .48 ≤ sin 2β ≤ .56, in agreement with other recent calculations.

Deep in the Bones Lie Memories and Hopes: A Grand Unified Theory

2021 ◽  
Vol 51 (1) ◽  
pp. 22-30
Author(s):  
Daniel P. McCarthy
Keyword(s):  
Unified Theory ◽  
Grand Unified Theory ◽  
Hagia Sophia ◽  
The Sacrifice

Christ’s bones are missing at the Holy Sepulchre; St Peter’s bones remain in his basilica; Hagia Sophia was not built on bones. The absence, presence, or lack of bones effects different emphases on memory (anamnesis) and fulfillment (eschatology). In Jerusalem we witness our future glory (eschatology) already revealed in our history (anamnesis); in Rome we recall (anamnesis) the sacrifice of martyrs whose bones remain until the general resurrection (eschatology), even while we venerate the saints in light; at Hagia Sophia liturgy itself, rather than bones, provides the context for remembering the whole Christ in the power of the Spirit. Celebrating liturgy over the bones of martyrs in Rome, while venerating their sacrifice, may have accentuated the sacrificial character of the eucharistic liturgy in the Christian west, whereas in the Christian east the eschatological glory already revealed in our history and in liturgy may have shaped the eschatological character of liturgy.

scholarly journals Impaired prohormone processing: a grand unified theory for features of Prader-Willi syndrome?

2016 ◽  
Vol 127 (1) ◽  
pp. 98-99 ◽  
Author(s):  
Joseph Polex-Wolf ◽  
Giles S.H. Yeo ◽  
Stephen O’Rahilly
Keyword(s):  
Prader Willi Syndrome ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Prohormone Processing
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