A new ring structure for muon (g−2) measurements

Abstract

In this storage ring of discrete magnets with uniform field and edge focusing, the field averaged over the orbit is independent of orbit radius (particle momentum). This ring is suitable for measuring the anomalous magnetic moment of the muon. The field, averaged over the orbit, can be calibrated by injecting horizontally polarized protons of the same momentum and measuring the proton (g − 2) precession. The experiment then measures the ratio of muon to proton anomalous moments. A measurement of muon (g-2) at the level of 0.03 ppm appears feasible.

Flavor physics of leptons and dipole moments

“…To go further would probably require a new technique. One possibility discussed by Farley [1089] would be to use muons at much higher energy, say 15 GeV, which would increase the number of precessions that can be observed. The storage ring would consist of a small number of discrete magnets with uniform field and edge focusing and the field averaged over the orbit would be independent of orbit radius (particle momentum).…”

Muon anomaly from lepton vacuum polarization and the Mellin-Barnes representation

“…(4.5) (the second line in this equation). The origin of this singularity is the moment 0 ðsÞ, which is singular at s ¼ À1=2; the other factors are regular: ÀðÀ1=2ÞÀð1 þ 1=2Þ ¼ À and R 1 ð1=2Þ ¼ À 4 . Again, the residue of the 1 sþ1=2 singularity of 0 ðsÞ can be read off from the leading term in the asymptotic expansion of the integrand function in Eq.…”

“…The results quoted in (1.1) and (1.2) imply a 3.4 This 3:4 deviation deserves attention. Ideally, and before one can attribute the present discrepancy to new physics, one would like to reduce the theoretical uncertainties as much as possible, parallel to a new experimental effort toward an even more precise measurement of a [3,4]. It is also important to reexamine critically the various theoretical contributions to Eq.…”

Resonance Method of Electric-Dipole-Moment Measurements in Storage Rings.

“…This means that the g-2 frequency does not oscillate together with velocity oscillations, which eliminates the possibility of false resonances imitating the EDM at beam frequencies close to kω a , k > 1. (See [13] for another application of α p = 1 . )…”