The tau (τ), also called the tau lepton, tau particle, or tauon, is an elementary particle similar to the electron, with negative electric charge and a spin of 1/. Together with the electron, the muon, and the three neutrinos, it is a lepton. Like all elementary particles with half-integer spin, the tau has a corresponding antiparticle of opposite charge but equal mass and spin, which in the tau's case is the antitau (also called the positive tau). Tau particles are denoted by
and the antitau by
|Interactions||Gravity, Electromagnetic, Weak|
|Discovered||Martin Lewis Perl et al. (1975)|
|Mean lifetime||×10−13 s2.906(10)|
|Electric charge||−1 e|
|Weak isospin||LH: −1/, RH: 0|
|Weak hypercharge||LH: -1, RH: −2|
Tau leptons have a lifetime of ×10−13 s and a 2.9mass of 776.82 MeV/c2 (compared to 1 for muons and 105.7 MeV/c2 for electrons). Since their interactions are very similar to those of the electron, a tau can be thought of as a much heavier version of the electron. Because of their greater mass, tau particles do not emit as much 0.511 MeV/c2bremsstrahlung radiation as electrons; consequently they are potentially highly penetrating, much more so than electrons.
Because of their short lifetime, the range of the tau is mainly set by their decay length, which is too small for bremsstrahlung to be noticeable. Their penetrating power appears only at ultra-high velocity / ultra-high energy (above PeV energies), when time dilation extends their path-length.
As with the case of the other charged leptons, the tau has an associated tau neutrino, denoted by
The tau was anticipated in a 1971 paper by Yung-Su Tsai. Providing the theory for this discovery, the tau was detected in a series of experiments between 1974 and 1977 by Martin Lewis Perl with his and Tsai's colleagues at the SLAC-LBL group. Their equipment consisted of SLAC's then-new
colliding ring, called SPEAR, and the LBL magnetic detector. They could detect and distinguish between leptons, hadrons and photons. They did not detect the tau directly, but rather discovered anomalous events:
We have discovered 64 events of the form
+ at least two undetected particles
for which we have no conventional explanation.
The need for at least two undetected particles was shown by the inability to conserve energy and momentum with only one. However, no other muons, electrons, photons, or hadrons were detected. It was proposed that this event was the production and subsequent decay of a new particle pair:
This was difficult to verify, because the energy to produce the
pair is similar to the threshold for D meson production. The mass and spin of the tau was subsequently established by work done at DESY-Hamburg with the Double Arm Spectrometer (DASP), and at SLAC-Stanford with the SPEAR Direct Electron Counter (DELCO),
The symbol τ was derived from the Greek τρίτον (triton, meaning "third" in English), since it was the third charged lepton discovered.
The tau is the only lepton that can decay into hadrons – the other leptons do not have the necessary mass. Like the other decay modes of the tau, the hadronic decay is through the weak interaction.
- 25.52% for decay into a charged pion, a neutral pion, and a tau neutrino;
- 10.83% for decay into a charged pion and a tau neutrino;
- 9.30% for decay into a charged pion, two neutral pions, and a tau neutrino;
- 8.99% for decay into three charged pions (of which two have the same electrical charge) and a tau neutrino;
- 2.70% for decay into three charged pions (of which two have the same electrical charge), a neutral pion, and a tau neutrino;
- 1.05% for decay into three neutral pions, a charged pion, and a tau neutrino.
In total, the tau lepton will decay hadronically approximately 64.79% of the time.
- 17.82% for decay into a tau neutrino, electron and electron antineutrino;
- 17.39% for decay into a tau neutrino, muon and muon antineutrino.
The similarity of values of the two branching ratios is a consequence of lepton universality.
Another one is an onium atom
called true tauonium and is difficult to detect due to tau's extremely short lifetime at low (non-relativistic) energies needed to form this atom. Its detection is important for quantum electrodynamics.
- L. B. Okun (1980). Leptons and Quarks. V.I. Kisin (trans.). North-Holland Publishing. p. 103. ISBN 978-0444869241.
Perl, M. L.; Abrams, G.; Boyarski, A.; Breidenbach, M.; Briggs, D.; Bulos, F.; Chinowsky, W.; Dakin, J.; et al. (1975). "Evidence for Anomalous Lepton Production in
Annihilation". Physical Review Letters. 35 (22): 1489. Bibcode:1975PhRvL..35.1489P. doi:10.1103/PhysRevLett.35.1489.
- J. Beringer et al. (Particle Data Group) (2012). "Review of Particle Physics". Physical Review D. 86 (1): 581–651. Bibcode:2012PhRvD..86a0001B. doi:10.1103/PhysRevD.86.010001.
- D. Fargion; P.G. de Sanctis Lucentini; M. de Santis; M. Grossi (2004). "Tau air showers from Earth". The Astrophysical Journal. 613 (2): 1285–1301. arXiv:hep-ph/0305128. Bibcode:2004ApJ...613.1285F. doi:10.1086/423124.
- Tsai, Yung-Su (1 November 1971). "Decay correlations of heavy leptons in e+ + e− → l+ + l−". Physical Review D. 4 (9): 2821. Bibcode:1971PhRvD...4.2821T. doi:10.1103/PhysRevD.4.2821.
- M.L. Perl (1977). "Evidence for, and properties of, the new charged heavy lepton" (PDF). In T. Thanh Van. Proceedings of the XII Rencontre de Moriond. SLAC-PUB-1923.
- Riazuddin (2009). "Non-standard interactions" (PDF). NCP 5th Particle Physics Sypnoisis. 1 (1): 1–25.
- Brodsky, Stanley J.; Lebed, Richard F. (2009). "Production of the Smallest QED Atom: True Muonium (μ+μ−)". Physical Review Letters. 102 (21): 213401. arXiv:0904.2225. Bibcode:2009PhRvL.102u3401B. doi:10.1103/PhysRevLett.102.213401. PMID 19519103.