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Simple Encoding of Higher-Derivative Gauge and Gravity Counterterms.

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This summary is machine-generated.

Higher-dimension operators in gauge and gravity theories are simplified using color-kinematic duality. This method absorbs complex expressions into simpler scalar theories, generating all-order amplitudes efficiently.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • Effective field theories with higher-dimension operators are used to describe new physics beyond the Standard Model.
  • Calculating amplitudes involving these operators in gauge and gravity theories is computationally intensive.

Purpose of the Study:

  • To find a method for simplifying calculations involving higher-dimension operators in gauge and gravity theories.
  • To leverage the duality between color and kinematics for computational efficiency.

Main Methods:

  • The study utilizes the color-kinematic duality, a relationship between the color factors and kinematic numerators of scattering amplitudes.
  • Higher-derivative gauge and gravity operators at the four-point level are reformulated as corrections to simpler scalar theories.

Main Results:

  • The complexity of higher-dimension operators in gauge and gravity theories is significantly reduced.
  • A small set of building blocks can generate gauge and gravity four-point amplitudes to all orders in mass dimension.
  • The color-kinematic duality provides a powerful tool for simplifying these intricate expressions.

Conclusions:

  • The color-kinematic duality offers a drastic simplification for encoding novel ultraviolet physics in effective theories.
  • This approach streamlines the generation of scattering amplitudes, making calculations more tractable.