${{\mathit \mu}}$ ELECTRIC DIPOLE MOMENT (d)

INSPIRE   PDGID:
S004EDM
A nonzero value is forbidden by both $\mathit T$ invariance and $\mathit P$ invariance.
VALUE ($ 10^{-19} $ $\mathit e~$cm) CL% DOCUMENT ID TECN CHG  COMMENT
$\bf{<1.8}$ 95 1
BENNETT
2009
MUG2 $\pm{}$ Storage ring
• • We do not use the following data for averages, fits, limits, etc. • •
$<0.19$ 90 2
EMA
2022
theory limit
$-0.1$ $\pm1.0$ 3
BENNETT
2009
MUG2 + Storage ring
$-0.1$ $\pm0.7$ 4
BENNETT
2009
MUG2 - Storage ring
$-3.7$ $\pm3.4$ 5
BAILEY
1978
CNTR $\pm{}$ Storage ring
$8.6$ $\pm4.5$
BAILEY
1978
CNTR + Storage ring
$0.8$ $\pm4.3$
BAILEY
1978
CNTR - Storage ring
1  This is the combination of the two BENNETT 2009 measurements quoted here separately for ${{\mathit \mu}^{+}}$ and ${{\mathit \mu}^{-}}$. The result is also presented as a measurement of ($0.0$ $\pm0.9$) $ \times 10^{-19}\mathit e$ cm.
2  EMA 2022 determine indirect constraints on $\vert {{\mathit \mu}_{{EDM}}}\vert $ from EDM measurements performed on heavy atoms and molecules, based on the muon-loop induced light-by-light CP-odd amplitude.
3  Also reported as the limit of $\vert $d(${{\mathit \mu}^{+}})\vert $ $<$ $2.1 \times 10^{-19}$ $\mathit e$ cm at 95$\%$ CL.
4  Also reported as the limit of $\vert $d(${{\mathit \mu}^{-}})\vert $ $<$ $1.5 \times 10^{-19}$ $\mathit e$ cm at 95$\%$ CL.
5  This is the combination of the two BAILEY 1978 results quoted here separately for ${{\mathit \mu}^{+}}$ and ${{\mathit \mu}^{-}}$. BAILEY 1978 uses the convention d = 1/2 $\cdot{}$ (d$_{{{\mathit \mu}^{+}}}−$ d$_{{{\mathit \mu}^{-}}}$) and reports $3.7$ $\pm3.4$. We convert their result to use the same convention as BENNETT 2009 .
Conservation Laws:
TIME REVERSAL ($\mathit T$) INVARIANCE
PARITY ($\mathit P$) INVARIANCE
References:
EMA 2022
PRL 128 131803 Improved Indirect Limits on Muon Electric Dipole Moment
BENNETT 2009
PR D80 052008 Improved Limit on the Muon Electric Dipole Moment
BAILEY 1978
JP G4 345 New Limits on the Electric Dipole Moment of Positive and Negative Muons
Also
NP B150 1 Final Report on the CERN Muon Storage Ring Including the Anomalous Magnetic Moment and the Electric Dipole Moment of the Muon, and a Direct Test of Relativistic Time Dilation