Impact of Next-to-Leading-Order Weak Standard-Model-Effective-Field-Theory Corrections in e^{+}e^{-}→ZH

Area of Science:

• High Energy Physics
• Particle Physics
• Quantum Field Theory

Background:

• The Standard Model (SM) is the current framework for particle physics, but it may be incomplete.
• The Standard Model Effective Field Theory (SMEFT) extends the SM to probe for new physics at higher energy scales.
• Precision calculations are crucial for interpreting experimental data and searching for physics beyond the SM.

Purpose of the Study:

• To perform a complete next-to-leading order (NLO) calculation for the process e^{+}e^{-}→ZH within the SMEFT framework.
• To include all contributions from dimension-six operators in the SMEFT expansion.
• To investigate novel dependencies on parameters beyond the SM and assess their impact on the process.

Main Methods:

• Utilized a complete next-to-leading order (NLO) perturbative quantum field theory calculation.
• Incorporated all dimension-six operators within the Standard Model Effective Field Theory (SMEFT) framework.
• Analyzed the impact of CP-violating parameters, Higgs self-couplings, top quark Yukawa couplings, and four-fermion operators.

Main Results:

• Identified novel dependencies at NLO, including effects from CP-violating parameters in the gauge sector.
• Revealed impacts of modified Higgs boson self-couplings and top quark Yukawa couplings.
• Demonstrated that renormalization group scaling logarithms alone can yield misleading results.

Conclusions:

• A complete NLO calculation in SMEFT is essential for accurate predictions of e^{+}e^{-}→ZH production.
• Combining measurements from different energy scales provides powerful constraints on new physics parameters.
• The study underscores the necessity of precise theoretical calculations for advancing particle physics.