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Applying Bayesian Inference to Galileon Solutions of the Muon Problem

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arxiv 1609.07520 v3 pith:Q7O536WI submitted 2016-09-23 hep-ph

classification hep-ph
keywords deltagalileonatomicbayesiancorrectionscutoffinferenceradii
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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 $\alpha$ which is also constrained. In this model, we predict shifts to muonic helium of $\delta E_{He^3}=1.97^{+9.28}_{-1.87}$ meV and $\delta E_{He^4}=1.69^{+9.25}_{-1.61}$ meV as well as for true muonium, $\delta E_{TM}=0.06^{+0.46}_{-0.05}$ meV.

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Cited by 1 Pith paper

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  1. Searching for True Muonium in Relativistic Heavy Ion Collisions

    nucl-th 2025-05 reject novelty 6.0 of 10

    The paper predicts effective true muonium production cross sections of 1.23 μb in 200 GeV AuAu and 14.2 μb in 5.02 TeV PbPb collisions, corresponding to O(10^4) and O(10^5) atoms per billion central events.

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