Gain measurement scheme for precise determination of atomic parity violation through two-pathway coherent control

Choi, Jihye; Sutherland, R. T.; Toh, George; Damitz, Amy; Elliott, D. S.

doi:10.48550/arxiv.1808.00384

Cited by 3 publications

(6 citation statements)

References 59 publications

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“…The atoms and ions of interest for atomic parity violation measurements include Cs [8,9], Fr [10][11][12], Ba + [13,14], and Ra + [15]. The highest precision in atomic parity violation studies has been reached for 133 Cs, the measurement accurate to 0.35% [16] and calculations accurate to within 0.5% [6,7,17,18].…”

Section: Introductionmentioning

confidence: 99%

Testing atomic wave functions in the nuclear vicinity: The hyperfine structure with empirically deduced nuclear and quantum electrodynamic effects

Ginges

Volotka

2018

Phys. Rev. A

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Calculations of the magnetic hyperfine structure rely on the input of nuclear properties -nuclear magnetic moments and nuclear magnetization distributions -as well as quantum electrodynamic (QED) radiative corrections for high-accuracy evaluation in heavy atoms. The uncertainties associated with assumed values of these properties limit the accuracy of hyperfine calculations. For example, for the heavy alkali-metal atoms Cs and Fr, these uncertainties may amount collectively to almost 1% or 2%, respectively. In this paper we propose a method for removing the dependence of hyperfine structure calculations on assumed values of nuclear magnetic moments and nuclear magnetization distributions by determining these effects empirically from measurements of the hyperfine structure for high states. The method is valid for s, p 1/2 , and p 3/2 states of alkali-metal atoms and alkali-metal-like ions. We have shown that for s states the dependence on QED effects may also be removed to high accuracy. The ability to probe the electronic wave functions, through hyperfine comparisons, with significantly increased accuracy is important for the analysis of atomic parity violation measurements and may enable the accuracy of atomic parity violation calculations to be improved. More broadly, it opens the way for further development of high-precision atomic many-body methods.arXiv:1707.00551v2 [physics.atom-ph]

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Section: Introductionmentioning

confidence: 99%

Testing atomic wave functions in the nuclear vicinity: The hyperfine structure with empirically deduced nuclear and quantum electrodynamic effects

Ginges

Volotka

2018

Phys. Rev. A

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“…Currently, the best APV result provides a confirmation of the SM prediction of the 133 Cs nuclear weak charge at the level of 0.35% accuracy [1]. Future APV experiments with expected accuracy 0.1-0.2% [2][3][4][5][6][7][8][9] may help resolve the tension between high-energy Z-pole measurements of sin 2 θ W (here θ W is the weak mixing angle) [10,11] when extrapolated to the APV scale. APV experiments are also uniquely sensitive to a certain class of new physics to which high-energy probes are blind.…”

Section: Introductionmentioning

confidence: 92%

“…The use of APV to constrain physics beyond the SM relies on precise measurement of the APV amplitude E PV , accurate theoretical calculation of the atomic structure factor k PV needed for extracting the nuclear weak charge Q W via E PV = k PV Q W , and exact knowledge of the SM prediction for Q W against which the experimentally extracted value is compared. The most accurate measurement of E PV comes from the Boulder group for 133 Cs with an uncertainty of 0.35% [1], although a new experiment is being planned with an aim of a 0.2% accuracy [4,5].…”

Section: Introductionmentioning

confidence: 99%

Implications of W-Boson Mass Anomaly for Atomic Parity Violation

Tan

Derevianko

2022

Atoms

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We consider the implications of the recent measurement of the W-boson mass MW=80,433.5±9.4MeV/c2 for atomic parity violation experiments. We show that the change in MW shifts the Standard Model prediction for the 133Cs nuclear weak charge to QW(133Cs)=−73.11(1), i.e., by 8.5σ from its current value, and the proton weak charge by 2.7%. The shift in QW(133Cs) ameliorates the tension between existing determinations of its value and motivates more accurate atomic theory calculations, while the shift in QW(p) inspires next-generation atomic parity violation experiments with hydrogen. Using our revised value for QW(133Cs), we also readjust constraints on parameters of physics beyond the Standard Model. Finally, we reexamine the running of the electroweak coupling for the new W boson mass.

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“…A full implementation of the PM-CCSDvT calculation based on the strategy mapped out here will be a subject of our future work. The result of this computation will help with the interpretation of the next generation searches for new physics with atomic parity violation (APV) [20,21]. In addition, since there are multiple implementations of relativistic PP-CC methods, especially in the quantum chemistry community, our theoretical formulation may be useful in the work of other groups.…”

Section: Coulomb Interaction Correctionsmentioning

confidence: 99%

“…Following this discovery, several APV experiments were performed for cesium [7][8][9][10][11], bismuth [12], lead [13,14], thallium [15,16] and ytterbium [17]. New APV experiments are underway or in the planning stage [18][19][20][21][22][23][24][25] (see also the review [26] and references therein), with the aim of attaining a ∼ 0.1% accuracy in 133 Cs.…”

Section: Introductionmentioning

confidence: 99%

Parity-mixed coupled-cluster formalism for computing parity-violating amplitudes

Tan,

Xiao,

Derevianko

2021

Preprint

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We formulate a parity-mixed coupled-cluster (PM-CC) approach for high-precision calculations of parity non-conserving amplitudes in mono-valent atoms. Compared to the conventional formalism which uses parity-proper (PP) one-electron orbitals, the PM-CC method is built using parity-mixed (PM) orbitals. The PM orbitals are obtained by solving the Dirac-Hartree-Fock equation with the electron-nucleus electroweak interaction included (PM-DHF). There are several advantages to such a PM-CC formulation: (i) reduced role of correlations, as for the most experimentally-accurate to date 133 Cs 6S 1/2 − 7S 1/2 transition, the PM-DHF result is only 3% away from the accurate many-body value, while the conventional DHF result is off by 18%; (ii) avoidance of directly summing over intermediate states in expressions for parity non-conserving amplitudes which reduces theoretical uncertainties associated with highly-excited and core-excited intermediate states, and (iii) relatively straightforward upgrade of existing and well-tested large-scale PP-CC codes. We reformulate the CC method in terms of the PM-DHF basis and demonstrate that the cluster amplitudes are complex numbers with opposite parity real and imaginary parts. We then use this fact to map out a strategy through which the new PM-CC scheme may be implemented.

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Gain measurement scheme for precise determination of atomic parity violation through two-pathway coherent control

Cited by 3 publications

References 59 publications

Testing atomic wave functions in the nuclear vicinity: The hyperfine structure with empirically deduced nuclear and quantum electrodynamic effects

Testing atomic wave functions in the nuclear vicinity: The hyperfine structure with empirically deduced nuclear and quantum electrodynamic effects

Implications of W-Boson Mass Anomaly for Atomic Parity Violation

Parity-mixed coupled-cluster formalism for computing parity-violating amplitudes

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