Finite Unified Theories and the prediction of the Higgs mass

2007 ◽  
Vol 22 (31) ◽  
pp. 6057-6070 ◽  
Author(s):  
MYRIAM MONDRAGON ◽  
GEORGE ZOUPANOS
Keyword(s):  
Higgs Mass ◽  
Boson Mass ◽  
Drastic Reduction ◽  
Remarkable Property ◽  
Yukawa Couplings ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Free Parameters ◽  
Soft Supersymmetry Breaking

Finite Unified Theories (FUTs) are N =1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the gauge and Yukawa couplings and in the soft supersymmetry breaking sector. This remarkable property, based on the reduction of couplings at the quantum level, provides a drastic reduction in the number of free parameters, which in turn leads to predictions for the top and bottom quark masses, as well as predictions for the Higgs boson mass and the supersymmetric spectrum. Here we examine the predictions of two SU(5) FUTs, taking into account a number of theoretical and experimental constraints. We show how the phenomenological constraints can discriminate among the two models, and we give also the above mentioned predictions for the model that complies with all the constraints.

scholarly journals The LHC Higgs boson discovery: Implications for Finite Unified Theories

2014 ◽  
Vol 29 (18) ◽  
pp. 1430032 ◽  
Author(s):  
S. Heinemeyer ◽  
M. Mondragón ◽  
G. Zoupanos
Keyword(s):  
Higgs Boson ◽  
Predictive Power ◽  
Low Energy ◽  
Boson Mass ◽  
Higgs Boson Mass ◽  
Light Higgs Boson ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Discovery Potential

Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories (GUTs) which can be made finite to all-loop orders, based on the principle of reduction of couplings, and therefore are provided with a large predictive power. We confront the predictions of an SU(5) FUT with the top and bottom quark masses and other low-energy experimental constraints, resulting in a relatively heavy SUSY spectrum, naturally consistent with the nonobservation of those particles at the LHC. The light Higgs boson mass is automatically predicted in the range compatible with the Higgs discovery at the LHC. Requiring a light Higgs boson mass in the precise range of Mh= 125.6 ±2.1 GeV favors the lower part of the allowed spectrum, resulting in clear predictions for the discovery potential at current and future pp, as well as future e+e-colliders.

Water, Water, Here and There

2018 ◽  
Author(s):  
Steven E. Vigdor
Keyword(s):  
Quark Mass ◽  
Mass Difference ◽  
Baryon Number ◽  
Electroweak Phase Transition ◽  
Hydrogen Burning ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
Down Quark ◽  
Unified Theories ◽  
The Stability

Chapter 4 deals with the stability of the proton, hence of hydrogen, and how to reconcile that stability with the baryon number nonconservation (or baryon conservation) needed to establish a matter–antimatter imbalance in the infant universe. Sakharov’s three conditions for establishing a matter–antimatter imbalance are presented. Grand unified theories and experimental searches for proton decay are described. The concept of spontaneous symmetry breaking is introduced in describing the electroweak phase transition in the infant universe. That transition is treated as the potential site for introducing the imbalance between quarks and antiquarks, via either baryogenesis or leptogenesis models. The up–down quark mass difference is presented as essential for providing the stability of hydrogen and of the deuteron, which serves as a crucial stepping stone in stellar hydrogen-burning reactions that generate the energy and elements needed for life. Constraints on quark masses from lattice QCD calculations and violations of chiral symmetry are discussed.

NUMERICAL REEXAMINATION OF SUPERSYMMETRIC AND NONSUPERSYMMETRIC SU(5)-LIKE GRAND UNIFIED MODELS

1989 ◽  
Vol 04 (10) ◽  
pp. 2531-2559 ◽  
Author(s):  
DARIUSZ K. GRECH
Keyword(s):  
Numerical Analysis ◽  
Numerical Computation ◽  
Numerical Results ◽  
Yukawa Couplings ◽  
Loop Level ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Supersymmetric Particles ◽  
The Difference

The significance of numerical analysis in both nonsupersymmetric and supersymmetric Grand Unified Theories is pointed out. The exact analytical and numerical analysis we present shows a need of larger corrections to the values of unifying parameters, i.e. sin 2 θw, Mx, τp than those often quoted in literature. When an unmodified nonsupersymmetric version of SU(5) is considered we show that numerical computation allows some of the models still to be experimentally admissible. The difference between analytical and numerical results for the supersymmetric SU(5) model is also stressed. In particular, corrections due to the mass threshold of additional generations or supersymmetric particles are calculated both analytically and numerically at the two-loop level. We found them far more important for the final values of sin 2 θw, Mx and τp than the effects of Higgs-Yukawa couplings between scalars and fermions.

scholarly journals A NEW ANSATZ FOR QUARK AND LEPTON MASS MATRICES

1992 ◽  
Vol 07 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
GIAN F. GIUDICE
Keyword(s):  
Vacuum Expectation ◽  
Cabibbo Angle ◽  
Expectation Values ◽  
Higgs Vacuum ◽  
Grand Unified Theories ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Unified Theories ◽  
Free Parameters ◽  
Good Agreement

A new ansatz for quark and lepton mass matrices is proposed in the context of supersymmetric grand unified theories. The 13 parameters describing fermion masses and mixings are determined in terms of only 6 free parameters, allowing 7 testable predictions. The values of Vus, Vcb, Vub, mu, md, ms and mb are then predicted as a function of the 3 charged lepton masses, mc, mt and tan β, the ratio of Higgs vacuum expectation values. In particular the Cabibbo angle and ms/md are determined in terms of only lepton masses. All predictions are in very good agreement with experiments.

Top-quark and Higgs-boson mass bounds from a numerical study of supersymmetric grand unified theories

1991 ◽  
Vol 67 (21) ◽  
pp. 2933-2936 ◽  
Author(s):  
Haukur Arason ◽  
Diego Castao ◽  
Bettina Keszthelyi ◽  
Samuel Mikaelian ◽  
Eric Piard ◽  
...  
Keyword(s):  
Higgs Boson ◽  
Top Quark ◽  
Numerical Study ◽  
Boson Mass ◽  
Higgs Boson Mass ◽  
Grand Unified Theories ◽  
Unified Theories

From the standard model to grand unification

1982 ◽  
Vol 304 (1482) ◽  
pp. 69-86 ◽  
Keyword(s):  
Structure Constant ◽  
Fine Structure Constant ◽  
Grand Unification ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
The Standard Model ◽  
Unified Theories ◽  
Order Of Magnitude ◽  
Near Future ◽  
The Universe

This paper reviews the limitations o f the standard SU (3) x SU (2) x U (l) model and develops the philosophy of grand unification. Some simple grand unified theories are presented, and calculations made of the order of magnitude of the fine-structure constant a, as well as of sin 2 0 W and some quark masses. Predictions for nucleon decay and neutrino masses are then discussed; they may be observable in the near future. It is suggested that grand unified theories complex enough for the understanding of the baryon asymmetry of the Universe may also predict a neutron electric dipole moment large enough to be measured. Finally, some inadequacies of GUTs are mentioned.

scholarly journals Supersymmetric grand unified theories: Two-loop evolution of gauge and Yukawa couplings

1993 ◽  
Vol 47 (3) ◽  
pp. 1093-1113 ◽  
Author(s):  
V. Barger ◽  
M. S. Berger ◽  
P. Ohmann
Keyword(s):  
Yukawa Couplings ◽  
Grand Unified Theories ◽  
Unified Theories

scholarly journals A PARTICULAR CLASS OF GUTS WITH VANISHING ONE-LOOP BETA FUNCTIONS

1994 ◽  
Vol 09 (32) ◽  
pp. 5791-5800
Author(s):  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL
Keyword(s):  
Renormalization Group ◽  
Explicit Solution ◽  
Coupling Constants ◽  
Scalar Boson ◽  
Finiteness Conditions ◽  
Yukawa Couplings ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
The One

By explicit solution of the one-loop finiteness conditions for gauge and quartic scalar-boson self-interaction coupling constants, a particular class of grand unified theories with vanishing Yukawa couplings as well as vanishing one-loop renormalization-group beta functions is constructed.

scholarly journals INFRARED QUASI FIXED POINTS AND MASS PREDICTIONS IN THE MSSM II: LARGE tan β SCENARIO

1999 ◽  
Vol 14 (10n11) ◽  
pp. 671-687 ◽  
Author(s):  
M. JURČIŠIN ◽  
D. I. KAZAKOV
Keyword(s):  
Fixed Points ◽  
Z Boson ◽  
Free Parameter ◽  
Higgs Bosons ◽  
Boson Mass ◽  
Higgs Boson Mass ◽  
Gluino Mass ◽  
Yukawa Couplings ◽  
Renormalization Group Equations ◽  
Soft Supersymmetry Breaking

We consider the infrared quasi fixed point solutions of the renormalization group equations for the Yukawa couplings and soft supersymmetry breaking parameters in the MSSM in the large tan β regime. The existence of ir quasi fixed points together with the values of gauge couplings, third generation quarks, lepton and Z-boson masses allows one to predict masses of the Higgs bosons and SUSY particles as functions of the only free parameter, m1/2, or the gluino mass. The lightest Higgs boson mass for M SUSY ≈1 TeV is found to be mh=128.2-0.4-7.1± 5 GeV for μ>0 and mh= 120.6-0.1-3.8±5 GeV for μ<0.

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