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The most precise value for the pion mass was determined from a
precision measurement at PSI of the muon momentum in pion decay at rest,
\pi^+ \rightarrow \mu^+ + \nu_{\mu}
π
+
→
μ
+
+
ν
μ
.
The result is
m_{\pi^+} = 139.570\,21(14)
m
π
+
=
139.570
21
(
14
)
~MeV/c
^2
2
.
This value is more precise, however, in agreement with the recent
compilation of the Particle Data Group for
m_{\pi^-}
m
π
−
.
The agreement of
m_{\pi^+}
m
π
+
with the recent measurement. This yields a new quantitative measure of
CPT invariance in the pion sector:
(m_{\pi^+} - m_{\pi^-})/m_{\pi}(\mbox{av}) = (-2.9 \pm 2.0)\cdot 10^{-6}
(
m
π
+
−
m
π
−
)
/
m
π
(
av
)
=
(
−
2.9
±
2.0
)
⋅
10
−
6
,
an improvement by two orders of magnitude.