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The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is...
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Reverse Bootstrapping: IR Lessons for UV Physics.

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We found that low-energy theories can constrain high-energy gravitational scattering. This reverses the usual perspective, using standard model physics to bound ultraviolet behavior.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • String Theory

Background:

  • S-matrix bootstrap and positivity bounds typically constrain low-energy theories based on UV completion requirements.
  • The standard model describes fundamental particles and forces, including gravity at low energies.

Purpose of the Study:

  • To investigate if low-energy theories can impose constraints on ultraviolet (UV) behavior in gravitational scattering.
  • To explore the relationship between low-energy constraints and high-energy amplitudes.

Main Methods:

  • Analyzing graviton-photon scattering within the framework of the standard model.
  • Applying S-matrix bootstrap principles and positivity bounds to scattering amplitudes.
  • Examining the implications of low-energy constraints on UV gravitational scattering.

Main Results:

  • Demonstrated that low-energy physics, specifically within the standard model, can indeed constrain UV gravitational scattering amplitudes.
  • Established a novel connection where low-energy theories provide bounds on high-energy gravitational interactions.
  • Showcased the power of using established low-energy models to probe high-energy phenomena.

Conclusions:

  • The conventional view of UV completion as solely constraining low-energy theories is incomplete.
  • Low-energy physics offers a powerful, often overlooked, tool for constraining the UV behavior of gravitational scattering.
  • This research opens new avenues for exploring quantum gravity and scattering amplitudes.