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Hadronic uncertainties versus new physics for the W boson mass and Muon g − 2 anomalies

Author

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  • Peter Athron

    (Nanjing Normal University)

  • Andrew Fowlie

    (Nanjing Normal University)

  • Chih-Ting Lu

    (Nanjing Normal University)

  • Lei Wu

    (Nanjing Normal University)

  • Yongcheng Wu

    (Nanjing Normal University)

  • Bin Zhu

    (Yantai University)

Abstract

There are now two single measurements of precision observables that have major anomalies in the Standard Model: the recent CDF measurement of the W mass shows a 7σ deviation and the Muon g − 2 experiment at FNAL confirmed a long-standing anomaly, implying a 4.2σ deviation. Doubts regarding new physics interpretations of these anomalies could stem from uncertainties in the common hadronic contributions. We demonstrate that these two anomalies pull the hadronic contributions in opposite directions by performing electroweak fits in which the hadronic contribution was allowed to float. The fits show that including the g − 2 measurement worsens the tension with the CDF measurement and conversely that adjustments that alleviate the CDF tension worsen the g − 2 tension beyond 5σ. This means that if we adopt the CDF W mass measurement, the case for new physics in either the W mass or muon g − 2 is inescapable regardless of the size of the SM hadronic contributions. Lastly, we demonstrate that a mixed scalar leptoquark extension of the Standard Model could explain both anomalies simultaneously.

Suggested Citation

  • Peter Athron & Andrew Fowlie & Chih-Ting Lu & Lei Wu & Yongcheng Wu & Bin Zhu, 2023. "Hadronic uncertainties versus new physics for the W boson mass and Muon g − 2 anomalies," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-36366-7
    DOI: 10.1038/s41467-023-36366-7
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    1. Sz. Borsanyi & Z. Fodor & J. N. Guenther & C. Hoelbling & S. D. Katz & L. Lellouch & T. Lippert & K. Miura & L. Parato & K. K. Szabo & F. Stokes & B. C. Toth & Cs. Torok & L. Varnhorst, 2021. "Leading hadronic contribution to the muon magnetic moment from lattice QCD," Nature, Nature, vol. 593(7857), pages 51-55, May.
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