AN $N = \not 2$ SUSY GAUGE MODEL FOR DYNAMICAL BREAKING OF THE GRAND UNIFIED SU(5) SYMMETRY

We construct an extension of the recently proposed dynamical model for the breaking of SU(5)GUT gauge symmetry, in which a pair of massless chiral supermultiplets for Higgs doublets are naturally obtained. We point out that a model at a specific point in the parameter space of superpotential is regarded as a low-energy effective theory of an [Formula: see text] supersymmetric gauge model for the strongly interacting hypercolor sector.

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Flavour Anomalies in a U(1) SUSY Extension of the SM

Symmetry ◽

10.3390/sym13020191 ◽

2021 ◽

Vol 13 (2) ◽

pp. 191

Author(s):

Alexander Bednyakov ◽

Alfiia Mukhaeva

Keyword(s):

Standard Model ◽

Parameter Space ◽

Gauge Boson ◽

New Physics ◽

Low Energy ◽

Effective Theory ◽

The Standard Model ◽

Meson Mixing ◽

Additional Anomaly ◽

Lepton Flavour

Flavour anomalies have attracted a lot of attention over recent years as they provide unique hints for possible New Physics. Here, we consider a supersymmetric (SUSY) extension of the Standard Model (SM) with an additional anomaly-free gauge U(1) group. The key feature of our model is the particular choice of non-universal charges to the gauge boson Z′, which not only allows a relaxation of the flavour discrepancies but, contrary to previous studies, can reproduce the SM mixing matrices both in the quark and lepton sectors. We pay special attention to the latter and explicitly enumerate all parameters relevant for our calculation in the low-energy effective theory. We find regions in the parameter space that satisfy experimental constraints on meson mixing and LHC Z′ searches and can alleviate the flavour anomalies. In addition, we also discuss the predictions for lepton-flavour violating decays B+→K+μτ and B+→K+eτ.

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SPACE–TIME AND MATTER IN THE IIB MATRIX MODEL — GAUGE SYMMETRY AND DIFFEOMORPHISM

International Journal of Modern Physics A ◽

10.1142/s0217751x0000032x ◽

2000 ◽

Vol 15 (05) ◽

pp. 651-666 ◽

Cited By ~ 19

Author(s):

SATOSHI ISO ◽

HIKARU KAWAI

Keyword(s):

Gauge Symmetry ◽

Matrix Model ◽

Space Time ◽

Low Energy ◽

Effective Theory ◽

General Covariance ◽

Distribution Of Eigenvalues ◽

Energy Theory ◽

Definition Of ◽

Small Clusters

We pursue a study of the type-IIB matrix model as a constructive definition of a superstring. In this paper, we justify the interpretation of space–time as being a distribution of eigenvalues of matrices by showing that some low-energy excitations indeed propagate in it. In particular, we show that if the distribution consists of small clusters of size n, low-energy theory acquires local SU(n) gauge symmetry, and a plaquette action for the associated gauge boson is induced. We finally argue a possible identification of the diffeomorphism symmetry with a permutation group acting on the set of eigenvalues, and show that general covariance is realized in the low-energy effective theory, even though we do not have a manifest general covariance in the IIB matrix model action.

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CONFINING PHASE IN SUSY SO(12) GAUGE THEORY WITH ONE SPINOR AND SEVERAL VECTORS

Modern Physics Letters A ◽

10.1142/s021773239800142x ◽

1998 ◽

Vol 13 (17) ◽

pp. 1361-1370 ◽

Cited By ~ 4

Author(s):

NOBUHITO MARU

Keyword(s):

Gauge Theory ◽

Gauge Symmetry ◽

Symmetry Breaking ◽

Explicit Form ◽

Phase Structure ◽

Low Energy ◽

Effective Theory ◽

Gauge Invariant

We study the confining phase structure of [Formula: see text] supersymmetric SO(12) gauge theory with Nf≤7 vectors and one spinor. The explicit form of low-energy superpotentials for Nf≤7 are derived after gauge-invariant operators relevant in the effective theory are identified via gauge symmetry breaking pattern. The resulting confining phase structure is analogous to Nf≤Nc+1 SUSY QCD. Finally, we conclude with some comments on the search for duals to Nf≥8 SO(12) theory.

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EMERGENCE OF GRAVITY FROM INTERACTING SIMPLICES

International Journal of Modern Physics A ◽

10.1142/s0217751x09045856 ◽

2009 ◽

Vol 24 (23) ◽

pp. 4271-4286 ◽

Cited By ~ 5

Author(s):

SUNG-SIK LEE

Keyword(s):

Statistical Model ◽

Gravitational Theory ◽

Low Energy ◽

Target Space ◽

Effective Theory ◽

Coulomb Phase ◽

Space And Time ◽

Strongly Interacting ◽

Large N ◽

Euclidean Signature

We consider a statistical model of interacting 4-simplices fluctuating in an N-dimensional target space. We argue that a gravitational theory may arise as a low energy effective theory in a strongly interacting phase where the simplices form clusters with an emergent space and time with the Euclidean signature. In the large N limit, two possible phases are discussed, that is, "gravitational Coulomb phase" and "gravitational Higgs phase."

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A note on low energy effective theory of chromo-natural inflation in the light of BICEP2 results

Modern Physics Letters A ◽

10.1142/s0217732315500406 ◽

2015 ◽

Vol 30 (11) ◽

pp. 1550040 ◽

Cited By ~ 8

Author(s):

Anindita Bhattacharjee ◽

Atri Deshamukhya ◽

Sudhakar Panda

Keyword(s):

Experimental Data ◽

Spontaneously stabilised dark matter from a fermiophobic U(1)′ gauge symmetry

Journal of High Energy Physics ◽

10.1007/jhep12(2021)121 ◽

2021 ◽

Vol 2021 (12) ◽

Author(s):

B. Fu ◽

S.F. King

Keyword(s):

Dark Matter ◽

Gauge Symmetry ◽

Parameter Space ◽

High Energy ◽

Low Energy ◽

Dark Matter Candidate ◽

Chiral Fermion ◽

Seesaw Mechanism ◽

Matter Production ◽

Relic Abundance

Abstract We consider the possibility that dark matter is stabilised by a discrete Z2 symmetry which arises from a subgroup of a U(1)′ gauge symmetry, spontaneously broken by integer charged scalars, and under which the chiral quarks and leptons do not carry any charges. A chiral fermion χ with half-integer charge is odd under the preserved Z2, and hence becomes a stable dark matter candidate, being produced through couplings to right-handed neutrinos with vector-like U(1)′ charges, as in the type Ib seesaw mechanism. We calculate the relic abundance in such a low energy effective seesaw model containing few parameters, then consider a high energy renormalisable model with a complete fourth family of vector-like fermions, where the chiral quark and lepton masses arise from a seesaw-like mechanism. With the inclusion of the fourth family, the lightest vector-like quark can contribute to the dark matter production, enlarging the allowed parameter space that we explore.

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The low-energy effective theory of axions and ALPs

Journal of High Energy Physics ◽

10.1007/jhep04(2021)063 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Martin Bauer ◽

Matthias Neubert ◽

Sophie Renner ◽

Marvin Schnubel ◽

Andrea Thamm

Keyword(s):

High Energy ◽

New Physics ◽

Mass Scale ◽

Low Energy ◽

Effective Theory ◽

Loop Order ◽

Flavor Changing ◽

Effective Lagrangian ◽

Anomalous Dimensions ◽

Pseudoscalar Mesons

Abstract Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model, which interact with the known particles through higher-dimensional operators suppressed by the mass scale Λ of the new-physics sector. Starting from the most general dimension-5 interactions, we discuss in detail the evolution of the ALP couplings from the new-physics scale to energies at and below the scale of electroweak symmetry breaking. We derive the relevant anomalous dimensions at two-loop order in gauge couplings and one-loop order in Yukawa interactions, carefully considering the treatment of a redundant operator involving an ALP coupling to the Higgs current. We account for one-loop (and partially two-loop) matching contributions at the weak scale, including in particular flavor-changing effects. The relations between different equivalent forms of the effective Lagrangian are discussed in detail. We also construct the effective chiral Lagrangian for an ALP interacting with photons and light pseudoscalar mesons, pointing out important differences with the corresponding Lagrangian for the QCD axion.

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