Abstract
This paper provides a detailed description of the method for the first direct measurement of all Michel parameters in the τ− → μ−\( \overline{\nu} \)μντ decay related to the polarization of the daughter muon. An application of the suggested method in the existing and future experiments at e+e− colliders is considered. We have performed a feasibility study for the future Super Charm-Tau Factory and Belle II experiments. For the first one, the sensitivity to the Michel parameters ξ′, ξ′′, η′′, α′/A, and β′/A is estimated. For the latter, only one Michel parameter, ξ′, for which the sensitivity is maximum, is considered.
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W. Fetscher, H.J. Gerber and K.F. Johnson, Muon decay: complete determination of the interaction and comparison with the Standard Model, Phys. Lett. B 173 (1986) 102 [INSPIRE].
P. Langacker, Is the Standard Model unique?, Comments Nucl. Part. Phys. 19 (1989) 1 [INSPIRE].
Particle Data Group collaboration, Review of particle physics, PTEP 2020 (2020) 083C01 [INSPIRE].
D. Bryman, V. Cirigliano, A. Crivellin and G. Inguglia, Testing lepton flavor universality with pion, kaon, tau, and beta decays, arXiv:2111.05338 [INSPIRE].
P. Herczeg, On muon decay in left-right symmetric electroweak models, Phys. Rev. D 34 (1986) 3449 [INSPIRE].
M. Krawczyk and D. Temes, 2HDM(II) radiative corrections in leptonic tau decays, Eur. Phys. J. C 44 (2005) 435 [hep-ph/0410248] [INSPIRE].
E.J. Chun and J. Kim, Leptonic precision test of leptophilic two-Higgs-doublet model, JHEP 07 (2016) 110 [arXiv:1605.06298] [INSPIRE].
L. Michel, Interaction between four half spin particles and the decay of the μ meson, Proc. Phys. Soc. A 63 (1950) 514 [INSPIRE].
Belle collaboration, Measurement of the tau Michel parameters \( \overline{\eta} \) and ξκ in the radiative leptonic decay τ− → ℓ−ντ\( \overline{\nu} \)ℓγ, PTEP 2018 (2018) 023C01 [arXiv:1709.08833] [INSPIRE].
A. Flores-Tlalpa, G. López Castro and P. Roig, Five-body leptonic decays of muon and tau leptons, JHEP 04 (2016) 185 [arXiv:1508.01822] [INSPIRE].
Belle collaboration, Study of tau five-body leptonic decays at Belle, Nucl. Part. Phys. Proc. 287-288 (2017) 212 [INSPIRE].
Belle collaboration, Study of five-body leptonic decays of tau at Belle experiment, J. Phys. Conf. Ser. 912 (2017) 012002 [INSPIRE].
Belle-II collaboration, The Belle II physics book, PTEP 2019 (2019) 123C01 [Erratum ibid. 2020 (2020) 029201] [arXiv:1808.10567] [INSPIRE].
Charm-Tau Factory collaboration, Project of a super charm-tau factory at the Budker institute of nuclear physics in Novosibirsk, Phys. Atom. Nucl. 76 (2013) 1072 [Yad. Fiz. 76 (2013) 1132] [INSPIRE].
Q. Luo and D. Xu, Progress on preliminary conceptual study of HIEPA, a super tau-charm factory in China, in Proc. 9th Int. Particle Accelerator Conf. IPAC2018, Canada (2018).
W. Fetscher, Leptonic tau decays: how to determine the Lorentz structure of the charged leptonic weak interaction by experiment, Phys. Rev. D 42 (1990) 1544 [INSPIRE].
R.A. Mann and M.E. Rose, Depolarization of negative mu mesons, Phys. Rev. 121 (1961) 293 [INSPIRE].
D.A. Bodrov, Measurement of the Michel parameter ξ’ of the leptonic τ-decay at the future super charm-tau factory, Bull. Lebedev Phys. Inst. 48 (2021) 18.
D.A. Bodrov, Measurement of the Michel parameter ξ’ in tau-lepton decays at the super charm-tau factory, Phys. Atom. Nucl. 84 (2021) 212 [Yad. Fiz. 84 (2021) 171] [INSPIRE].
F. Scheck, Leptons, hadrons and nuclei, North-Holland, Amsterdam, The Netherlands (1983).
K. Mursula and F. Scheck, Analysis of leptonic charged weak interactions, Nucl. Phys. B 253 (1985) 189 [INSPIRE].
V. Bargmann, L. Michel and V.L. Telegdi, Precession of the polarization of particles moving in a homogeneous electromagnetic field, Phys. Rev. Lett. 2 (1959) 435 [INSPIRE].
Y.S. Tsai, Production of polarized tau pairs and tests of CP-violation using polarized e± colliders near threshold, Phys. Rev. D 51 (1995) 3172 [hep-ph/9410265] [INSPIRE].
D.M. Asner et al., Physics at BES-III, Int. J. Mod. Phys. A 24 (2009) S1 [arXiv:0809.1869] [INSPIRE].
SCTF collaboration, Project of super charm-tau factory, Phys. Atom. Nucl. 83 (2020) 944 [Yad. Fiz. 83 (2020) 521] [INSPIRE].
Belle collaboration, Measurement of Michel parameters in leptonic τ decays at Belle, Nucl. Part. Phys. Proc. 287-288 (2017) 7 [INSPIRE].
C.A. Gagliardi, R.E. Tribble and N.J. Williams, Global analysis of muon decay measurements, Phys. Rev. D 72 (2005) 073002 [hep-ph/0509069] [INSPIRE].
S. Jadach, B.F.L. Ward and Z. Was, The precision Monte Carlo event generator KK for two fermion final states in e+e− collisions, Comput. Phys. Commun. 130 (2000) 260 [hep-ph/9912214] [INSPIRE].
Z. Was, TAUOLA the library for tau lepton decay, and KKMC/KORALB/KORALZ/. . . status report, Nucl. Phys. B Proc. Suppl. 98 (2001) 96 [hep-ph/0011305] [INSPIRE].
S. Jadach, Z. Was, R. Decker and J.H. Kühn, The tau decay library TAUOLA: version 2.4, Comput. Phys. Commun. 76 (1993) 361 [INSPIRE].
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Bodrov, D., Pakhlov, P. A new method for the measurement of the Michel parameters that describe the daughter muon polarization in the τ− → μ−\( \overline{\nu} \)μντ decay. J. High Energ. Phys. 2022, 35 (2022). https://doi.org/10.1007/JHEP10(2022)035
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DOI: https://doi.org/10.1007/JHEP10(2022)035