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Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Heavy quark diffusion in perturbative QCD at next-to-leading order.

Simon Caron-Huot¹, Guy D Moore

¹Physics Department, McGill University, 3600 rue University, Montréal, QC H3A 2T8, Canada.

Physical Review Letters

|March 21, 2008

Summary

We calculated the momentum diffusion coefficient for heavy quarks in hot Quantum Chromodynamics (QCD) plasma to the next-to-leading order. The perturbative expansion shows poor convergence, indicating complex interactions within the plasma.

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Area of Science:

High Energy Physics
Quantum Chromodynamics (QCD)
Plasma Physics

Background:

Understanding the behavior of heavy quarks in hot QCD plasma is crucial for studying the properties of the quark-gluon plasma.
Previous calculations were limited to leading-order approximations, necessitating higher-order corrections for improved accuracy.

Purpose of the Study:

To compute the momentum diffusion coefficient of a heavy quark in a hot QCD plasma.
To extend calculations to next-to-leading order in the weak-coupling expansion.
To analyze the impact of soft, electric-scale gauge field physics on heavy quark diffusion.

Main Methods:

Employed weak-coupling expansion to calculate the momentum diffusion coefficient.
Incorporated interference between overlapping scatterings and soft gauge field physics.
Utilized the hard thermal loop effective theory to treat relevant physics scales.

Main Results:

Derived the next-to-leading order expression for the momentum diffusion constant in 3-color, 3-flavor QCD.
The derived formula is kappa = 16pi/3alpha(s)(2)T(3)(ln1/g(s)+0.07428+1.9026 g(s)).
Observed poor convergence of the perturbative expansion, suggesting limitations of the weak-coupling approach at this order.

Conclusions:

The next-to-leading order corrections significantly impact the momentum diffusion coefficient.
The poor convergence highlights the complexity of heavy quark interactions in hot QCD plasma.
Further theoretical and/or lattice studies may be needed to fully understand these phenomena.