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Self-Contained Definition of the Collins-Soper Kernel
1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.
Physical Review Letters
|November 20, 2020
Summary
A new nonperturbative definition for the rapidity anomalous dimension (RAD), or Collins-Soper kernel, is derived. This allows theoretical study of RAD properties and QCD vacuum using collider data.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics (QCD)
Background:
- The rapidity anomalous dimension (RAD), also known as the Collins-Soper kernel, is crucial for understanding the scaling properties of transverse momentum dependent distributions in particle collisions.
- Extracting RAD from experimental data is essential for probing QCD dynamics.
Purpose of the Study:
- To derive a process-independent, nonperturbative definition of the rapidity anomalous dimension (RAD).
- To enable theoretical investigations into RAD properties and facilitate the study of the QCD vacuum using collider measurements.
Main Methods:
- Derivation of a self-contained nonperturbative definition for the RAD.
- Computation of power corrections to the RAD.
- Calculation of the large-b asymptotic behavior of the RAD.
Main Results:
- A novel, process-independent nonperturbative definition of RAD has been established.
- The power correction to RAD and its large-b asymptotic behavior were computed.
- The computed estimations were compared with recent phenomenological extractions.
Conclusions:
- The new definition of RAD opens avenues for theoretical exploration and experimental validation.
- This work provides a framework for connecting theoretical QCD calculations with precision collider measurements.
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