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- W3215055153 abstract "The ratios ${R}_{ensuremath{tau}/P}ensuremath{equiv}mathrm{ensuremath{Gamma}}(ensuremath{tau}ensuremath{rightarrow}P{ensuremath{nu}}_{ensuremath{tau}}[ensuremath{gamma}])/mathrm{ensuremath{Gamma}}(Pensuremath{rightarrow}ensuremath{mu}{ensuremath{nu}}_{ensuremath{mu}}[ensuremath{gamma}])$ ($P=ensuremath{pi}$, $K$) provide sensitive tests of lepton universality $|{g}_{ensuremath{tau}}/{g}_{ensuremath{mu}}|=1$ and are a useful tool for new physics searches. The radiative corrections to ${R}_{ensuremath{tau}/P}$ 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 $ensuremath{delta}{R}_{ensuremath{tau}/ensuremath{pi}}=(0.18ifmmodepmelsetextpmfi{}0.57)%$ and $ensuremath{delta}{R}_{ensuremath{tau}/K}=(0.97ifmmodepmelsetextpmfi{}0.58)%$, which imply ${|{g}_{ensuremath{tau}}/{g}_{ensuremath{mu}}|}_{ensuremath{pi}}=0.9964ifmmodepmelsetextpmfi{}0.0038$ and ${|{g}_{ensuremath{tau}}/{g}_{ensuremath{mu}}|}_{K}=0.9857ifmmodepmelsetextpmfi{}0.0078$, compatible with and at $1.8ensuremath{sigma}$ of lepton universality, respectively. We test unitarity and bind nonstandard effective interactions with the $ensuremath{tau}ensuremath{rightarrow}P{ensuremath{nu}}_{ensuremath{tau}}[ensuremath{gamma}]$ decays." @default.
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- W3215055153 date "2021-11-29" @default.
- W3215055153 modified "2023-10-14" @default.
- W3215055153 title "Radiative corrections to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>τ</mml:mi><mml:mo stretchy=false>→</mml:mo><mml:mi>π</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>K</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:msub><mml:mi>ν</mml:mi><mml:mi>τ</mml:mi></mml:msub><mml:mo stretchy=false>[</mml:mo><mml:mi>γ</mml:mi><mml:mo stretchy=false>]</mml:mo></mml:math> : A reliable new physics test" @default.
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- W3215055153 doi "https://doi.org/10.1103/physrevd.104.l091502" @default.
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