Abstract
We study the renormalization group running of axion couplings while taking into account that the Standard Model can be extended to its supersymmetric extension at a certain energy scale below the axion decay constant. We then apply our results to three different classes of axion models, i.e. KSVZ-like, DFSZ-like, and string-theoretic axions, and examine if string-theoretic axions can be distinguished from others by having a different pattern of low energy couplings to the photon, nucleons and electron. We find that the low energy couplings of string-theoretic axions have a similar pattern as those of KSVZ-like axions but yet reveal a sizable difference which might be testable in future axion search experiments. We also note that the coupling of KSVZ-like QCD axions to the electron is dominated by a three-loop contribution involving the exotic heavy quark, gluons, top quark and Higgs field.
Highlights
JHEP08(2021)058 which are phenomenologically viable and have been widely discussed in the literature:1 the Kim-Shifman-Vainshtein-Zakharov (KSVZ) axion models [11, 12] in which all SM fields are neutral under the linearly-realized U(1)PQ and the Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) axion models [13, 14] in which the SM fermions carry nonzero U(1)PQ-charges
We study the renormalization group running of axion couplings while taking into account that the Standard Model can be extended to its supersymmetric extension at a certain energy scale below the axion decay constant
We find that the low energy couplings of string-theoretic axions have a similar pattern as those of KSVZ-like axions but yet reveal a sizable difference which might be testable in future axion search experiments
Summary
We discuss the axion couplings to gauge and matter fields at the UV boundary scale μ ∼ fa in models of KSVZ-like, DFSZ-like, and string-theoretic axions. CΨ0 (Ψ = u, d, e) denote the axion couplings to the light quarks and electron evaluated at tree-level, which can be interpreted as the couplings at the UV boundary scale μ = fa in our approximation, ∆CΨ are radiative corrections to CΨ received over the scales from fa to μ = O(1) GeV, which will be extensively discussed, cφ(fa) and cψ(fa) are the axion couplings at μ = fa including the couplings to the Higgs doublet H and the three generations of chiral quarks and leptons ψ = {Qi, uci , dci , Li, eci } (i = 1, 2, 3), which would be determined by the underlying UV-completed axion model, and the effects of flavor mixing are ignored for simplicity.
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