W boson mass in gauge-Higgs unification

Yutaka Hosotani (Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan) ; Shuichiro Funatsu (Ushiku, Ibaraki 300-1234, Japan) ; Hisaki Hatanaka (Osaka, Osaka 536-0014, Japan) ; Yuta Orikasa (Institute of Experimental and Applied Physics, Czech Technical University in Prague, Husova 240/5, 110 00 Prague 1, Czech Republic) ; Naoki Yamatsu (Department of Physics, National Taiwan University, Taipei, Taiwan 10617, Republic of China)

The W boson mass mW in the grand unified theory inspired SO(5)×U(1)×SU(3) gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay μeν¯eνμ proceeds by the exchange of not only the zero mode of the W boson (W(0)) but also Kaluza-Klein (KK) excited modes W(n) and WR(n) (n1) at the tree level. The anti–de Sitter curvature of the RS space also affects the relationship among the gauge couplings and the ratio of mW to the Z boson mass mZ. The W couplings of leptons and quarks also change. With the given KK mass scale mKK the range of the Aharonov-Bohm phase θH in the fifth dimension is constrained. For mKK=13 TeV, 0.085θH0.11 and 80.381mW80.407 GeV. The predicted value of mW for 13mKK20 TeV lies between mWSM=80.354±0.007 GeV in the standard model and mWCDF=80.4335±0.0094 GeV, the value reported by the CDF Collaboration in 2022.

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      "surname": "Hatanaka", 
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      "surname": "Yamatsu", 
      "given_names": "Naoki", 
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      "title": "<math><mrow><mi>W</mi></mrow></math> boson mass in gauge-Higgs unification"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "The <math><mi>W</mi></math> boson mass <math><msub><mi>m</mi><mi>W</mi></msub></math> in the grand unified theory inspired <math><mi>S</mi><mi>O</mi><mo>(</mo><mn>5</mn><mo>)</mo><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>\u00d7</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></math> gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay <math><msup><mi>\u03bc</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>e</mi><mo>\u2212</mo></msup><msub><mover><mi>\u03bd</mi><mo>\u00af</mo></mover><mi>e</mi></msub><msub><mi>\u03bd</mi><mi>\u03bc</mi></msub></math> proceeds by the exchange of not only the zero mode of the <math><mi>W</mi></math> boson <math><mrow><mo>(</mo><msup><mrow><mi>W</mi></mrow><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></msup><mo>)</mo></mrow></math> but also Kaluza-Klein (KK) excited modes <math><msup><mi>W</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msup></math> and <math><msubsup><mi>W</mi><mi>R</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></msubsup></math> (<math><mi>n</mi><mo>\u2265</mo><mn>1</mn></math>) at the tree level. The anti\u2013de Sitter curvature of the RS space also affects the relationship among the gauge couplings and the ratio of <math><msub><mi>m</mi><mi>W</mi></msub></math> to the <math><mi>Z</mi></math> boson mass <math><msub><mi>m</mi><mi>Z</mi></msub></math>. The <math><mi>W</mi></math> couplings of leptons and quarks also change. With the given KK mass scale <math><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub></math> the range of the Aharonov-Bohm phase <math><msub><mi>\u03b8</mi><mi>H</mi></msub></math> in the fifth dimension is constrained. For <math><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub><mo>=</mo><mn>13</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math>, <math><mn>0.085</mn><mo>\u2272</mo><msub><mi>\u03b8</mi><mi>H</mi></msub><mo>\u2272</mo><mn>0.11</mn></math> and <math><mn>80.381</mn><mo>\u2272</mo><msub><mi>m</mi><mi>W</mi></msub><mo>\u2272</mo><mn>80.407</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. The predicted value of <math><msub><mi>m</mi><mi>W</mi></msub></math> for <math><mn>13</mn><mo>\u2264</mo><msub><mi>m</mi><mrow><mi>KK</mi></mrow></msub><mo>\u2264</mo><mn>20</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math> lies between <math><msubsup><mi>m</mi><mi>W</mi><mrow><mi>SM</mi></mrow></msubsup><mo>=</mo><mn>80.354</mn><mo>\u00b1</mo><mn>0.007</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> in the standard model and <math><msubsup><mi>m</mi><mi>W</mi><mrow><mi>CDF</mi></mrow></msubsup><mo>=</mo><mn>80.4335</mn><mo>\u00b1</mo><mn>0.0094</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>, the value reported by the CDF Collaboration in 2022."
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Published on:
27 December 2023
Publisher:
APS
Published in:
Physical Review D , Volume 108 (2023)
Issue 11
DOI:
https://doi.org/10.1103/PhysRevD.108.115036
arXiv:
2310.03276
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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