Tau (particle)

Template:Short description Template:Distinguish Template:Use dmy dates Template:Infobox particle

The tau (Template:Math), also called the tau lepton, tau particle or tauon, is an elementary particle similar to the electron, with negative electric charge and a [[spin-1/2|spin of Template:Sfrac]]. Like the electron, the muon, and the three neutrinos, the tau is a lepton, and like all elementary particles with half-integer spin, the tau has a corresponding antiparticle of opposite charge but equal mass and spin. In the tau's case, this is the "antitau" (also called the positive tau). Tau particles are denoted by the symbol Template:Math and the antitaus by Template:Math.

Tau leptons have a lifetime of Template:Val and a mass of Template:Physconst/c² (compared to Template:Physconst/c² for muons and Template:Physconst/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 bremsstrahlung (braking radiation) as electrons; consequently they are potentially much more highly penetrating than electrons.

Because of its short lifetime, the range of the tau is mainly set by its decay length, which is too small for bremsstrahlung to be noticeable. Its penetrating power appears only at ultra-high velocity and energy (above petaelectronvolt energies), when time dilation extends its otherwise very short path-length.<ref> Template:Cite journal </ref>

As with the case of the other charged leptons, the tau has an associated tau neutrino, denoted by Template:Math.

HistoryEdit

The search for tau started in 1960 at CERN by the Bologna–CERN–Frascati (BCF) group led by Antonino Zichichi. Zichichi came up with the idea of a new sequential heavy lepton, now called tau, and invented a method of search. He performed the experiment at the ADONE facility in 1969 once its accelerator became operational; however, the accelerator he used did not have enough energy to search for the tau particle.<ref> Template:Cite book</ref><ref> Template:Cite book</ref><ref> Template:Cite book</ref>

The tau was independently anticipated in a 1971 article by Yung-su Tsai.<ref> Template:Cite journal </ref> 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 Stanford Linear Accelerator Center (SLAC) and Lawrence Berkeley National Laboratory (LBL) group.<ref name="Perl1975"> Template:Cite journal</ref> Their equipment consisted of SLAC's then-new electron–positron 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
Template:Math + at least two undetected particles

for which we have no conventional explanation."{{#if:|{{#if:|}}

— {{#if:|, in }}Template:Comma separated entries
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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:

Template:Math

This was difficult to verify, because the energy to produce the Template:Math pair is similar to the threshold for D meson production. The mass and spin of the tau were 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 Template:Math was derived from the Greek {{#invoke:Lang|lang}} (triton, meaning "third" in English), since it was the third charged lepton discovered.<ref> Template:Cite conference</ref>

Martin Lewis Perl shared the 1995 Nobel Prize in Physics with Frederick Reines. The latter was awarded his share of the prize for the experimental discovery of the electron neutrino.

Tau decayEdit

File:Feynman diagram of decay of tau lepton.svg

Feynman diagram of the decays of the tau by emission of an off-shell W boson

The tau is the only lepton with enough mass to decay into hadrons. Like the leptonic decay modes of the tau, the hadronic decay is through the weak interaction.<ref name="NCP"> Template:Cite journal</ref>Template:Efn

The branching fractions of the dominant hadronic tau decays are:<ref name="PDG2018"/>

25.49% for decay into a charged pion, a neutral pion, and a tau neutrino;
10.82% for decay into a charged pion and a tau neutrino;
9.26% 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;
2.74% for decay into three charged pions (of which two have the same electrical charge), a neutral pion, and a tau neutrino;
1.04% 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.

The branching fractions of the common purely leptonic tau decays are:<ref name="PDG2018"/>

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 fractions is a consequence of lepton universality.

Exotic atomsEdit

The tau lepton is predicted to form exotic atoms like other charged subatomic particles. One of such consists of an antitau and an electron: Template:Math Template:SubatomicParticle, called tauonium.Template:Citation needed

Another one is an onium atom Template:Math called ditauonium or true tauonium, which is a challenge to detect due to the difficulty to form it from two (opposite-sign) short-lived tau leptons.<ref name="dEnterria1"> Template:Cite journal</ref> Its experimental detection would be an interesting test of quantum electrodynamics.<ref name="dEnterria2"> Template:Cite journal</ref>