scholarly journals Raising the SUSY-breaking scale in a Goldstone–Higgs model

2017 ◽  
Vol 32 (27) ◽  
pp. 1750143 ◽  
Author(s):  
Tommi Alanne ◽  
Heidi Rzehak ◽  
Francesco Sannino ◽  
Anders Eller Thomsen
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Goldstone Boson ◽  
Higgs Sector ◽  
Global Symmetry ◽  
Electroweak Sector ◽  
Chiral Superfield ◽  
Breaking Scale

We show that by combining the elementary Goldstone–Higgs scenario and supersymmetry it is possible to raise the scale of supersymmetry breaking to several TeVs by relating it to the spontaneous-symmetry-breaking one. This is achieved by first enhancing the global symmetries of the super-Higgs sector to SU(4) and then embedding the electroweak sector and the Standard Model (SM) fermions. We determine the conditions under which the model achieves a vacuum such that the resulting Higgs is a pseudo-Goldstone boson (pGB). The main results are: the supersymmetry-breaking scale is identified with the spontaneous-symmetry-breaking scale of SU(4) which is several TeVs above the radiatively induced electroweak scale; intriguingly the global symmetry of the Higgs sector predicts the existence of two super-Higgs multiplets with one mass eigenstate playing the role of the pseudo-Goldstone Higgs; the symmetry-breaking dynamics fixes [Formula: see text] and requires a supplementary singlet chiral superfield. We finally discuss the spectrum of the model that now features the superpartners of the SM fermions and gauge bosons in the multi-TeV range.

scholarly journals Precision Higgs couplings in neutral naturalness models: an effective field theory approach

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Lucien Heurtier ◽  
Hao-Lin Li ◽  
Huayang Song ◽  
Shufang Su ◽  
Wei Su ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Goldstone Boson ◽  
Higgs Sector ◽  
New Physics ◽  
Effective Field ◽  
Precision Measurements ◽  
Global Symmetry ◽  
Theory Approach ◽  
Decay Channels

AbstractThe Higgs sector in neutral naturalness models provides a portal to the hidden sectors, and thus measurements of Higgs couplings at current and future colliders play a central role in constraining the parameter space of the model. We investigate a class of neutral naturalness models, in which the Higgs boson is a pseudo-Goldstone boson from the universal SO(N)/SO(N −1) coset structure. Integrating out the radial mode from the spontaneous global symmetry breaking, we obtain various dimension-six operators in the Standard Model effective field theory, and calculate the low energy Higgs effective potential with radiative corrections included. We perform aχ2fit to the Higgs coupling precision measurements at current and future colliders and show that the new physics scale could be explored up to 2.3 (2.4) TeV without (with) the Higgs invisible decay channels at future Higgs factories. The limits are comparable to the indirect constraints obtained via electroweak precision measurements.

scholarly journals INVERSE AND SPONTANEOUS SUPERSYMMETRY BREAKING IN S1 × R3

2010 ◽  
Vol 25 (25) ◽  
pp. 4801-4826
Author(s):  
V. K. OIKONOMOU
Keyword(s):  
Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Finite Temperature ◽  
Space Time ◽  
Supersymmetric Model ◽  
Interaction Terms ◽  
Compact Dimension ◽  
Continuous Symmetries

In this paper, we study the influence of hard-supersymmetry-breaking terms in an N = 1, d = 4 supersymmetric model, with S1 × R3 space–time topology. It is found that for some interaction terms and for certain values of the couplings, supersymmetry is unbroken for small lengths of the compact radius and spontaneously breaks as the radius increases. Also, for another class of interaction terms, when the radius is large, supersymmetry is unbroken and spontaneously breaks as the radius decreases. It is pointed out that the two phenomena have similarities to the theory of metastable vacua at finite temperature, as well as to the inverse symmetry breaking of continuous symmetries at finite temperature (where the role of the temperature is played by the radius of the compact dimension).

BARYOGENESIS IN AN SO(10) GUT MODEL WITH PATI–SALAM INTERMEDIATE SYMMETRY

1998 ◽  
Vol 13 (19) ◽  
pp. 1539-1546
Author(s):  
F. BUCCELLA ◽  
O. PISANTI ◽  
L. ROSA
Keyword(s):  
Experimental Data ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Neutrino Oscillations ◽  
Baryon Asymmetry ◽  
Gauge Model ◽  
Electroweak Scale ◽  
Proton Lifetime ◽  
The Universe ◽  
Breaking Scale

The possibility of generating the observed baryon asymmetry of the universe in an SO(10) gauge model with spontaneous symmetry breaking pattern [Formula: see text] is studied. We find it possible to generate a [Formula: see text], converting the leptonic number produced at the B- L breaking scale via the B+L violating processes mediated by sphalerons at the electroweak scale. The resulting picture is tested against the limit coming from experimental data: proton lifetime and neutrino oscillations.

Self-Organization of Symmetry Networks: Transformation Invariance from the Spontaneous Symmetry-Breaking Mechanism

2000 ◽  
Vol 12 (3) ◽  
pp. 565-596 ◽  
Author(s):  
Chris J. S. Webber
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Receptive Fields ◽  
Learning Rule ◽  
Image Data ◽  
Simple Cell ◽  
Natural Image ◽  
Complex Cell ◽  
Breaking Mechanism

Symmetry networks use permutation symmetries among synaptic weights to achieve transformation-invariant response. This article proposes a generic mechanism by which such symmetries can develop during unsupervised adaptation: it is shown analytically that spontaneous symmetry breaking can result in the discovery of unknown invariances of the data's probability distribution. It is proposed that a role of sparse coding is to facilitate the discovery of statistical invariances by this mechanism. It is demonstrated that the statistical dependences that exist between simple-cell-like threshold feature detectors, when exposed to temporally uncorrelated natural image data, can drive the development of complex-cell-like invariances, via single-cell Hebbian adaptation. A single learning rule can generate both simple-cell-like and complex-cell-like receptive fields.

Chiral Symmetry

2019 ◽  
pp. 217-230
Author(s):  
Michael E. Peskin
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Chiral Symmetry ◽  
Goldstone Boson ◽  
Spontaneous Breaking ◽  
Quark Masses ◽  
Zero Mass ◽  
K Mesons ◽  
The Masses

This chapter introduces chiral symmetry, the extra symmetry that QCD acquires when the masses of quarks are set to zero. It introduces the concept of spontaneous symmetry breaking and explains the spontaneous breaking of chiral symmetry in QCD. It introduces the concept of a Goldstone boson, a particle that has zero mass as the result of spontaneous symmetry breaking, and explains how this concept explains properties of the pi and K mesons and allows us to determine the underlying values of the quark masses.

MASSLESSNESS OF THE PHOTON AND GOLDSTONE THEOREM

1991 ◽  
Vol 06 (20) ◽  
pp. 3559-3569 ◽  
Author(s):  
B. ROSENSTEIN ◽  
A. KOVNER
Keyword(s):  
Phase Transition ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Lorentz Group ◽  
Goldstone Boson ◽  
Global Symmetry ◽  
Goldstone Theorem ◽  
Spontaneous Breakdown ◽  
Conserved Current ◽  
The Relationship

The relationship between the masslessness of a photon and the realization of global symmetries in QED is examined. We show that the photon is a Goldstone boson resulting from the spontaneous breakdown of a symmetry whose conserved current is [Formula: see text]. In the Higgs phase this symmetry is unbroken, but there are no particles carrying the corresponding charges. Therefore, although the symmetry does not commute with the Lorentz group, there is no contradiction with the Coleman-Mandula theorem. The Coulomb-Higgs phase transition is interpreted as the usual global symmetry breaking phase transition rather than “gauge symmetry breaking.”

scholarly journals THE HISTORY OF THE GURALNIK, HAGEN AND KIBBLE DEVELOPMENT OF THE THEORY OF SPONTANEOUS SYMMETRY BREAKING AND GAUGE PARTICLES

2009 ◽  
Vol 24 (14) ◽  
pp. 2601-2627 ◽  
Author(s):  
GERALD S. GURALNIK
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Solution Space ◽  
Quantum Field ◽  
Historical Material ◽  
Intrinsic Nonlinearity ◽  
History Of ◽  
Do So

I discuss historical material about the beginning of the ideas of spontaneous symmetry breaking and particularly the role of the paper by Guralnik, Hagen and Kibble in this development. I do so adding a touch of some more modern ideas about the extended solution-space of quantum field theory resulting from the intrinsic nonlinearity of nontrivial interactions.

scholarly journals Axion quality from the (anti)symmetric of SU($$ \mathcal{N} $$)

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Marco Ardu ◽  
Luca Di Luzio ◽  
Giacomo Landini ◽  
Alessandro Strumia ◽  
Daniele Teresi ◽  
...  
Keyword(s):  
Dark Matter ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Thermal Equilibrium ◽  
Lower Energy ◽  
Bound States ◽  
Energy Scale ◽  
High Dimensional ◽  
Global Symmetry

Abstract We propose two models where a U(1) Peccei-Quinn global symmetry arises accidentally and is respected up to high-dimensional operators, so that the axion solution to the strong CP problem is successful even in the presence of Planck-suppressed operators. One model is SU($$ \mathcal{N} $$ N ) gauge interactions with fermions in the fundamental and a scalar in the symmetric. The axion arises from spontaneous symmetry breaking to SO($$ \mathcal{N} $$ N ), that confines at a lower energy scale. Axion quality in the model needs $$ \mathcal{N} $$ N ≳ 10. SO bound states and possibly monopoles provide extra Dark Matter candidates beyond the axion. In the second model the scalar is in the anti-symmetric: SU($$ \mathcal{N} $$ N ) broken to Sp($$ \mathcal{N} $$ N ) needs even $$ \mathcal{N} $$ N ≳ 20. The cosmological DM abundance, consisting of axions and/or super-heavy relics, can be reproduced if the PQ symmetry is broken before inflation (Boltzmann-suppressed production of super-heavy relics) or after (super-heavy relics in thermal equilibrium get partially diluted by dark glue-ball decays).

ON THE ROLE OF THE WEAK INTERACTION IN THE PROCESS OF NUCLEAR FISSION

2006 ◽  
Vol 15 (02) ◽  
pp. 393-404
Author(s):  
KLAUS DIETRICH
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Weak Interaction ◽  
Nuclear Fission ◽  
Low Energy ◽  
Time Dependent ◽  
Parity Doublet ◽  
Microscopic Description ◽  
Enhancement Mechanism

We investigate the effect of the parity-violating weak interaction in the process of n-induced low-energy fission within a time-dependent microscopic description. We display two different mechanisms of enhancement: a) the well-known enhancement due to the chaotic complexity of compound nuclear states and the concomitant high density of levels, b) an additional dynamical enhancement which arises whenever the substates of a parity doublet cross as a function of the intrinsic octupole moment Q30 on the way to fission. In the last section we discuss other examples of this additional enhancement mechanism which is due to a spontaneous symmetry breaking.

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