Muon g-2, Long-Range Muon Spin Force, and Neutrino Oscillations

Kavli Affiliate: Jia Liu

| First 5 Authors: Rundong Fang, Jiheng Guo, Jia Liu, Xiao-Ping Wang,

| Summary:

Recent studies have proposed using a geocentric muon spin force to account
for the $(g-2)_mu$ anomaly, with the long-range force mediator being a light
axion-like particle. The mediator exhibits a CP-violating scalar coupling to
nucleons and a normal derivative coupling to muons. Due to the weak symmetry,
this axion inevitably couples to neutrinos, providing potential impact on
neutrino oscillations. By utilizing neutrino data from BOREXINO, IceCube
DeepCore, Super-Kamiokande, and SNO, we have identified that atmospheric
neutrino data can impose stringent constraints on the long-range muon spin
force model and the $(g-2)_mu$ parameter space. Additionally, solar neutrino
data places a strong limit on the model but provides a weaker constraint on the
$(g-2)_mu$ parameter space due to a sign mismatch. With optimized data
analysis techniques and the potential from future experiments, such as JUNO,
Hyper-Kamiokande, SNO+, and IceCube PINGU, there exists a promising opportunity
to achieve even greater sensitivities. Indeed, neutrino oscillations offer a
robust and distinctive cross-check for the model, offering stringent
constraints on the $(g-2)_mu$ parameter space.

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