Towards an Improved Test of the Standard Model’s Most Precise Prediction

Gabrielse, Gerald; Fayer, S. E.; Myers, Thomas G.; Fan, X.

doi:10.3390/atoms7020045

Cited by 40 publications

(45 citation statements)

References 36 publications

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“…The experiments to measure the magnetic moment of a trapped positron are currently under development at Harvard University and Northwestern University [4,5]. Performing a similar sidereal-variation analysis of the anomaly frequency would offer not only the first-time limits on the starred tilde coefficients b * J e , b could also be studied by this comparison.…”

Section: Harvard Experimentsmentioning

confidence: 99%

Lorentz and CPT Tests Using Penning Traps

Ding

2019

Symmetry

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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.

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Section: Harvard Experimentsmentioning

confidence: 99%

Lorentz and CPT Tests Using Penning Traps

Ding

2019

Symmetry

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“…This equation gives a value of for x as α −1 ≃ 137.035 999 168. The latest determination from the Gabrielse group [13] is α −1 ≃ 137.035 999 150 (33), from experimental measurement and quantum electrodynamics [14]. This calculation of the inverse fine-structure constant gives the same approximate value as ancient geometry combined with the extension of Raji Heyrovska's work on the golden ratio structure of the hydrogen atom [15].…”

Section: Calculation Of the Fine-structure Constantmentioning

confidence: 81%

Golden Ratio Geometry and the Fine-Structure Constant

Sherbon

2019

SSRN Journal

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The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Keywords fine-structure constant, fundamental constants, history of physics, history of mathematics, golden ratio, quartic equation.

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“…In the latter case the Coriolis frequency vector is just Ω T , to be compared with the Larmor frequency of about ω L = 100 GHz, for an electron in a Penning trap experiment [23,24]. This gives a relative effect ∆ω/ω L ≈ 7 × 10 −16 to be compared with the experimental relative error on g, at present of order O(10 −13 ) and forecasted to reach O(10 −14 ) [25] within one or two years.…”

Section: Discussionmentioning

confidence: 99%

“…In the electron experiments velocities are non-relativistic and so the Coriolis frequency vector is just Ω T . This should be compared with the Larmor frequency of about ω L = 100 GHz, for an electron in a Penning trap experiment [23,24], which gives a relative shift ∆ω/ω L ≈ 7 × 10 −16 , to be compared with the experimental relative error on g, at present of order O(10 −13 ), and forecasted to reach O(10 −14 ) [25] within one or two years from now. In terms of a el ≡ g/2 − 1 the effect amounts to a relative shift ∆a el /a el ≈ 7 × 10 −13 , compared to the experimental relative error ∆a el /a el ≈ O(10 −10 ).…”

Section: Equations Of Motion and Numerical Solutionmentioning

confidence: 99%

On systematic and GR effects on muon g − 2 experiments

Notari¹,

Bertacca²

2019

J. High Energ. Phys.

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We derive in full generality the equations that govern the time dependence of the energy E of the decay electrons in a muon g−2 experiment. We include both electromagnetic and gravitational effects and we estimate possible systematics on the measurements of g − 2 ≡ 2(1 + a), whose experimental uncertainty will soon reach ∆a/a ≈ 10 −7 . In addition to the standard modulation of E when the motion is orthogonal to a constant magnetic field B, with angular frequency ω a = ea|B|/m, we study effects due to: (1) a non constant muon γ factor, in presence of electric fields E, (2) a correction due to a component of the muon velocity along B (the "pitch correction"), (3) corrections to the precession rate due to E fields, (4) non-trivial spacetime metrics. Oscillations along the radial and vertical directions of the muon lead to oscillations in E with a relative size of order 10 −6 , for the BNL g − 2 experiment. We then find a subleading effect in the "pitch" correction, leading to a frequency shift of ∆ω a /ω a ≈ O(10 −9 ) and subleading effects of about ∆ω a /ω a ≈ few × O(10 −8 − 10 −9 ) due to E fields. Finally we show that GR effects are dominated by the Coriolis force, due to the Earth rotation with angular frequency ω T , leading to a correction of about ∆ω a /ω a ≈ ω T /(γω a ) ≈ O(10 −12 ). A similar correction might be more appreciable for future electron g − 2 experiments, being of order ∆ω a /ω a,el ≈ ω T /(ω a,el ) ≈ 7 × 10 −13 , compared to the present experimental uncertainty, ∆a el /a el ≈ 10 −10 , and forecasted to reach soon ∆a el /a el ≈ 10 −11 .

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Towards an Improved Test of the Standard Model’s Most Precise Prediction

Cited by 40 publications

References 36 publications

Lorentz and CPT Tests Using Penning Traps

Lorentz and CPT Tests Using Penning Traps

Golden Ratio Geometry and the Fine-Structure Constant

On systematic and GR effects on muon g − 2 experiments

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