scholarly journals Spinning no-scale $${\mathcal {F}}$$-SU(5) in the right direction

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Tianjun Li ◽  
James A. Maxin ◽  
Dimitri V. Nanopoulos
Keyword(s):  
Gauge Coupling ◽  
Model Space ◽  
Renormalization Group Equation ◽  
Fine Tuning ◽  
Boson Mass ◽  
Group Equation ◽  
Superstring Theory ◽  
Light Higgs Boson ◽  
Cosmological Data ◽  
The Right

AbstractThe Fermi National Accelerator Laboratory (FNAL) recently announced confirmation of the Brookhaven National Lab (BNL) measurements of the $$g-2$$ g - 2 of the muon that uncovered a discrepancy with the theoretically calculated Standard Model value. We suggest an explanation for the combined BNL+FNAL 4.2$$\sigma $$ σ deviation within the supersymmetric grand unification theory (GUT) model No-Scale $${\mathcal {F}}$$ F -$$SU(5)$$ S U ( 5 ) supplemented with a string derived TeV-scale extra $$10+\overline{10}$$ 10 + 10 ¯ vector-like multiplet and charged vector-like singlet $$(XE,XE^c)$$ ( X E , X E c ) , dubbed flippons. We introduced these vector-like particles into No-Scale Flipped SU(5) many years ago, and as a result, the renormalization group equation (RGE) running was immediately shaped to produce a distinctive and rather beneficial two-stage gauge coupling unification process to avoid the Landau pole and lift unification to the string scale, in addition to contributing through 1-loop to the light Higgs boson mass. The flippons have long stood ready to tackle another challenge, and now do so yet again, where the charged vector-like “lepton”/singlet couples with the muon, the supersymmetric down-type Higgs $$H_d$$ H d , and a singlet S, using a chirality flip to easily accommodate the muonic $$g-2$$ g - 2 discrepancy in No-Scale $${\mathcal {F}}$$ F -$$SU(5)$$ S U ( 5 ) . Considering the phenomenological success of this string derived model over the prior 11 years that remains accommodative of all presently available LHC limits plus all other experimental constraints, including no fine-tuning, and the fact that for the first time a Starobinsky-like inflationary model consistent with all cosmological data was derived from superstring theory in No-Scale Flipped SU(5), we believe it is imperative to reconcile the BNL+FNAL developments within the model space.

scholarly journals The naturalness in the BLMSSM and B-LSSM

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Xing-Xing Dong ◽  
Tai-Fu Feng ◽  
Shu-Min Zhao ◽  
Hai-Bin Zhang
Keyword(s):  
Experimental Data ◽  
Higgs Boson ◽  
Neutrino Mass ◽  
Experimental Results ◽  
Fine Tuning ◽  
Boson Mass ◽  
Higgs Boson Mass ◽  
The Right ◽  
Mass Problems

AbstractIn order to interpret the Higgs boson mass and its decays naturally, we hope to examine the BLMSSM and B-LSSM. In the both models, the right-handed neutrino superfields are introduced to better explain the neutrino mass problems. In this paper, we introduce the fine-tuning to acquire the physical Higgs boson mass. Besides, the method of $$\chi ^2$$ χ 2 analyses will be adopted in the BLMSSM and B-LSSM to fit the experimental data. Therefore, we can obtain the reasonable theoretical values of the Higgs decays and muon $$g-2$$ g - 2 that are in accordance with the experimental results respectively in the BLMSSM and B-LSSM.

scholarly journals Resolving the (g − 2)μ discrepancy with $$ \mathcal{F} $$–SU(5) intersecting D-branes

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Joseph L. Lamborn ◽  
Tianjun Li ◽  
James A. Maxin ◽  
Dimitri V. Nanopoulos
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Model Building ◽  
Rare Decay ◽  
Model Space ◽  
Higgs Sector ◽  
Boson Mass ◽  
Light Higgs Boson ◽  
Brane Model ◽  
Extended Higgs Sector

Abstract A discrepancy between the measured anomalous magnetic moment of the muon (g − 2)μ and computed Standard Model value now stands at a combined 4.2σ following experiments at Brookhaven National Lab (BNL) and the Fermi National Accelerator Laboratory (FNAL). A solution to the disagreement is uncovered in flipped SU(5) with additional TeV-Scale vector-like 10 + $$ \overline{\mathbf{10}} $$ 10 ¯ multiplets and charged singlet derived from local F-Theory, collectively referred to as $$ \mathcal{F} $$ F –SU(5). Here we engage general No-Scale supersymmetry (SUSY) breaking in $$ \mathcal{F} $$ F –SU(5) D-brane model building to alleviate the (g −2)μ tension between the Standard Model and observations. A robust ∆aμ(SUSY) is realized via mixing of M5 and M1X at the secondary SU(5) × U(1)X unification scale in $$ \mathcal{F} $$ F –SU(5) emanating from SU(5) breaking and U(1)X flux effects. Calculations unveil ∆aμ(SUSY) = 19.0–22.3 × 10−10 for gluino masses of M($$ \overset{\sim }{g} $$ g ~ )= 2.25–2.56 TeV and higgsino dark matter, aptly residing within the BNL+FNAL 1σ mean. This (g − 2)μ favorable region of the model space also generates the correct light Higgs boson mass and branching ratios of companion rare decay processes, and is further consistent with all LHC Run 2 constraints. Finally, we also examine the heavy SUSY Higgs boson in light of recent LHC searches for an extended Higgs sector.

scholarly journals Genuine Dilatons in Gauge Theories

Universe ◽  
2020 ◽  
Vol 6 (7) ◽  
pp. 96 ◽  
Author(s):  
R. J. Crewther
Keyword(s):  
Higgs Boson ◽  
Gauge Theories ◽  
Energy Momentum Tensor ◽  
Gauge Coupling ◽  
Momentum Tensor ◽  
Boson Mass ◽  
Light Higgs Boson ◽  
Dimensional Transmutation ◽  
Low Energies ◽  
Scale Perturbation

A genuine dilaton σ allows scales to exist even in the limit of exact conformal invariance. In gauge theories, these may occur at an infrared fixed point (IRFP) α IR through dimensional transmutation. These large scales at α IR can be separated from small scales produced by θ μ μ , the trace of the energy-momentum tensor. For quantum chromodynamics (QCD), the conformal limit can be combined with chiral S U ( 3 ) × S U ( 3 ) symmetry to produce chiral-scale perturbation theory χ PT σ , with f 0 ( 500 ) as the dilaton. The technicolor (TC) analogue of this is crawling TC: at low energies, the gauge coupling α goes directly to (but does not walk past) α IR , and the massless dilaton at α IR corresponds to a light Higgs boson at α ≲ α IR . It is suggested that the W ± and Z 0 bosons set the scale of the Higgs boson mass. Unlike crawling TC, in walking TC, θ μ μ produces all scales, large and small, so it is hard to argue that its “dilatonic” candidate for the Higgs boson is not heavy.

EXACT RENORMALIZATION GROUP EQUATION FOR SU(2) GAUGE FIELDS INTERACTING WITH MASSIVE FERMIONS

1999 ◽  
Vol 14 (25) ◽  
pp. 3935-3947 ◽  
Author(s):  
STEFANO ARNONE ◽  
ANNAMARIA PANZA
Keyword(s):  
Renormalization Group ◽  
Boundary Conditions ◽  
Iterative Solution ◽  
Flow Equation ◽  
Renormalization Group Equation ◽  
Fine Tuning ◽  
Group Equation ◽  
Classical Action ◽  
Local Gauge Symmetry ◽  
Β Function

We show an application of the Wilson renormalization group (RG) method to a SU(2) gauge field theory in interaction with a massive fermion doublet. We succeed in implementing the local gauge symmetry up to one loop by choosing suitable boundary conditions to the RG equation: we require the relevant monomials not present in the classical action to satisfy the Slavnov–Taylor identities once the cutoffs are removed. In this way the so called fine-tuning problem, due to the assignation of boundary conditions in terms of the bare parameters, is avoided. In this framework, loop expansion is equivalent to the iterative solution of the RG equation; one loop calculations are performed in order to determine whether and, if so, how much the fermionic matter modifies the infrared and ultraviolet asymptotic form of the couplings. The analysis of the infrared behavior allows to verify the regularity of the Λ-flow equation at Λ=0. Then we compute the β-function and we check gluon transversality. Finally, we outline a proof of perturbative renormalizability.

scholarly journals Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation

2009 ◽  
Vol 324 (2) ◽  
pp. 414-469 ◽  
Author(s):  
Alessandro Codello ◽  
Roberto Percacci ◽  
Christoph Rahmede
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Equation ◽  
Group Equation

RENORMALIZATION GROUP EQUATION AND EFFECTIVE ACTION IN STRING THEORY

1989 ◽  
Vol 04 (10) ◽  
pp. 941-951 ◽  
Author(s):  
J. GAITE
Keyword(s):  
Renormalization Group ◽  
String Theory ◽  
Effective Action ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Generating Functional ◽  
S Matrix

The connection between the renormalization group for the σ-model effective action for the Polyakov string and the S-matrix generating functional for dual amplitudes is studied. A more general approach to the renormalization group equation for string theory is proposed.

scholarly journals The framed Standard Model (II) — A first test against experiment

2015 ◽  
Vol 30 (30) ◽  
pp. 1530060
Author(s):  
Hong-Mo Chan ◽  
Sheung Tsun Tsou
Keyword(s):  
Standard Model ◽  
Renormalization Group Equation ◽  
Fermion Mass ◽  
Group Equation ◽  
Unknown Parameters ◽  
Mass Matrices ◽  
The Standard Model ◽  
Experimental Values ◽  
The Masses ◽  
Independent Parameters

Apart from the qualitative features described in Paper I (Ref. 1), the renormalization group equation derived for the rotation of the fermion mass matrices are amenable to quantitative study. The equation depends on a coupling and a fudge factor and, on integration, on 3 integration constants. Its application to data analysis, however, requires the input from experiment of the heaviest generation masses [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] all of which are known, except for [Formula: see text]. Together then with the theta-angle in the QCD action, there are in all 7 real unknown parameters. Determining these 7 parameters by fitting to the experimental values of the masses [Formula: see text], [Formula: see text], [Formula: see text], the CKM elements [Formula: see text], [Formula: see text], and the neutrino oscillation angle [Formula: see text], one can then calculate and compare with experiment the following 12 other quantities [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and the results all agree reasonably well with data, often to within the stringent experimental error now achieved. Counting the predictions not yet measured by experiment, this means that 17 independent parameters of the standard model are now replaced by 7 in the FSM.

scholarly journals EFFECTIVE AVERAGE ACTION IN STATISTICAL PHYSICS AND QUANTUM FIELD THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 1951-1982 ◽  
Author(s):  
CHRISTOF WETTERICH
Keyword(s):  
Field Theory ◽  
Statistical Physics ◽  
Thermal Fluctuations ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Quantum Field ◽  
Four Dimensions ◽  
Average Action ◽  
Exact Renormalization Group ◽  
Unified Description

An exact renormalization group equation describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. It interpolates between the microphysical laws and the complex macroscopic phenomena. We present a simple unified description of critical phenomena for O(N)-symmetric scalar models in two, three or four dimensions, including essential scaling for the Kosterlitz-Thouless transition.

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.

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