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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Main Authors: Hoang Bao Tran Tan, Andrei Derevianko
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Atoms
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Online Access:https://www.mdpi.com/2218-2004/10/4/149
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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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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