Related Experiment Video
Updated: Apr 25, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
8.2K
Factorization theorem for high-energy scattering near the end point.
1Department of Physics, Korea University, Seoul 136-713, Korea.
Physical Review Letters
|August 29, 2014
Summary
This study presents a new factorization theorem for effective field theories, resolving infrared divergences in high-energy scattering. The method isolates divergences in parton distribution functions, yielding an infrared-finite kernel.
Area of Science:
- High-energy physics
- Quantum field theory
- Effective field theories
Background:
- Conventional factorization methods in effective field theories encounter infrared divergences.
- These divergences arise from soft and collinear contributions, complicating calculations.
- A robust factorization theorem is needed for accurate predictions in high-energy scattering.
Purpose of the Study:
- To develop a consistent factorization theorem within effective field theories.
- To address and isolate infrared divergences in scattering processes.
- To obtain an infrared-finite kernel for improved theoretical predictions.
Main Methods:
- Reorganizing collinear and soft parts of the calculation.
- Extracting soft contributions from the collinear sector to prevent double counting.
- Combining extracted soft parts with the original soft contributions.
Main Results:
- A novel factorization theorem is established for effective field theories.
- Infrared divergences are successfully isolated within parton distribution functions.
- An infrared-finite kernel is derived, simplifying theoretical analysis.
Conclusions:
- The presented factorization theorem offers a consistent framework for high-energy scattering.
- This approach effectively manages infrared divergences, improving theoretical accuracy.
- The method is applicable to a wide range of high-energy scattering processes.
More Related Videos
08:44Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
9.4K
08:48High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
Published on: April 28, 2022
1.8K
Related Concept Videos
01:15Parseval's Theorem for Fourier transform
2.3K
Parseval's theorem is a fundamental principle in signal processing that enables the calculation of a signal's energy in either the time domain or the frequency domain. This theorem is pivotal in demonstrating energy conservation between these two domains, ensuring that the computed energy value remains consistent regardless of the domain of analysis.
To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a...
To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a...
2.3K
02:45The Quantum-Mechanical Model of an Atom
47.0K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
47.0K
01:10Energy Diagrams - II
11.1K
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
11.1K
02:32The de Broglie Wavelength
25.6K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.6K
04:08The Uncertainty Principle
25.5K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
25.5K
03:21The Energies of Atomic Orbitals
22.6K
In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
22.6K