Anthropic considerations in multiple domain theories and the scale of electroweak symmetry breaking

Abstract

One of the puzzles of the Standard Model is why the mass parameter which determines the scale of the Weak interactions is closer to the scale of QCD than to the Grand Unification or Planck scales. We discuss a novel approach to this problem which is possible in theories in which different regions of the universe can have different values of the physical parameters. In such a situation, we would naturally find ourselves in a region which has parameters favorable for life. We explore the whole range of values of the mass parameter in the Higgs potential, ${\mu }^2$, from $+M_P^2$ to $-M_P^2$ and find that there is only a narrow window, overlapping with the observed value, in which life is likely to be possible. The observed value of ${\mu }^2$ is fairly typical of the values in this range. Thus multiple domain theories in which ${\mu }^2$ varies among domains may give a promising approach to solving the fine tunign problem and explaining the closeness of the QCD scale and the Weak scale.

10 pages, 1 figure, to be published in Phys. Rev. Lett

Cited by in corpus (79)

• The fundamental constants and their variation: observational status and theoretical motivations
• Varying constants, Gravitation and Cosmology
• The landscape of QCD axion models
• Dimensionless constants, cosmology and other dark matters
• Why the Universe is Just So
• Planckian Interacting Massive Particles as Dark Matter
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant Problem
• Theoretical Aspects of the Equivalence Principle
• A modified naturalness principle and its experimental tests
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Theory and Phenomenology of Planckian Interacting Massive Particles as Dark Matter
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• Life at the Interface of Particle Physics and String Theory
• Midi-review: Status of weak scale supersymmetry after LHC Run 2 and ton-scale noble liquid WIMP searches
• Revisiting the SUSY mu problem and its solutions in the LHC era
• Anomalous muon magnetic moment, supersymmetry, naturalness, LHC search limits and the landscape
• Constraints on the variability of quark masses from nuclear binding
• The Degree of Fine-Tuning in our Universe -- and Others
• Hunting for super-heavy dark matter with the highest-energy cosmic rays
• A Closer Look at Gaugino Masses in Pure Gravity Mediation Model/Minimal Split SUSY Model
• Gedanken Worlds without Higgs: QCD-Induced Electroweak Symmetry Breaking
• Anthropic predictions for neutrino masses
• Quark and lepton masses and mixing in the landscape
• Evidence of the Big Fix
• Unification of Gauge Couplings in the Standard Model with Extra Vector-like Families
• Split Supersymmetry from Anomalous U(1)
• Higgs and superparticle mass predictions from the string theory landscape
• A sharp 141 GeV Higgs prediction from environmental selection
• R-symmetric High Scale Supersymmetry
• Likely values of the Higgs vev
• A landscape solution to the SUSY flavor and CP problems
• A Calculable Toy Model of the Landscape
• Anthropic tuning of the weak scale and of m_u/m_d in two-Higgs-doublet models
• Nuclear Astrophysics of Worlds in the String Landscape
• Dynamics of M-theory vacua
• Producing the Deuteron in Stars: Anthropic Limits on Fundamental Constants
• The Multiverse and Particle Physics
• The Triple-Alpha Process and the Anthropically Allowed Values of the Weak Scale
• The weight for random quark masses
• Implications of Canonical Gauge Coupling Unification in High-Scale Supersymmetry Breaking
• Spatial gradients in the cosmological constant
• The scale of gravity and the cosmological constant within a landscape
• Naturalness versus stringy naturalness (with implications for collider and dark matter searches)
• The LHC higgsino discovery plane for present and future SUSY searches
• A Theoretical Framework for R-parity Violation
• New angular (and other) cuts to improve the higgsino signal at the LHC
• Spontaneous Symmetry Breaking as a Basis of Particle Mass
• A string landscape guide to soft SUSY breaking terms
• The Equivalence Principle and the Constants of Nature
• Embedding Flipped SU(5) into SO(10)
• Comparison of SUSY spectra generators for natural SUSY and string landscape predictions
• The cosmological moduli problem and naturalness
• Lower Bound on the Garvitino Mass $m_{3/2}>O(100)$ TeV in $R$-Symmetry Breaking New Inflation
• The fine-tuning problems of particle physics and anthropic mechanisms
• LHC SUSY and WIMP dark matter searches confront the string theory landscape
• Constraining the neutron-neutron scattering length with \eftnopi
• Guises and Disguises of Quadratic Divergences
• Radiative natural supersymmetry emergent from the string landscape
• Mirage mediation from the landscape
• Dark matter and dark radiation from the early universe with a modulus coupled to the PQMSSM
• Why do we observe a weak force? The hierarchy problem in the multiverse
• Landscape Higgs and sparticle mass predictions from a logarithmic soft term distribution
• Doubly Lopsided Mass Matrices from Supersymmetric SU(N) Unification
• Higgs Bosons, Electroweak Symmetry Breaking, and the Physics of the Large Hadron Collider
• Is the magnitude of the Peccei-Quinn scale set by the landscape?
• Fine-tuned vs. natural supersymmetry: what does the string landscape predict?
• Distribution of supersymmetry mu parameter and Peccei-Quinn scale f_a from the landscape
• Sleptonic SUSY: From UV Framework to IR Phenomenology
• A New Approach to Flavor Symmetry and an Extended Naturalness Principle
• A technique for natural gauge boson masses
• A Slant on Warped Extra Dimensions
• Higgs Multiplets of the Quark-Lepton Family Group
• Quark Masses: An Environmental Impact Statement
• Higgs-Flavor Groups, Naturalness, and Dark Matter
• A Classification and Analysis of Higgs-flavor Models
• Fine tunings and quark masses: Phenomenology of multiple domain theories
• Comment on "Neutron lifetime and dark decay of the neutron and hydrogen''
• Five dimensional $SU(5)\times U(1{)}_{\mathrm{PQ}}$ grand unification