Radiative Symmetry breaking, Cosmic Strings and Observable Gravity Waves in $U(1{)}_R$ symmetric $SU(5)\times U(1{)}_{\chi }$

Abstract

We implement shifted hybrid inflation in the framework of supersymmetric $SU(5)\times U(1{)}_{\chi }$ GUT model which provides a natural solution to the monopole problem appearing in the spontaneous symmetry breaking of $SU(5)$. The $U(1{)}_{\chi }$ symmetry is radiatevely broken after the end of inflation at an intermediate scale, yielding topologically stable cosmic strings. The Planck's bound on the gravitational interaction strength of these strings, characterized by $G_N{\mu }_s$ are easily satisfied with the $U(1{)}_{\chi }$ symmetry breaking scale which depends on the initial boundary conditions at the GUT scale. The dimension-5 proton lifetime for the decay $p\to K^{+}\bar{\nu }$, mediated by color-triplet Higgsinos is found to satisfy current Super-Kamiokande bounds for SUSY breaking scale $M_{\text{SUSY}}\gtrsim 12.5$ TeV. We show that with minimal Kähler potential, the soft supersymmetry breaking terms play a vital role in bringing the scalar spectral index $n_s$ within the Planck's latest bounds, although with small tensor modes $r\lesssim 2.5\times 10^{-6}$ and $SU(5)$ gauge symmetry breaking scale in the range ($2\times 10^{15}\lesssim M_{\alpha }\lesssim 2\times 10^{16}$) GeV. By employing non-minimal terms in the Kähler potential, the tensor-to-scalar ratio approaches observable values ($r\lesssim 10^{-3}$) with the $SU(5)$ symmetry breaking scale $M_{\alpha }\simeq 2\times 10^{16}$ GeV.

arXiv comment30 pages, 9 figures

References in corpus (71)

• Planck 2015 results. XIII. Cosmological parameters
• Planck 2018 results. X. Constraints on inflation
• The Simons Observatory: Science goals and forecasts
• Hybrid Inflation
• False Vacuum Inflation with Einstein Gravity
• Resonant Leptogenesis
• The Cold Dark Matter Density Perturbation
• CP Violation and Baryogenesis due to Heavy Majorana Neutrinos
• The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
• Large Scale Structure and Supersymmetric Inflation without Fine Tuning
• Mission design of LiteBIRD
• Radiatively Induced Neutrino Masses and Large Higgs-Neutrino Couplings in the Standard Model with Majorana Fields
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Hybrid Inflation in Supergravity
• Minimal Flavour Seesaw Models
• The Minimal Set of Electroweak Precision Parameters
• Signatures for Majorana neutrinos at hadron colliders
• Heavy neutrino signals at large hadron colliders
• Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos
• Search for Proton Decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ in 0.31 megaton$\cdot$years exposure of the Super-Kamiokande Water Cherenkov Detector
• New Production Mechanism for Heavy Neutrinos at the LHC
• Probing Lepton Number Violation via Majorana Neutrinos at Hadron Supercolliders
• Non-decoupling of Heavy Neutrinos and Lepton Flavour Violation
• Exploring Cosmic Origins with CORE: Inflation
• Natural TeV-Scale Left-Right Seesaw for Neutrinos and Experimental Tests
• Preheating in Hybrid Inflation
• Supersymmetric Hybrid Inflation with Non-Minimal Kahler potential
• Heavy Majorana Neutrinos from $W\gamma$ Fusion at Hadron Colliders
• Mu Problem and Hybrid Inflation in Supersymmetric SU(2)_L x SU(2)_R x U(1)_B-L
• Bounds on TeV Seesaw Models from LHC Higgs Data
• Lepton Flavour Violation and theta(13) in Minimal Resonant Leptogenesis
• Improved bounds on the heavy neutrino productions at the LHC
• Bounds on heavy Majorana neutrinos in type-I seesaw and implications for collider searches
• Supersymmetric Hybrid Inflation Redux
• Heavy Neutrinos with Dynamic Jet Vetoes: Multilepton Searches at $\sqrt{s}=14,27,$ and $100$ TeV
• Signal of heavy Majorana neutrinos at hadron colliders
• Supersymmetric And Smooth Hybrid Inflation In The Light Of WMAP3
• Production of Heavy neutrino in next-to-leading order QCD at the LHC and beyond
• Naturalness and Testability of TeV Seesaw Mechanisms
• Large Mixing of Light and Heavy Neutrinos in Seesaw Models and the LHC
• Higgs Decays in the Low Scale Type I See-Saw Model
• Constraining Sterile Neutrinos from Precision Higgs Data
• Light neutrinos from massless texture and below TeV seesaw scale
• Preheating in Supersymmetric Hybrid Inflation
• Z' at the LHC: Interference and Finite Width Effects in Drell-Yan
• Hybrid Inflation in the Complex Plane
• Observable Gravity Waves from Supersymmetric Hybrid Inflation II
• Heavy Neutrino Search via the Higgs boson at the LHC
• On Teraelectronvolt Majorana Neutrinos
• Update on Minimal Supersymmetric Hybrid Inflation in Light of PLANCK
• Forward-Backward Asymmetry as a Discovery Tool for Z' Bosons at the LHC
• Discrete symmetries for electroweak natural type-I seesaw mechanism
• No-go theorems for R symmetries in four-dimensional GUTs
• Inflation in Supersymmetric SU(5)
• $\mu$-hybrid Inflation, Gravitino Dark Matter and Stochastic Gravitational Wave Background from Cosmic Strings
• Constraint on the gravitino mass in hybrid inflation
• Upper Bound on the Tensor-to-Scalar Ratio in GUT-Scale Supersymmetric Hybrid Inflation
• Mono-jet, -photon and -Z Signals of a Supersymmetric (B-L) model at the Large Hadron Collider
• Constraining the Cosmic Strings Gravitational Wave Spectra in No Scale Inflation with Viable Gravitino Dark matter and Non Thermal Leptogenesis
• Simplified Smooth Inflation with Observable Gravity Waves
• Gravity Waves and Proton Decay in Flipped SU(5) Hybrid Inflation Model
• TeV Scale Leptogenesis With Heavy Neutrinos
• Loopholes in $Z^{\prime }$ searches at the LHC: exploring supersymmetric and leptophobic scenarios
• Tilted Hybrid Inflation
• Simplified Smooth Hybrid Inflation in Supersymmetric SU(5)
• Inflation from a No-scale supersymmetric $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$ model
• Pseudosmooth Tribrid Inflation in $SU(5)$
• Gravitino Dark matter, Non Thermal Leptogenesis and Low reheating temperature in No-scale Higgs Inflation
• Smooth Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves in $SU(5)\times U(1{)}_{\chi }$ Super-GUT
• Observable r, Gravitino Dark Matter, and Non-thermal Leptogenesis in No-Scale Supergravity
• Supersymmetric $SU(5)\times U(1{)}_{\chi }$ and the Weak Gravity Conjecture

Cited by in corpus (3)

• Probing Stochastic Gravitational Wave Background from $SU(5)\times U(1{)}_{\chi }$ Strings in Light of NANOGrav 15-Year Data
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Smooth $\mu$-Hybrid and Non-Minimal Higgs Inflation in $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ With Observable Gravitational Waves