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Radiative corrections to $\tau \to \pi (K) \nu_\tau [\gamma]$: a reliable new physics test
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abstract
The ratios $R_{\tau/P}\equiv \Gamma(\tau \to P \nu_\tau [\gamma]) / \Gamma(P \to\mu \nu_\mu[\gamma])$ ($P=\pi, K$) provide sensitive tests of lepton universality $\left|g_\tau/g_\mu\right|=1$ and are a useful tool for new physics searches. The radiative corrections to $R_{\tau/P}$ are computed following a large-$N_C$ expansion to deal with hadronic effects: Chiral Perturbation Theory is enlarged by including the lightest multiplets of spin-one heavy states such that the relevant Green functions are well-behaved at high energies. We find $\delta R_{\tau/\pi}=(0.18\pm 0.57 )\%$ and $\delta R_{\tau/K}=(0.97\pm 0.58 )\%$, which imply $\left|g_\tau/g_\mu\right|_\pi=0.9964\pm 0.0038$ and $\left|g_\tau/g_\mu\right|_K=0.9857\pm 0.0078$, compatible with and at $1.8\sigma$ of lepton universality, respectively. We test unitarity and bind non-standard effective interactions with the $\tau \to P \nu_\tau [\gamma]$ decays.
Forward citations
Cited by 4 Pith papers
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Comment on "Radiative corrections to tau -> pi(K) nu_tau[gamma]: A reliable new physics test"
The GR10–DF dictionary has the wrong axial sign, so GR10 matches the chiral axial prediction but opposes the anomaly in the vector sector; the numerical shift in δr_SD is tiny (−0.004% for pions).
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CP violation studies at Super Tau-Charm Facility
A future Super Tau-Charm Facility is projected to test CP violation in hyperon, tau, and charm decays at 1e-4 to 1e-3 sensitivities and improve the kaon CPT mass-difference limit tenfold.
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Radiative corrections to one- and two-meson tau decays for precise new physics tests
Improved radiative corrections bring the pion tau-decay ratio into one-sigma agreement with lepton universality and sharpen CKM-unitarity and non-standard-interaction constraints.
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