Applying Bayesian inference to Galileon solutions of the muon problem

2016/09/30 by Henry Lamm · 3 citations
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Cutoff #Energy (signal processing) #High-Energy Particle Collisions Research #Muon #Muon and positron interactions and applications #Particle physics #Physics #Quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.94.115007

published in Physical review. D/Physical review. D. 94(11) (American Physical Society) · 8 pages, 2 figures, updated to match journal version

openalex publication_date 2016/12/02 · arxiv created 2016/12/06 · arxiv updated 2016/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We derive corrections to atomic energy levels from disformal couplings in Galileon theories. Through Bayesian inference, we constrain the cutoff radii and Galileon scale via these corrections. To connect different atomic systems, we assume the various cutoff radii related by a one-parameter family of solutions. This introduces a new parameter \ensuremathα which is also constrained. In this model, we predict shifts to muonic helium of \ensuremathδE_He³=1.97_\ensuremath-1.87^+9.28 meV and \ensuremathδE_He⁴=1.69_\ensuremath-1.61^+9.25 meV as well as for true muonium, \ensuremathδE_TM=\phantom\rule0ex0ex0.06_\ensuremath-0.05^+0.46 meV.

Citations

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