Lorentz and CPT Tests Using Penning Traps

Abstract

The theoretical prospects for quantum electrodynamics with Lorentz-violating operators of mass dimensions up to six are revisited in this work. The dominant effects due to Lorentz and CPT violation are studied in measurements of magnetic moments of particles confined in Penning traps. Using recently reported experimental results, new coefficients for Lorentz violation are constrained and existing bounds of various coefficients are improved.

Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps

“…Taking published results including the sidereal studies from Penning-trap experiments, we extract first-time constraints on 69 SME coefficients. The results obtained in this work are complementary to existing ones from comparisons of the g factors between particles and antiparticles in Penningtrap experiments [8,16], the studies of the anomalous magnetic moment of muons confined in a storage ring [23,24], the spectroscopic investigations of hydrogen, antihydrogen, and other related systems [25], and clockcomparison experiments [26].…”

“…The above result (16) shows that the shifts in the cyclotron frequencies due to Lorentz and CPT violation depend only on three tilde quantitiesb 03 w ,c 00 w þc 11 w þc 22 w , andb 311 w þb 322 w in the apparatus frame, among which the piecec 00 w is invariant under rotations but breaks Lorentz symmetry under boosts, while the others violate Lorentz symmetry under both rotations and boosts. All of tilde quantities involve a mixture of CPT-even and CPT-odd coefficients.…”

“…All of tilde quantities involve a mixture of CPT-even and CPT-odd coefficients. No F-type coefficients for Lorentz violation appear in result (16) as they produce energy shift contributions that are independent of the Landau level number n, as evident from the result 7, and hence are unobservable in the cyclotron frequency shifts.…”

“…The corresponding cyclotron frequency shifts for antiparticlesw ¼ e þ andp can be obtained from (16) by replacing the usual tilde quantities by the corresponding starred ones, given by…”

“…It was recently extended to the nonminimal SME by including Lorentz-and CPT-violating operators of dimensions up to six, together with applications to Penning-trap experiments comparing the g factors between a particle and an antiparticle [8]. The searches for the effects arising from sidereal variations in these experiments have also been discussed [15][16][17].…”