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About the polarized $\tau$ -lepton radiative decay

G.I. Gakh
(
- Kharkov, KIPT and
- Kharkov Natl. U.
)
,
M.I. Konchatnij
(
- Kharkov, KIPT and
- Kharkov Natl. U.
)
,
N.P. Merenkov
(
- Kharkov, KIPT and
- Kharkov Natl. U.
)

Sep 26, 2019

19 pages

Published in:

Int.J.Mod.Phys.A 34 (2019) 28, 1950162

Published: Oct 8, 2019

e-Print:

1909.11949 [hep-ph]

DOI:

10.1142/S0217751X19501628

View in:

ADS Abstract Service

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Abstract: (WSP)

The polarization effects in the one-meson radiative decay of the polarized τ lepton, τ−→ π−γν τ, have been investigated. We present the analytical results for the t-distribution of the partial differential widths, which are responsible for different polarization phenomena, in the case of the photon energy cut: ω > X. These quantities depend on the invariant mass squared t of the pseudoscalar meson and photon and the photon energy cut X. Our analytical formulae, in terms of the weak vector and axial-vector form factors, describing the structure-dependent part of the decay amplitude, are valid also for the decay τ±→ K±ν τγ after trivial substitutions of the corresponding constants. We demonstrate the essential decrease of the inner bremsstrahlung contribution in comparison with the structural one with increase of the photon cut energy. In numerical calculations, the vector and axial-vector form factors are determined using the chiral effective theory with resonances (RχT).

Note:

20 pages, 5 figures

12.15.Ji
12.20.Ds
13.35.Dx
τ lepton
radiative decay
polarization phenomena
tau: radiative decay
tau: polarization
polarization: effect
photon: energy

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