Related Experiment Video
Updated: Jun 23, 2025
10:27
Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling
Published on: October 21, 2018
12.4K
Determination of the Collins-Soper Kernel from Lattice QCD
Artur Avkhadiev1, Phiala E Shanahan1, Michael L Wagman2
1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|June 21, 2024
Summary
This study determines the quark Collins-Soper kernel using lattice quantum chromodynamics (QCD). Results precisely constrain parton distribution functions, favoring some phenomenological models over others.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics
- Parton Physics
Background:
- Transverse-momentum-dependent parton distributions (TMDs) are crucial for understanding hadron structure.
- The Collins-Soper kernel relates TMDs at different rapidity scales but requires precise theoretical determination.
- Lattice QCD provides a non-perturbative framework for calculating fundamental QCD quantities.
Purpose of the Study:
- To perform the first lattice QCD determination of the quark Collins-Soper kernel.
- To achieve systematic control over quark mass, operator mixing, and discretization effects.
- To compare lattice results with phenomenological parametrizations of the Collins-Soper kernel.
Main Methods:
- Utilizing lattice quantum chromodynamics (QCD) to calculate the Collins-Soper kernel.
- Employing next-to-next-to-leading logarithmic matching to connect lattice distributions with TMDs.
- Performing continuum extrapolation to remove lattice discretization effects.
Main Results:
- A precise determination of the quark Collins-Soper kernel from lattice QCD.
- Systematic control of theoretical uncertainties, including quark mass and discretization errors.
- Consistency with some phenomenological Collins-Soper kernel parametrizations.
Conclusions:
- The lattice QCD calculation provides a robust determination of the Collins-Soper kernel.
- The results offer crucial constraints for phenomenological studies of TMDs.
- The precision achieved allows for the disfavoring of certain existing parametrizations.
Related Concept Videos
01:14Extraction: Partition and Distribution Coefficients
2.4K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
For extracting a solute from an aqueous phase into an...
2.4K
01:12Bewley Lattice Diagram
613
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
613
01:12Fermi Level Dynamics
239
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
239
01:08Spin–Spin Coupling Constant: Overview
908
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
908
02:54Trends in Lattice Energy: Ion Size and Charge
23.8K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
23.8K
01:26Singularity Functions for Shear
129
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
129