The primary decay mode of a Pion, with probability 0.999877, is a purely Leptonic decay into an anti-Muon and a Muon Neutrino. The second most common decay mode of a Pion, with probability 0.000123, is also a Leptonic decay into an Electron and the corresponding Electron anti-Neutrino. This "electronic mode" was discovered at CERN in 1958.

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The Rare Decay of the Neutral Pion into a Dielectron 18 The subtraction constant for the form factor (9.4), plotted here as a function of a cuto point k= =m

be deduced from experimental data on leptonic pion decays. Here, we provide comments on several aspects of this evaluation. In particular, we point out that at the present level of experimental accuracy, the value of fπ is sensitive to the value of the pion mass chosen in its chiral expansion. The pion decay constant fπ plays a crucial role in many areas of low energy particle physics. Its value may e.g.

Pion decay constant

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In particle physics, a pion is any of three subatomic particles: π0, π+, and π−. Each pion consists of a quark and an antiquark and is therefore a meson. Pions are the lightest mesons and, more generally, the lightest hadrons. They are unstable, with the charged pions π+ and π− decaying after a mean lifetime of 26.033 nanoseconds, and the neutral pion π0 decaying after a much shorter lifetime of 84 attoseconds. Charged pions most often decay into muons and muon neutrinos, while The pion decay constant f_pi plays a crucial role in many areas of low energy particle physics.

A representation of the two-loop contribution to the pion decay constant in SU(3) chiral perturbation theory is presented. The result is analytic up to the contribution  

Its value may e.g. be deduced from experimental data on leptonic pion decays.

We review the relationship between the pion decay constant fπ, the chiral symmetry restoration temperature Tc and the phenomenology of low energy chiral 

be deduced from experimental data on leptonic pion decays. We also obtain exact expressions for the pion decay constant, f_pi, and mass, both of which depend on Gamma_pi; and demonstrate the equivalence between f_pi and the pion Bethe-Salpeter normalisation constant in the chiral limit. We stress the importance of preserving the axial-vector Ward-Takahashi identity in any study of the pion itself, and in any study whose goal is a unified understanding of the properties of the pion and other hadronic bound states. Pion decay in chiral potential 545 the requirement ofchiral symmetry restoration in PCAC-limit. This calculation in low order perturbation theory uses the experimental value of the pion-decay constant i.e. f~=93 MeV and the field pion mass rh,= 140 MeV. The prescription for taking into Abstract: The pion decay constant f_pi plays a crucial role in many areas of low energy particle physics. Its value may e.g.

Pion decay constant

In particular, we point out that at the present level of experimental accuracy, the value of f π is sensitive to 2010-09-27 The pion decay constant fπ plays a crucial role in many areas of low energy particle physics. Its value may e.g. be deduced from experimental data on leptonic pion decays. Here, we provide comments on several aspects of this evaluation. In particular, we point out that at the present level of experimental accuracy, the value of fπ is sensitive to the pion decay constant, f ˇ, and mass, both of which depend on Γ ˇ; and demonstrate the equivalence between f ˇ and the pion Bethe-Salpeter normalisation constant in the chiral limit.
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Pion decay constant

The calculation is done on a quenched 204 lattice at a = 0.148 fm using tree level tadpole improved gauge action. The smallest pion mass we reach is … OSTI.GOV Journal Article: Pion mass and decay constant.. Pion mass and decay constant.

Pions are the lightest mesons and, more generally, the lightest hadrons. They are unstable, with the charged pions π+ and π− decaying after a mean lifetime of 26.033 nanoseconds, and the neutral pion π0 decaying after a much shorter lifetime of 84 attoseconds.
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The pion mass and decay constant at three loops in two-flavour chiral perturbation theory. / Bijnens, Johan; Truedsson, Nils Hermansson. In: Journal of High Energy Physics, Vol. 2017, No. 11, 181, 01.11.2017. Research output: Contribution to journal › Article

Pion mass and its decay constant have been studied in a chiral symmetric potential model of independent quarks. The non-perturbative multi-gluon interaction which is responsible for quark confinement in a hadron is phenomenologically represented here by an effective potential U(r)=½(1 + … Charged Pion Lifetime The matrix element for the weak decay is: M = G√F 2 fπq µ u¯µγµ 1 2 (1− γ5)uν µ where fπ is the charged pion decay constant (probability that quark-antiquark annihilate inside pion) The matrix element squared in the rest frame of the pion is: |M|2 = 4G2 F f 2 πm 2 µ[p3.p4] Γπ = 1 τπ = G2 F 8π f2 πmπm 2 µ 1 − m2 µ m2 π!2 The pion decay constant fπ plays a crucial role in many areas of low energy particle physics. Its value may e.g. be deduced from experimental data on leptonic pion decays. Here, we provide comments on several aspects of this evaluation. Unit of pion-decay constant.