Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910640294068224 |
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| author | Cadeddu, Matteo Cargioli, Nicola Erler, Jens Gorchtein, Mikhail Piekarewicz, Jorge Roca-Maza, Xavier Spiesberger, Hubert |
| author_facet | Cadeddu, Matteo Cargioli, Nicola Erler, Jens Gorchtein, Mikhail Piekarewicz, Jorge Roca-Maza, Xavier Spiesberger, Hubert |
| contents | We study the impact of nuclear structure uncertainties on a measurement of the weak charge of $^{12}\mathrm{C}$ at the future MESA facility in Mainz. Information from a large variety of nuclear models, accurately calibrated to the ground-state properties of selected nuclei, suggest that a $0.3$% precision measurement of the parity-violating asymmetry at forward angles will not be compromised by nuclear structure effects, thereby allowing a world-leading determination of the weak charge of $^{12}\mathrm{C}$. Furthermore, we show that a combination of measurements of the parity-violating asymmetry at forward and backward angles for the same electron beam energy can be used to extract information on the nuclear weak charge distribution. We conclude that a $0.34$% precision on the weak radius of $^{12}\mathrm{C}$ may be achieved by performing a $3$% precision measurement of the parity-violating asymmetry at backward angles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$ Cadeddu, Matteo Cargioli, Nicola Erler, Jens Gorchtein, Mikhail Piekarewicz, Jorge Roca-Maza, Xavier Spiesberger, Hubert High Energy Physics - Phenomenology Nuclear Theory We study the impact of nuclear structure uncertainties on a measurement of the weak charge of $^{12}\mathrm{C}$ at the future MESA facility in Mainz. Information from a large variety of nuclear models, accurately calibrated to the ground-state properties of selected nuclei, suggest that a $0.3$% precision measurement of the parity-violating asymmetry at forward angles will not be compromised by nuclear structure effects, thereby allowing a world-leading determination of the weak charge of $^{12}\mathrm{C}$. Furthermore, we show that a combination of measurements of the parity-violating asymmetry at forward and backward angles for the same electron beam energy can be used to extract information on the nuclear weak charge distribution. We conclude that a $0.34$% precision on the weak radius of $^{12}\mathrm{C}$ may be achieved by performing a $3$% precision measurement of the parity-violating asymmetry at backward angles. |
| title | Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on $^{12}\mathrm{C}$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2407.09743 |