High Quality Axion in Supersymmetric Models

Abstract

In this work, we discuss how the use of the symmetries well motivated in physics beyond the Standard model (BSM) can guarantee the high quality axions. We avoid to introduce symmetries only useful for addressing the axion quality problem. Rather, we rely on symmetries well motivated by other issues in BSM: supersymmetry, $U(1{)}_{\mathrm{B}-\mathrm{L}}$ and the discrete R-symmetry $Z_{NR}$. We show that the interplay among these guarantees the high quality of the axion even for the gravitino mass and axion decay constant as large as $m_{3/2}=\mathcal{O}(10)\mathrm{TeV}$ and $F_a=\mathcal{O}(10^{15})\mathrm{GeV}$ respectively. The key point of this work relies on the observation that the MSSM contribution to the mixed anomalies $Z_{NR}-[SU(2{)}_L{]}^2$ and $Z_{NR}-[SU(3{)}_c{]}^2$ is not enough for gauging $Z_{NR}$ for $N\ne 6$, which necessitates the introduction of new matter fields. We make the introduction to achieve zero mixed anomalies, which logically supports a desired large enough $N$ for $Z_{NR}$. This mechanism effectively makes $Z_{NR}$ equal to $U(1{)}_R$ and thus offers a logically complete solution to the axion quality problem.

arXiv comment27 pages,1 figure, 2 tables. v3: version accepted by JHEP

References in corpus (56)

• Ultralight scalars as cosmological dark matter
• Axions In String Theory
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Astrophysical Axion Bounds
• Planck-Scale Physics and the Peccei-Quinn Mechanism
• GRAVITY AND GLOBAL SYMMETRIES
• Solutions to the strong CP problem in a world with gravity
• The QCD Axion and Moduli Stabilisation
• Strong CP problem and mirror world: the Weinberg Wilczek axion revisited
• Grand unification and heavy axion
• An M Theory Solution to the Strong CP Problem and Constraints on the Axiverse
• String or M theory axion as a quintessence
• Anomalous solutions to the strong CP problem
• A Model of Visible QCD Axion
• A Visible QCD Axion from an Enlarged Color Group
• More About Discrete Gauge Anomalies
• Dark Discrete Gauge Symmetries
• Quintessence Axion Potential Induced by Electroweak Instanton Effects
• Naturally light invisible axion in models with large local discrete symmetries
• Composite Accidental Axions
• Anomaly-Free Gauged R-Symmetry in Local Supersymmetry
• The Peccei-Quinn Symmetry from a Gauged Discrete R Symmetry
• Accidental Peccei-Quinn symmetry protected to arbitrary order
• A "Gauged" $U(1)$ Peccei-Quinn Symmetry
• Stabilizing the Axion by Discrete Gauge Symmetries
• Cosmic Birefringence and Electroweak Axion Dark Energy
• A High Quality Composite Axion
• Natural Theories of Ultra-Low Mass PNGB's: Axions and Quintessence
• Consequences of Supergravity with Gauged $\mathrm{U}(1{)}_{\mathrm{R}}$ Symmetry
• Automatic Peccei-Quinn symmetry
• XENON1T Anomaly and its Implication for Decaying Warm Dark Matter
• Small Instanton Contribution to the Axion Potential in Supersymmetric Models
• Axion quality from the (anti)symmetric of SU(N)
• Peccei-Quinn symmetry from a hidden gauge group structure
• Quintessence Axion Dark Energy and a Solution to the Hubble Tension
• Number-Theory Dark Matter
• Quintessence Axion Revisited in Light of Swampland Conjectures
• Chiral models of composite axions and accidental Peccei-Quinn symmetry
• The Axion Quality Problem: Global Symmetry Breaking and Wormholes
• A Composite Axion from a Supersymmetric Product Group
• Gravity safe, electroweak natural axionic solution to strong CP and SUSY mu problems
• Protecting the Axion with Local Baryon Number
• Axions in a highly protected gauge symmetry model
• Grand Color Axion
• Degenerate Sub-keV Fermion Dark Matter from a Solution to the Hubble Tension
• Accidental SO(10) axion from gauged flavour
• Gauged Peccei-Quinn Symmetry - A Case of Simultaneous Breaking of SUSY and PQ Symmetry
• Chiral Abelian gauge theories with few fermions
• High-quality axions in solutions to the $\mu$ problem
• Axion model with the $\mathrm{SU}(6)$ unification
• Exact accidental U(1) symmetries for the axion
• Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture
• Degenerate Fermion Dark Matter from a Broken $U(1{)}_{\mathrm{B}-\mathrm{L}}$ Gauge Symmetry
• Qualities of axion and LSP in Pati-Salam unification with $Z_4^R\times Z_N$ symmetry
• QCD Axion From a Spontaneously Broken B-L Gauge Symmetry
• Axion Quality Straight from the GUT

Cited by in corpus (7)

• High-quality axions in a class of chiral $U(1)$ gauge theories
• Dark matter and dark radiation from the early universe with a modulus coupled to the PQMSSM
• The axion flavour connection
• The anomalous shift of the weak boson mass and the quintessence electroweak axion
• A QCD R-Axion
• On the possibility of mixed axion/neutralino dark matter in specific SUSY DFSZ axion models
• Wiggly dilaton: a landscape of spontaneously broken scale invariance