Fundamental Constant Observational Bounds on the Variability of the QCD Scale

Abstract

Many physical theories beyond the Standard Model predict time variations of basic physics parameters. Direct measurement of the time variations of these parameters is very difficult or impossible to achieve. By contrast, measurements of fundamental constants are relatively easy to achieve, both in the laboratory and by astronomical spectra of atoms and molecules in the early universe. In this work measurements of the proton to electron mass ratio $\mu$ and the fine structure constant $\alpha$ are combined to place mildly model dependent limits on the fractional variation of the Quantum Chromodynamic Scale and the sum of the fractional variations of the Higgs Vacuum Expectation Value and the Yukawa couplings on time scales of more than half the age of the universe. The addition of another model parameter allows the fractional variation of the Higgs VEV and the Yukawa couplings to be computed separately. Limits on their variation are found at the level of less than $5\times 10^{-5}$ over the past seven gigayears. A model dependent relation between the expected fractional variation of $\alpha$ relative to $\mu$ tightens the limits to $10^{-7}$ over the same time span. Limits on the present day rate of change of the constants and parameters are then calculated using slow roll quintessence. A primary result of this work is that studies of the dimensionless fundamental constants such as $\alpha$ and $\mu$, whose values depend on the values of the physics parameters, are excellent monitors of the limits on the time variation of these parameters.

arXiv commentAccepted for publication in the Monthly Notices of the Royal Astronomical Society, 8 pages, 5 figures

References in corpus (25)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Varying constants, Gravitation and Cosmology
• Indications of a spatial variation of the fine structure constant
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Coupled Variations of Fundamental Couplings and Primordial Nucleosynthesis
• Enhanced sensitivity to time-variation of m_p/m_e in the inversion spectrum of ammonia
• Nucleosynthesis and the Time Dependence of Fundamental Couplings
• Symmetry Breaking and Time Variation of Gauge Couplings
• The UVES Large Program for Testing Fundamental Physics: I Bounds on a change in alpha towards quasar HE 2217-2818
• Robust Constraint on a Drifting Proton-to-Electron Mass Ratio at z=0.89 from Methanol Observation at Three Radio Telescopes
• Methanol as a tracer of fundamental constants
• New constraint on cosmological variation of the proton-to-electron mass ratio from Q0528-250
• Constraints on changes in the proton-electron mass ratio using methanol lines
• Time Variations in the Scale of Grand Unification
• Precise limits on cosmological variability of the fine-structure constant with zinc and chromium quasar absorption lines
• Constraining Variations in the Fine Structure Constant in the presence of Early Dark Energy
• Slow-roll freezing quintessence
• Helium and Deuterium Abundances as a Test for the Time Variation of the Fine Structure Constant and the Higgs Vacuum Expectation Value
• Time Variation of Fundamental Constants as a Probe of New Physics
• Constraints on quintessence and new physics from fundamental constant
• Fundamental constants and their variability in theories of High Energy Physics
• Fundamental Constants as Monitors of the Universe

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• Constraints on the electron-to-proton mass ratio variation at the epoch of reionization
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• [CI], [CII] and CO emission lines as a probe for alpha variations at low and high redshifts
• Beta Function Quintessence Cosmological Parameters and Fundamental Constants I: Power and Inverse Power Law Dark Energy Potentials
• Searching for cosmological variation of the proton-to-electron mass ratio using a single $H_2$ system
• Testing bound dark energy with cosmological parameter and fundamental constant evolution