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

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
 2009
MUG2 $\pm{}$ Storage ring
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.1$ $\pm1.0$ 2
 2009
MUG2 + Storage ring
$-0.1$ $\pm0.7$ 3
 2009
MUG2 - Storage ring
$-3.7$ $\pm3.4$ 4
 1978
CNTR $\pm{}$ Storage ring
$8.6$ $\pm4.5$
 1978
CNTR + Storage ring
$0.8$ $\pm4.3$
 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 Also reported as the limit of $\vert$d(${{\mathit \mu}^{+}}$ )$\vert$ $<$ $2.1 \times 10^{-19}$ $\mathit e$ cm at 95$\%$ CL.
 3 Also reported as the limit of $\vert$d(${{\mathit \mu}^{-}}$ )$\vert$ $<$ $1.5 \times 10^{-19}$ $\mathit e$ cm at 95$\%$ CL.
 4 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:
 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