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Quantum effects significantly impact lepton flavor universality (LFU) in B decays. This study reveals new LFU-breaking effects in Z and tau decays, and lepton flavor violation, by incorporating previously neglected quantum corrections.

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Area of Science:

  • High Energy Physics
  • Particle Physics
  • Quantum Field Theory

Background:

  • Lepton flavor universality (LFU) is a key principle in the Standard Model of particle physics.
  • Previous studies on LFU in B decays have often neglected important quantum effects.
  • Understanding deviations from LFU could indicate new physics beyond the Standard Model.

Purpose of the Study:

  • To revisit Lepton Flavor Universality (LFU) in B decays by incorporating quantum effects.
  • To investigate the impact of quantum corrections on electroweak symmetry breaking and low-energy effective Lagrangians.
  • To explore potential LFU-breaking and lepton flavor-violating phenomena induced by these quantum effects.

Main Methods:

  • Construction of a low-energy effective Lagrangian starting from a high energy scale Λ.
  • Application of one-loop renormalization group equations (RGEs) for running effects from Λ down to the electroweak scale (v).
  • Inclusion of Quantum Electrodynamics (QED) RGEs from the electroweak scale down to 1 GeV.

Main Results:

  • Quantum effects significantly modify the leptonic couplings of the Z boson.
  • A purely leptonic effective Lagrangian is generated due to these quantum effects.
  • Large LFU-breaking effects are predicted in Z and tau decays.
  • Visible lepton flavor violating effects are induced in various tau decay processes.

Conclusions:

  • Quantum effects play a crucial role in B decays and lepton flavor universality.
  • The study predicts observable deviations from LFU and lepton flavor violation.
  • These findings provide new avenues for searching for new physics at the energy frontier.