Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics

Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics PDF Author: Lance Dixon
Publisher: World Scientific
ISBN: 9814678775
Category : Science
Languages : en
Pages : 636

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Book Description
This volume is a compilation of the lectures at TASI 2014. The coverage focuses on modern calculational techniques for scattering amplitudes, and on the phenomenology of QCD in hadronic collisions. Introductions to flavor physics, dark matter, and physics beyond the Standard Model are also provided. The lectures are accessible to graduate students at the initial stages of their research careers.

Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics

Journeys Through The Precision Frontier: Amplitudes For Colliders (Tasi 2014) - Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics PDF Author: Lance Dixon
Publisher: World Scientific
ISBN: 9814678775
Category : Science
Languages : en
Pages : 636

Get Book Here

Book Description
This volume is a compilation of the lectures at TASI 2014. The coverage focuses on modern calculational techniques for scattering amplitudes, and on the phenomenology of QCD in hadronic collisions. Introductions to flavor physics, dark matter, and physics beyond the Standard Model are also provided. The lectures are accessible to graduate students at the initial stages of their research careers.

Journeys Through the Precision Frontier: Amplitudes for Colliders

Journeys Through the Precision Frontier: Amplitudes for Colliders PDF Author: Lance Dixon
Publisher: World Scientific Publishing Company
ISBN: 9789814678759
Category : Science
Languages : en
Pages : 621

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Book Description
Introduction to QCD / T. Gehrmann -- A brief introduction to modern amplitude methods / L. Dixon -- Experimental methods at the LHC / A. Korytov -- QCD on the lattice: the central role of effective field theory / A.X. El-Khadra -- Introduction to parton-shower event generators / S. Höche -- TASI lectures on flavor physics / Z. Ligeti -- Amplitudes in n = 4 super-Yang-Mills theory / M. Spradlin -- Applied holography / C. Herzog -- Physics beyond the standard model at colliders / K. Matchev -- Mathematical aspects of scattering amplitudes / C. Duhr -- Gauge and gravity amplitude relations / J.J. Carrasco -- The hunt for dark matter / G. Gelmini -- TASI 2014 participants

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra PDF Author: Veronika Pillwein
Publisher: Springer Nature
ISBN: 3030445593
Category : Computers
Languages : en
Pages : 415

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Book Description
The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.

Anti-Differentiation and the Calculation of Feynman Amplitudes

Anti-Differentiation and the Calculation of Feynman Amplitudes PDF Author: Johannes Blümlein
Publisher: Springer Nature
ISBN: 3030802191
Category : Science
Languages : en
Pages : 551

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Book Description
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.

Searches for Dijet Resonances

Searches for Dijet Resonances PDF Author: Lydia Audrey Beresford
Publisher: Springer
ISBN: 331997520X
Category : Science
Languages : en
Pages : 175

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Book Description
This book addresses one of the most intriguing mysteries of our universe: the nature of dark matter. The results presented here mark a significant and substantial contribution to the search for new physics, in particular for new particles that couple to dark matter. The first analysis presented is a search for heavy new particles that decay into pairs of hadronic jets (dijets). This pioneering analysis explores unprecedented dijet invariant masses, reaching nearly 7 TeV, and sets constraints on several important new physics models. The two subsequent analyses focus on the difficult low dijet mass region, down to 200 GeV, and employ a novel technique to efficiently gather low-mass dijet events. The results of these analyses transcend the long-standing constraints on dark matter mediator particles set by several existing experiments.

Mellin-Barnes Integrals

Mellin-Barnes Integrals PDF Author: Ievgen Dubovyk
Publisher: Springer Nature
ISBN: 3031142721
Category : Science
Languages : en
Pages : 296

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Book Description
In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.

Feynman Integrals

Feynman Integrals PDF Author: Stefan Weinzierl
Publisher: Springer Nature
ISBN: 3030995585
Category : Science
Languages : en
Pages : 852

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Book Description
This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.

Inclusive b Jet Production in Proton-Proton Collisions

Inclusive b Jet Production in Proton-Proton Collisions PDF Author: Patrick L.S. Connor
Publisher: Springer Nature
ISBN: 3030343839
Category : Science
Languages : en
Pages : 325

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Book Description
^ 74 GeV and |y| 2.4; the b jets must contain a B hadron. The measurement has significant statistics up to p T ∼ O(TeV). Advanced methods of unfolding are performed to extract the signal. It is found that fixed-order calculations with underlying event describe the measurement well.

Effective Field Theories for Heavy Majorana Neutrinos in a Thermal Bath

Effective Field Theories for Heavy Majorana Neutrinos in a Thermal Bath PDF Author: Simone Biondini
Publisher: Springer
ISBN: 3319639013
Category : Science
Languages : en
Pages : 221

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Book Description
In this thesis we discuss the construction of an effective field theory (EFT) for non-relativistic Majorana fermions, show how to use it to calculate observables in a thermal medium, and derive the effects of these thermal particles on the CP asymmetry. The methods described in this thesis allow a systematic and effective description of the non-relativistic dynamics of a heavy Majorana fermion at finite temperature. The CP asymmetry is studied for hierarchical and nearly degenerate heavy-neutrino masses and the analysis includes the treatment of lepton-flavor effects. Heavy Majorana neutrinos are involved in many scenarios of physics beyond the standard model and, in the leptogenesis framework, they are at the root of the baryon asymmetry in the Universe. Besides simplifying exist in g results, the EFT approach provides useful tools for addressing even more involved observables. Indeed, taken together, the approach and the material presented here represent an important step toward a systematic improvement of our knowledge of the CP asymmetry in heavy-neutrino decays at finite temperature.

The Search for Supersymmetry in Hadronic Final States Using Boosted Object Reconstruction

The Search for Supersymmetry in Hadronic Final States Using Boosted Object Reconstruction PDF Author: Giordon Stark
Publisher: Springer Nature
ISBN: 3030345483
Category : Science
Languages : en
Pages : 263

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Book Description
This thesis represents one of the most comprehensive and in-depth studies of the use of Lorentz-boosted hadronic final state systems in the search for signals of Supersymmetry conducted to date at the Large Hadron Collider. A thorough assessment is performed of the observables that provide enhanced sensitivity to new physics signals otherwise hidden under an enormous background of top quark pairs produced by Standard Model processes. This is complemented by an ingenious analysis optimization procedure that allowed for extending the reach of this analysis by hundreds of GeV in mass of these hypothetical new particles. Lastly, the combination of both deep, thoughtful physics analysis with the development of high-speed electronics for identifying and selecting these same objects is not only unique, but also revolutionary. The Global Feature Extraction system that the author played a critical role in bringing to fruition represents the first dedicated hardware device for selecting these Lorentz-boosted hadronic systems in real-time using state-of-the-art processing chips and embedded systems.