Implications of W-Boson Mass Anomaly for Atomic Parity Violation
We consider the implications of the recent measurement of the W-boson mass <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>M</mi><mi>W</mi></msub><mo>=&l...
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2022-12-01
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author | Hoang Bao Tran Tan Andrei Derevianko |
author_facet | Hoang Bao Tran Tan Andrei Derevianko |
author_sort | Hoang Bao Tran Tan |
collection | DOAJ |
description | We consider the implications of the recent measurement of the W-boson mass <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>M</mi><mi>W</mi></msub><mo>=</mo><mn>80,433.5</mn><mo>±</mo><mn>9.4</mn><mspace width="0.166667em"></mspace><mrow><mi>MeV</mi><mo>/</mo><msup><mi mathvariant="normal">c</mi><mn>2</mn></msup></mrow></mrow></semantics></math></inline-formula> for atomic parity violation experiments. We show that the change in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>M</mi><mi>W</mi></msub></semantics></math></inline-formula> shifts the Standard Model prediction for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>133</mn></msup></semantics></math></inline-formula>Cs nuclear weak charge to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mn>73.11</mn><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, i.e., by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.5</mn><mi>σ</mi></mrow></semantics></math></inline-formula> from its current value, and the proton weak charge by 2.7%. The shift in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> ameliorates the tension between existing determinations of its value and motivates more accurate atomic theory calculations, while the shift in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><mi>p</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> inspires next-generation atomic parity violation experiments with hydrogen. Using our revised value for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, 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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institution | Directory Open Access Journal |
issn | 2218-2004 |
language | English |
last_indexed | 2024-03-09T17:20:31Z |
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spelling | doaj.art-ca957c0dbc054fdd9497408bd9f001992023-11-24T13:14:30ZengMDPI AGAtoms2218-20042022-12-0110414910.3390/atoms10040149Implications of W-Boson Mass Anomaly for Atomic Parity ViolationHoang Bao Tran Tan0Andrei Derevianko1Department of Physics, University of Nevada, Reno, NV 89557, USADepartment of Physics, University of Nevada, Reno, NV 89557, USAWe consider the implications of the recent measurement of the W-boson mass <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>M</mi><mi>W</mi></msub><mo>=</mo><mn>80,433.5</mn><mo>±</mo><mn>9.4</mn><mspace width="0.166667em"></mspace><mrow><mi>MeV</mi><mo>/</mo><msup><mi mathvariant="normal">c</mi><mn>2</mn></msup></mrow></mrow></semantics></math></inline-formula> for atomic parity violation experiments. We show that the change in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>M</mi><mi>W</mi></msub></semantics></math></inline-formula> shifts the Standard Model prediction for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>133</mn></msup></semantics></math></inline-formula>Cs nuclear weak charge to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mn>73.11</mn><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, i.e., by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>8.5</mn><mi>σ</mi></mrow></semantics></math></inline-formula> from its current value, and the proton weak charge by 2.7%. The shift in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> ameliorates the tension between existing determinations of its value and motivates more accurate atomic theory calculations, while the shift in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><mi>p</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> inspires next-generation atomic parity violation experiments with hydrogen. Using our revised value for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Q</mi><mi>W</mi></msub><mrow><mo>(</mo><msup><mrow></mrow><mn>133</mn></msup><mi>Cs</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, 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.https://www.mdpi.com/2218-2004/10/4/149W-boson mass anomalyatomic parity violationphysics beyond the standard model |
spellingShingle | Hoang Bao Tran Tan Andrei Derevianko Implications of W-Boson Mass Anomaly for Atomic Parity Violation Atoms W-boson mass anomaly atomic parity violation physics beyond the standard model |
title | Implications of W-Boson Mass Anomaly for Atomic Parity Violation |
title_full | Implications of W-Boson Mass Anomaly for Atomic Parity Violation |
title_fullStr | Implications of W-Boson Mass Anomaly for Atomic Parity Violation |
title_full_unstemmed | Implications of W-Boson Mass Anomaly for Atomic Parity Violation |
title_short | Implications of W-Boson Mass Anomaly for Atomic Parity Violation |
title_sort | implications of w boson mass anomaly for atomic parity violation |
topic | W-boson mass anomaly atomic parity violation physics beyond the standard model |
url | https://www.mdpi.com/2218-2004/10/4/149 |
work_keys_str_mv | AT hoangbaotrantan implicationsofwbosonmassanomalyforatomicparityviolation AT andreiderevianko implicationsofwbosonmassanomalyforatomicparityviolation |