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helps select models for anomalies.

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Summary
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The Third Family Hypercharge (TFH) Model, which explains B-anomalies, is challenged by new CDF II data. Generalizing TFH to U(1)s x U(1)t resolves this, with specific integer assignments fitting experimental results.

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Area of Science:

  • High Energy Physics
  • Particle Physics
  • Beyond Standard Model Physics

Background:

  • The Third Family Hypercharge (TFH) Model modifies Standard Model predictions for electroweak precision observables and explains B-anomalies.
  • A heavy U(1) gauge boson, arising from a spontaneously broken gauged U(1) symmetry, is a key feature of the TFH Model.
  • Recent CDF II measurements of the W boson mass deviate significantly from the Standard Model prediction, challenging the original TFH Model.

Purpose of the Study:

  • To generalize the TFH Model by exploring anomaly-free U(1)s x U(1)t gauge charge assignments.
  • To investigate the viability of these generalized models in light of the latest CDF II W boson mass measurement.
  • To determine if specific integer assignments for s and t can reconcile experimental data with theoretical predictions.

Main Methods:

  • Generalization of gauge charge assignments within the TFH framework to an anomaly-free U(1)s x U(1)t combination.
  • Inclusion of the 2022 CDF II measurement of the W boson mass into global fits.
  • Performing a two-parameter global fit to 277 electroweak and flavor-changing b-decay data points.

Main Results:

  • The generalized U(1)s x U(1)t models accommodate the CDF II W boson mass measurement, unlike the original TFH Model.
  • Specific integer values for s and t are selected, defining viable domains within the generalized framework.
  • A specific example (s=1, t=0) yields a p-value of 0.08 in a global fit, significantly improving upon the Standard Model's p-value.

Conclusions:

  • The generalized Third Family Hypercharge models, with anomaly-free U(1)s x U(1)t gauge charges, offer a viable extension to the Standard Model.
  • These models successfully incorporate recent experimental anomalies, particularly the CDF II measurement of the W boson mass.
  • The study demonstrates that specific integer assignments for gauge charges can lead to models that better fit a wide range of electroweak and flavor physics data.