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Setting Limits on Supersymmetry Using Simplified Models
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Soft Photon Theorem in QCD with Massless Quarks.

Yao Ma1, George Sterman2, Aniruddha Venkata2

  • 1Insitute for Theoretical Physics, ETH, 8093 Zurich, Switzerland.

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|March 15, 2024
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Summary
This summary is machine-generated.

This study investigates soft photon radiation in quantum chromodynamics (QCD), finding new corrections to the soft photon theorem. These corrections are infrared finite and real, impacting calculations in high-energy physics.

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Area of Science:

  • High-energy particle physics
  • Quantum Chromodynamics (QCD)

Background:

  • The soft photon theorem describes photon radiation in particle interactions.
  • Previous calculations did not fully account for virtual fermion loop corrections.

Purpose of the Study:

  • To investigate corrections to the soft photon theorem at leading power in photon energy.
  • To identify the lowest-order three-loop correction to soft photon radiation.

Main Methods:

  • Calculations performed to all orders in dimensionally regularized QCD.
  • Analysis of soft virtual loops of massless fermions.
  • Utilized recent three-loop soft gluon current calculations.

Main Results:

  • Identified additive, infrared-finite, and real corrections to the soft photon theorem.
  • These corrections arise from soft virtual loops of massless fermions.
  • Determined the lowest-order three-loop correction to the nonradiative amplitude.

Conclusions:

  • The conventional soft photon theorem requires corrections due to virtual fermion loops.
  • These corrections are crucial for accurate calculations in QCD involving soft photon emission.