Muon Loss Rates from Betatron Resonances at the Muon g-2 Storage Ring at Fermilab
AbstractThe Muon g−2 Experiment at Fermilab (E989) is directed toward measuring the
muon magnetic anomaly, aμ=(g−2)/2, with total statistical and systematic errors of
0.14 ppm. This new measurement will serve as strong probe of effects of as yet
undiscovered particles beyond the Standard Model (SM), and perhaps validate or
disprove other theoretical models beyond the SM. Of special interest is the reduction of
muon losses from the storage ring to achieve the precision needed at the Muon g−2
Experiment. For this purpose, we have developed a detailed and precise symplectic
model of the Muon g−2 Storage Ring using COSY INFINITY that considers measured
inhomogeneities of the magnetic field; high-order representation of the Electrostatic
Quadrupole System (EQS) electrostatic field at different stages of the experiment
including fringe fields; injection to the ring based on measurements; and beam
collimation. Specifically, we have performed numerical analyses of the rate of muons
that are lost before they have a chance to decay for several possible configurations of
the EQS in order to find the best possible scenarios that minimize muon losses and
understand the resonance mechanisms that contribute to betatron and possibly spin
resonances. Additionally, comparisons with measurements have permitted the
determination of whether observed resonances come from anticipated features of the
g−2 storage ring or from unexpected sources of error whose effect could be
detrimental to the precision of E989.
D. Tarazona, M. Berz, K. Makino,
Int. Journal of Modern Physics A, 34, 36 (2019) 1942008.
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