Top Quark Mass Measurement at the Large Hadron Collider

The top quark is the heaviest elementary particle known to date. Its mass is a fundamental parameter of the Standard Model of particle physics, and its precise measurement is crucial for testing the Standard Model and searching for new physics beyond it.

The top quark is produced in high-energy collisions at particle accelerators such as the Large Hadron Collider (LHC) at CERN. It decays almost immediately after its production, making it challenging to measure its mass directly. Instead, physicists use indirect techniques to infer the top quark mass from the properties of its decay products.

Measurement Techniques

Several measurement techniques have been developed to determine the top quark mass at the LHC. The most precise techniques involve reconstructing the top quark’s decay products and measuring their momenta and energies. These techniques include:

• Invariant mass method: The invariant mass of the top quark decay products is calculated from their momenta and energies. The top quark mass is then determined from the peak in the invariant mass distribution.
• Kinematic fitting method: This technique uses the constraints of the top quark decay kinematics to fit the measured momenta and energies of the decay products to the expected values. The top quark mass is then extracted from the fitted parameters.
• Template method: Monte Carlo simulations are used to generate templates of the expected distributions of the top quark decay products. The measured distributions are then compared to the templates to extract the top quark mass.

Experimental Results

The LHC experiments, ATLAS and CMS, have performed extensive measurements of the top quark mass. The most recent combined results from the two experiments are:

Experiment	Top Quark Mass (GeV/c²)
ATLAS	172.99 ± 0.46
CMS	172.44 ± 0.50

These results are consistent with each other and provide the most precise measurements of the top quark mass to date.

Theoretical Predictions

The Standard Model predicts the top quark mass to be around 173 GeV/c². The measured values from the LHC experiments are in good agreement with this prediction, supporting the Standard Model.

Implications for Physics

The precise measurement of the top quark mass has important implications for physics. It provides a stringent test of the Standard Model and helps to constrain the parameters of the Standard Model and of possible extensions. The top quark mass is also a key input to calculations of the Higgs boson mass and other particle properties.

Future Prospects

The LHC is currently undergoing upgrades to increase its luminosity and energy. These upgrades will allow for more precise measurements of the top quark mass and other particle properties. Future experiments, such as the High-Luminosity LHC (HL-LHC), are planned to further improve the precision of top quark mass measurements and explore new physics beyond the Standard Model.

Frequently Asked Questions (FAQ)

Q: Why is the top quark mass important?
A: The top quark mass is a fundamental parameter of the Standard Model and is crucial for testing the Standard Model and searching for new physics beyond it.

Q: How is the top quark mass measured?
A: The top quark mass is inferred from the properties of its decay products using techniques such as the invariant mass method, kinematic fitting method, and template method.

Q: What is the current measured value of the top quark mass?
A: The most recent combined results from the ATLAS and CMS experiments give a top quark mass of 172.99 ± 0.46 GeV/c².

Q: Is the measured top quark mass consistent with the Standard Model predictions?
A: Yes, the measured values are in good agreement with the Standard Model prediction of around 173 GeV/c².

Q: What are the future prospects for top quark mass measurements?
A: Future upgrades to the LHC and new experiments will allow for more precise measurements of the top quark mass and further exploration of particle physics beyond the Standard Model.

References

• Top Quark Mass Measurement at the LHC

Top Quark Production Cross Section at the Large Hadron Collider

Top quarks are the heaviest known elementary particles, with a mass that is approximately the same as the mass of an atom of gold. They are produced at the Large Hadron Collider (LHC) in several different ways, including through the decay of other particles, such as the Higgs boson. The top quark production cross section is a measure of the probability that a top quark will be produced in a collision at the LHC. It is an important parameter for understanding the properties of the top quark and for searching for new physics beyond the Standard Model.

The top quark production cross section has been measured by the LHC experiments using a variety of different techniques. The most precise measurements have been made using data from the ATLAS and CMS experiments. The results of these measurements are in good agreement with the predictions of the Standard Model.

Implications

The measurement of the top quark production cross section has several important implications:

• It provides a precise test of the Standard Model.
• It can be used to constrain the parameters of the Standard Model, such as the mass of the Higgs boson.
• It can be used to search for new physics beyond the Standard Model.

The top quark production cross section is a fundamental parameter that is essential for understanding the properties of the top quark and for searching for new physics beyond the Standard Model. The precise measurements that have been made by the LHC experiments have helped to deepen our understanding of the top quark and its role in the Standard Model.

Top Quark Decay Branching Ratios at the Large Hadron Collider

The Large Hadron Collider (LHC) provides a vast amount of top quark pairs, allowing for precise measurements of their decay branching ratios. Top quarks predominantly decay either through the electroweak channel (W bosons) or the strong channel (s quarks), with a smaller fraction decaying into leptons and photons.

Recent LHC measurements have significantly improved the precision of top quark decay branching ratio determinations. The most recent results from ATLAS and CMS experiments have measured the branching fractions of the top quark decaying into W+b (58.6±0.2%), W+s (1.7±0.2%), and other channels.

These measurements are crucial for testing the Standard Model and probing new physics beyond it. They provide stringent constraints on theoretical models and help to understand the behavior of top quarks in high-energy collisions. Continued LHC data collection will further enhance the precision of these measurements and deepen our understanding of the fundamental properties of the top quark.

Quark Compositeness at the Large Hadron Collider

The Large Hadron Collider (LHC) offers an opportunity to probe the compositeness of quarks, which is a fundamental question in particle physics. Quark compositeness refers to the possibility that quarks, the elementary building blocks of protons and neutrons, are made up of even smaller subparticles. By studying high-energy collisions at the LHC, it is possible to search for evidence of quark substructure.

The most direct way to test quark compositeness at the LHC is to look for contact interactions between quarks. These interactions would arise from the exchange of new particles that are responsible for binding quarks together. Searches for contact interactions have been performed by looking for deviations from the Standard Model predictions for various processes, such as jet production and dijet production. So far, no significant deviations have been observed, setting limits on the compositeness scale of quarks.

Another approach to probing quark compositeness at the LHC is to study the production of heavy quarkonia. Quarkonia are bound states of a heavy quark and its antiquark. The production of heavy quarkonia is sensitive to the presence of new particles that could affect the binding of quarks. Deviations from the Standard Model predictions for quarkonia production could provide hints of quark compositeness.

The LHC has also been used to search for compositeness in the top quark sector. The top quark is the heaviest known elementary particle and is expected to be more susceptible to compositeness than lighter quarks. Searches for top quark compositeness have been performed by looking for deviations from the Standard Model predictions for top quark production and decay. To date, no significant deviations have been observed, constraining the compositeness scale of top quarks.

The continued exploration of quark compositeness at the LHC will provide valuable insights into the fundamental nature of matter. If evidence of quark compositeness is discovered, it would have profound implications for our understanding of the Standard Model and beyond.

Quark Confinement at the Large Hadron Collider

At the Large Hadron Collider (LHC), scientists study the behavior of quarks, the fundamental particles that make up protons and neutrons. Quarks are normally confined within these particles, but at the LHC, high-energy collisions can momentarily release them, allowing for the observation of a phenomenon known as quark confinement.

Quark confinement refers to the inability of quarks to exist independently. When separated by a strong force, they instead form new particles called hadrons, composed of multiple quarks. This behavior is believed to be due to the strong interaction between quarks, which becomes stronger as they are pulled apart.

The LHC provides a unique opportunity to study quark confinement by recreating the conditions of the early universe, where quarks and gluons were separated at much higher energies. By colliding lead ions, which contain a large number of quarks, scientists can observe the formation and subsequent recombination of quarks within the collision debris. These experiments help to refine our understanding of the fundamental properties of matter and the nature of quark confinement.

Quark-Gluon Plasma at the Large Hadron Collider

The Large Hadron Collider (LHC) at CERN has allowed physicists to explore the behavior of matter under extreme conditions, including the creation of a quark-gluon plasma (QGP). QGP is a primordial soup of quarks and gluons, the fundamental building blocks of matter, that existed during the first microseconds after the Big Bang.

At the LHC, QGP is created in high-energy collisions of lead nuclei. The resulting plasma is a hot and dense medium with properties that resemble those of a liquid rather than a gas. By studying QGP, scientists can gain insights into the early universe and the fundamental forces that govern the interactions of quarks and gluons.

The LHC experiments have observed various phenomena associated with QGP, such as:

• Strong suppression of heavy quarks, suggesting a high drag force on particles within the plasma
• Elliptic flow, indicating collective motion of the plasma
• Jet quenching, where the energy of high-energy jets is lost as they traverse the plasma

Charm Quark Mass Measurement at the Large Hadron Collider

The Large Hadron Collider (LHC) has enabled precise measurements of the charm quark mass. Using experimental techniques, physicists have determined the charm quark’s running mass m_c(m_c) with unprecedented accuracy. This measurement involves analyzing the invariant mass distribution of hadrons containing charm quarks and employing lattice QCD calculations to connect the measured values to the quark mass. The precise determination of m_c(m_c) is crucial for understanding the strong nuclear force and improving theoretical predictions in particle physics.

Charm Quark Production Cross Section at the Large Hadron Collider

Abstract: The charm quark production cross section in proton-proton collisions at a center-of-mass energy of 13 TeV is measured using the ATLAS detector at the Large Hadron Collider. The measurement is performed in the forward region of the detector, where charm quarks are produced with large rapidity. The cross section is measured differentially as a function of the charm quark momentum and rapidity. The results are compared to theoretical predictions and to previous measurements. The comparison shows that the theoretical predictions generally agree with the data within the uncertainties, although some discrepancies are observed at high charm quark momentum and rapidity. The measurement provides important input for the understanding of charm quark production in high-energy proton-proton collisions.

Charm Quark Decay Branching Ratios at the Large Hadron Collider

Charm quarks are fundamental particles that play a crucial role in the Standard Model of particle physics. Understanding their decay properties is essential for tests of the model and searches for new physics. At the Large Hadron Collider (LHC), charm quarks are produced in abundance, providing an opportunity to precisely measure their decay branching ratios. This article explores the current status of charm quark decay branching ratio measurements at the LHC, highlighting techniques and experimental results. It also discusses theoretical predictions and the implications of these measurements for particle physics phenomenology. By precisely determining charm quark decay branching ratios, physicists can probe the Standard Model and search for deviations that could indicate new physics beyond the current theoretical framework.

Bottom Quark Mass Measurement at the Large Hadron Collider

The mass of the bottom quark, a fundamental particle, is precisely measured at the Large Hadron Collider (LHC). This measurement is crucial for understanding the Standard Model of particle physics, which describes the fundamental particles and forces of nature.

By analyzing collisions of protons at the LHC, researchers determine the bottom quark’s mass with unprecedented accuracy. The measurement is based on the decay of B mesons, subatomic particles containing bottom quarks. By reconstructing these decays and measuring the momenta of the particles produced, the bottom quark’s mass is extracted.

The precise measurement of the bottom quark mass provides valuable insights into the properties of quarks and the forces that govern them. It helps constrain theoretical models and contributes to the understanding of the fundamental building blocks of matter.

Bottom Quark Production Cross Section at the Large Hadron Collider

The production cross section of bottom quarks at the Large Hadron Collider (LHC) is an important input for many Standard Model and beyond Standard Model physics measurements. This article presents measurements of the bottom quark production cross section in proton-proton collisions at a center-of-mass energy of 13 TeV, using data collected by the ATLAS experiment at the LHC. The cross section is measured in the muon+jets final state, where one of the jets is identified as a b-jet. The results are consistent with theoretical predictions within the uncertainties, providing valuable input for precision measurements at the LHC.

Bottom Quark Decay Branching Ratios at the Large Hadron Collider

The Large Hadron Collider (LHC) provides a unique opportunity to study the decays of bottom quarks due to its high energy and luminosity. The branching ratios of various bottom quark decay modes have been measured with high precision in the LHC experiments, allowing for detailed tests of the Standard Model and searches for physics beyond it. This summary presents an overview of the measurements of bottom quark decay branching ratios at the LHC, discussing their importance and the current status of the measurements.

Quantum Chromodynamics at the Large Hadron Collider

Quantum chromodynamics (QCD) is the theory of the strong nuclear force, which binds quarks together to form protons and neutrons. The Large Hadron Collider (LHC) is the world’s largest particle accelerator, which can produce high energies to study QCD interactions.

At the LHC, high-energy collisions between protons produce jets of particles, which are sprays of hadrons. Hadrons are formed when quarks and gluons (the carriers of the strong force) combine. Studying jets at the LHC allows physicists to investigate the behavior of QCD at high energies and to determine fundamental properties of quarks and gluons.

The LHC has provided significant insights into QCD, including the measurement of jet properties that test the predictions of QCD and contribute to a deeper understanding of the strong nuclear force. The LHC has also enabled the discovery of the Higgs boson, which is relevant to the electroweak theory of interactions between elementary particles. Ongoing research at the LHC continues to advance our knowledge of QCD and its implications for the fundamental structure of matter and the universe.

QCD Tests at the Large Hadron Collider

The Large Hadron Collider (LHC) provides an exceptional environment for studying quantum chromodynamics (QCD), the theory of the strong nuclear force. The LHC’s high-energy collisions allow for the production of a wide range of hadrons, including jets, heavy quarks, and electroweak bosons, enabling precise tests of QCD predictions.

QCD tests at the LHC have confirmed the theory’s main principles, such as asymptotic freedom and quark confinement. Measurements of jet production and fragmentation, as well as the production of heavy quarks, have provided valuable insights into the strong interactions and the properties of hadrons. Electroweak boson production has also been studied at the LHC, helping to uncover the interplay between QCD and electroweak forces.

Ongoing and future analyses at the LHC will continue to push the boundaries of QCD testing. The precise measurements provided by the LHC play a crucial role in advancing our understanding of the fundamental forces governing our universe.

QCD Predictions for Top Quark Production at the Large Hadron Collider

Quantum Chromodynamics (QCD) provides a framework to calculate top quark production at the Large Hadron Collider (LHC). These calculations are essential for understanding the underlying physics of top quark production and testing the Standard Model.

QCD predicts various production processes for top quarks, including single top production, di-top production, and associated production with other particles. The total cross section for top quark production at the LHC is large, allowing for precise measurements.

Theoretical predictions in QCD for top quark production rely on perturbative expansion, which is only valid at high energies and for small coupling constants. Calculations at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) provide improved accuracy over leading order (LO) predictions.

QCD Predictions for Bottom Quark Production at the Large Hadron Collider

Within the Standard Model of particle physics, bottom quark production at hadron colliders is dominated by quantum chromodynamics (QCD) processes. Precise theoretical calculations are necessary to accurately predict and interpret experimental measurements. The large hadron collider (LHC) provides a unique environment to study bottom quark production due to its high energy and luminosity.

QCD predictions for bottom quark production at the LHC are based on perturbative expansions. The leading-order (LO) calculations consider only the dominant tree-level diagrams while next-to-leading-order (NLO) calculations include one-loop corrections. Resummation techniques and parton showering algorithms are employed to improve the accuracy of predictions.

Fixed-order predictions can be combined with parton distribution functions (PDFs) to obtain differential and total cross-sections for bottom quark production. These predictions are essential for precision studies of electroweak phenomena, top quark physics, and new physics searches at the LHC. Ongoing theoretical developments and experimental measurements continue to refine our understanding of bottom quark production and its role in LHC physics.

Physics of the Large Hadron Collider

The Large Hadron Collider (LHC) is the world’s largest and most powerful particle accelerator, located at the European Organization for Nuclear Research (CERN) in Switzerland. It is designed to collide protons at extremely high energies to explore the fundamental building blocks of matter and the laws that govern them.

The LHC has three main research goals:

• Search for the Higgs boson: The Higgs boson is a theoretical particle that is believed to give mass to other particles. The LHC has successfully detected the Higgs boson, confirming its existence and providing valuable insights into the Standard Model of particle physics.
• Study quark-gluon plasma: Quark-gluon plasma is a state of matter that existed in the early universe just microseconds after the Big Bang. By colliding heavy ions in the LHC, scientists can recreate conditions similar to the early universe and study the properties of quark-gluon plasma.
• Search for new physics: The LHC is designed to probe beyond the Standard Model, searching for new particles and interactions that could point to new laws of physics. Potential discoveries include supersymmetry, dark matter, and extra dimensions.

Top Quark Physics at the Large Hadron Collider

The top quark, discovered at the Fermilab Tevatron collider in 1995, is the heaviest known elementary particle. It is a key player in the Standard Model of physics, and its properties provide crucial insights into the fundamental nature of matter.

At the Large Hadron Collider (LHC) at CERN, physicists have been studying top quark physics extensively. The LHC is the world’s most powerful particle accelerator, providing unprecedented energy and luminosity for particle collisions. This has allowed researchers to probe the properties of the top quark with unprecedented precision.

Measurements of the top quark’s mass, spin, and other properties have confirmed the predictions of the Standard Model. However, physicists are also searching for deviations from the Standard Model that could indicate new physics. By studying the top quark, they hope to gain insights into the nature of dark matter, supersymmetry, and other unsolved mysteries of physics.