The role of non-universal Couplings in Explaining the Anomaly

Ashutosh Kumar Alok (Indian Institute of Technology Jodhpur, Jodhpur, India) ; Amol Dighe (Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, India) ; Shireen Gangal (Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, India) ; Jacky Kumar (Physique des Particules, Universite de Montreal, C.P. 6128, succ. centre-ville, Montreal, Canada)

The tension among measurements of Vus from different channels, the so-called Cabibbo Angle Anomaly, can be interpreted as a signal of lepton flavor universality (LFU) violation in the W boson couplings. We investigate this issue in the framework of effective field theory, keeping the gauge structure of the Standard Model (SM) unchanged. We introduce gauge-invariant dimension-6 effective operators that couple the Higgs doublet to leptons, thereby giving non-universal tree-level contributions to the couplings of electroweak gauge bosons. Due to the SU(2)L gauge symmetry, a tension arises between the Vus measurements that are affected by new W couplings, and the electroweak precision measurements, which are also affected by the new Z couplings. We show that this tension can be alleviated by allowing additional sources of gauge-invariant couplings of Z boson to left- or right-handed leptons, and find the optimal regions indicated by the current data in the Wilson-coefficient space. We illustrate our model-independent results with the examples of minimal extensions of the SM involving the vector-like lepton (VLL) models. We point out that dimension-6 operators coupling the Higgs doublet to leptons can affect the rate of hττ decay significantly in general, however this effect is restricted to less than a per cent level for the minimal VLL models.

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      "value": "The tension among measurements of <math><msub><mrow><mi>V</mi></mrow><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> from different channels, the so-called Cabibbo Angle Anomaly, can be interpreted as a signal of lepton flavor universality (LFU) violation in the W boson couplings. We investigate this issue in the framework of effective field theory, keeping the gauge structure of the Standard Model (SM) unchanged. We introduce gauge-invariant dimension-6 effective operators that couple the Higgs doublet to leptons, thereby giving non-universal tree-level contributions to the couplings of electroweak gauge bosons. Due to the <math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>L</mi></mrow></msub></math> gauge symmetry, a tension arises between the <math><msub><mrow><mi>V</mi></mrow><mrow><mi>u</mi><mi>s</mi></mrow></msub></math> measurements that are affected by new W couplings, and the electroweak precision measurements, which are also affected by the new Z couplings. We show that this tension can be alleviated by allowing additional sources of gauge-invariant couplings of Z boson to left- or right-handed leptons, and find the optimal regions indicated by the current data in the Wilson-coefficient space. We illustrate our model-independent results with the examples of minimal extensions of the SM involving the vector-like lepton (VLL) models. We point out that dimension-6 operators coupling the Higgs doublet to leptons can affect the rate of <math><mi>h</mi><mo>\u2192</mo><mi>\u03c4</mi><mi>\u03c4</mi></math> decay significantly in general, however this effect is restricted to less than a per cent level for the minimal VLL models."
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Published on:
07 September 2021
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 971 C (2021)

Article ID: 115538
DOI:
https://doi.org/10.1016/j.nuclphysb.2021.115538
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: