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Coulomb's Law and The Principle of Superposition01:15

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Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
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Experiments with electric charges have shown that if two objects each have an electric charge, they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them. The direction of the force vector is along the imaginary line joining the two objects and is dictated by the signs of the charges involved.
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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.
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Gauss's Law01:07

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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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The Quantum-Mechanical Model of an Atom02:45

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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 hydrogen spectra.
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The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.
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Updated: Sep 20, 2025

Setting Limits on Supersymmetry Using Simplified Models
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Quark and Gluon Form Factors in Four-Loop QCD.

Roman N Lee1, Andreas von Manteuffel2, Robert M Schabinger2

  • 1Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia.

Physical Review Letters
|June 10, 2022
PubMed
Summary

Researchers computed photon-quark and Higgs-gluon form factors to four-loop order. These results are essential for precise calculations of Drell-Yan and Higgs boson production at the Large Hadron Collider (LHC).

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Area of Science:

  • High-energy physics
  • Quantum chromodynamics
  • Particle physics

Background:

  • Precise theoretical predictions are crucial for interpreting experimental results at particle colliders.
  • Higher-order calculations in perturbative quantum chromodynamics (QCD) are necessary for achieving this precision.

Purpose of the Study:

  • To compute photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative QCD.
  • To provide essential components for calculating higher-order cross sections for key LHC processes.

Main Methods:

  • Perturbative quantum chromodynamics (QCD) calculations.
  • Four-loop order computations.
  • Analytic evaluation of form factors and master integrals.

Main Results:

  • Complete analytic expressions for photon-quark and Higgs-gluon form factors at four-loop order.
  • Identification and presentation of complex master integrals required for these calculations.

Conclusions:

  • The computed form factors serve as ready-to-use building blocks for next-to-next-to-next-to-leading order (N4LO) cross sections.
  • These results will enhance the precision of theoretical predictions for Drell-Yan and gluon-fusion Higgs production at the LHC.