Jove
Visualize
Contact Us

Related Concept Videos

Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit mass.
Cartesian Form for Vector Formulation01:26

Cartesian Form for Vector Formulation

The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is defined as the cross-product of these vectors, making it a vector quantity. The Cartesian form of the position and force vectors involves unit vectors, which can be used to express the cross-product in determinant form.
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
Gaussian Elimination: Problem Solving01:30

Gaussian Elimination: Problem Solving

Systems of linear equations in several variables are pivotal in modeling complex scenarios involving multiple unknowns and constraints. Such systems are widely used in various fields to represent relationships where several conditions must be simultaneously satisfied. Each variable in the system corresponds to an unknown quantity, while each equation imposes a linear constraint, leading to a structured approach for analyzing and solving real-world problems.A system of three equations with three...
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque exerted...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Precise standard-model predictions for polarised Z-boson pair production and decay at the LHC.

The European physical journal. C, Particles and fields·2025
Same author

Quantum information meets high-energy physics: input to the update of the European strategy for particle physics.

European physical journal plus·2025
Same author

Searching for New Long-Lived Particles in Heavy-Ion Collisions at the LHC.

Physical review letters·2020
Same author

On the maximal use of Monte Carlo samples: re-weighting events at NLO accuracy.

The European physical journal. C, Particles and fields·2017
Same author

<i>tWH</i> associated production at the LHC.

The European physical journal. C, Particles and fields·2017
Same author

Higher-order QCD predictions for dark matter production at the LHC in simplified models with <i>s</i>-channel mediators.

The European physical journal. C, Particles and fields·2015
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Video

Updated: May 7, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Unravelling tth via the matrix element method.

Pierre Artoisenet1, Priscila de Aquino, Fabio Maltoni

  • 1Nikhef Theory Group, Science Park 105, 1098 XG Amsterdam, Netherlands.

Physical Review Letters
|September 17, 2013
PubMed
Summary
This summary is machine-generated.

Investigating Higgs boson production with top-antitop pairs at the LHC is crucial. The matrix element method enhances sensitivity to this rare signal, even in complex environments.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: May 7, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • High Energy Physics
  • Particle Physics
  • Standard Model Physics

Background:

  • Associated production of the Higgs boson with a top-antitop pair (ttH) is a key channel for studying the Higgs boson's nature.
  • Experimental observation is challenging due to low event rates, complex multijet final states, and significant backgrounds.
  • The Standard Model predicts the largest ttH signal via Higgs decays to bottom quarks (h→bb), resulting in a W+W-bbbb signature overwhelmed by top-antitop plus jets (tt + jets) backgrounds.

Purpose of the Study:

  • To evaluate the effectiveness of the matrix element method for enhancing the sensitivity of ttH production observation.
  • To demonstrate the application of the matrix element method in discriminating the ttH signal from combinatorial and tt + jets backgrounds.
  • To assess the potential for future LHC runs to achieve significant sensitivity to this signature.

Main Methods:

  • Application of the matrix element method to exploit theoretical information of signal and background processes.
  • Analysis of the complex multijet final state characteristic of ttH production with h→bb.
  • Simulation and comparison of different decay channels, focusing on leptonic W boson decays.

Main Results:

  • The matrix element method can be efficiently applied to discriminate the ttH signal against combinatorial and tt + jets backgrounds, despite the final state complexity.
  • A moderate integrated luminosity in the next LHC run is sufficient to achieve significant sensitivity.
  • The signature involving both W bosons decaying leptonically can become as sensitive as the single-lepton signature.

Conclusions:

  • The matrix element method is a powerful tool for improving the sensitivity to rare processes like ttH production.
  • Future LHC runs with moderate luminosity will enable crucial measurements of ttH production.
  • Enhanced sensitivity in ttH studies will provide deeper insights into the properties of the Higgs boson.