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Author : Sven-Olaf Moch
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (261 download)
Download or read book Heavy-quark Pair Production at Two Loops in QCD written by Sven-Olaf Moch and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (727 download)
Download or read book Two-Loop Fermionic Corrections to Heavy-Quark Pair Production written by and published by . This book was released on 2008 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: We evaluate the fermionic two-loop QCD corrections to the heavy-quark pair production process in the quark-antiquark channel. We obtain analytic results which are valid for any value of the Mandelstam invariants s and t, and of the heavy quark mass m. Our findings confirm previous results for the analytic evaluation in the small-mass limit and numerical results for the exact amplitude. We furthermore provide the expansion of the two-loop amplitude at the production threshold s (almost equal to)> 4m2.
Author : Michal Czakon
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (184 download)
Download or read book Heavy Quark Production in Gluon Fusion at Two Loops in QCD written by Michal Czakon and published by . This book was released on 2007 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (967 download)
Download or read book On the Two-loop Virtual QCD Corrections to Higgs Boson Pair Production in the Standard Model written by and published by . This book was released on 2016 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, we compute the next-to-leading order virtual QCD corrections to Higgs-pair production via gluon fusion. We also present analytic results for the two-loop contributions to the spin-0 and spin-2 form factors in the amplitude. The reducible contributions, given by the double-triangle diagrams, are evaluated exactly while the two-loop irreducible diagrams are evaluated by an asymptotic expansion in heavy top-quark mass up to and including terms of O(1/m$8\atop{t}$). We estimate that mass effects can reduce the hadronic cross section by at most 10 %, assuming that the finite top-quark mass effects are of similar size in the entire range of partonic energies.
Author : Michal Czakon
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (255 download)
Download or read book Heavy Quark Production in Massless Quark Scattering at Two Loops in QCD written by Michal Czakon and published by . This book was released on 2007 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammad Assadsolimani
Publisher : disserta Verlag
ISBN 13 : 3954256746
Total Pages : 161 pages
Book Rating : 4.9/5 (542 download)
Download or read book Higher Order QCD Corrections to Single Top Quark Production written by Mohammad Assadsolimani and published by disserta Verlag. This book was released on 2014-08 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is known that the LHC has a considerable discovery potential because of its large centre-of-mass energy (vs =14 TeV) and the high design luminosity. In addition, the two experiments ATLAS and CMS perform precision measurements for numerous models in physics. The increasing experimental precision demands an even higher level of accuracy on the theoretical side. For a more precise prediction of outcomes, one has to consider the corrections obtained typically from Quantum Chromodynamics (QCD). The calculation of these corrections in the high energy regime is described by perturbation theory. In the present study, multi-loop calculations in QCD, including in particular two-loop corrections for single top quark production, are considered. There are several phenomenological motivations to study single top quark production: Firstly, the process is sensitive to the electroweak Wtb-vertex; moreover, non-standard couplings can hint at physics beyond the Standard Model. Secondly, the t-channel cross section measurement provides information on the b-quark Parton Distribution Functions (PDF). Finally, single top quark production enables us to directly measure the Cabibbo-Kobayashi-Maskawa(CKM) matrix element Vtb. The next-to-next-to-leading-order (NNLO) calculation of the single top quark production has many building blocks. In this study, two blocks will be presented: one-loop corrections squared and two-loop corrections interfered with Born. Initially, the one-loop squared contribution at NNLO for single top quark production will be calculated. Before we begin with the calculation of the two-loop corrections to single top quark production, we calculate the QCD form factors of heavy quarks at NNLO, along with the axial vector coupling as a first independent check. A comparison with the relevant literature suggests that this approach is in line with generally accepted procedure. This consistency check provides a proof of the validity of our setup. In the next step, the two-loop corrections to single top quark production will be calculated. After reducing all occurring tensor integrals to scalar integrals, we apply the integration by parts method (IBP) to find the master integrals. This step is a major challenge compared to all similar calculations because of the number of variables in the problem (two Mandelstam variables s and t, the dimension d and the mass of the top quark mt as well as the mass of the W boson mw). Finally, the calculation of the three kinds of topologies – vertex corrections, double boxes and non-planar double boxes – in the two-loop contribution at NNLO calculation will be presented.
Download or read book Third-order QCD Corrections to Heavy Quark Pair Production Near Threshold written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aneesh V. Manohar
Publisher : Cambridge University Press
ISBN 13 : 1009402145
Total Pages : 205 pages
Book Rating : 4.0/5 (94 download)
Download or read book Heavy Quark Physics written by Aneesh V. Manohar and published by Cambridge University Press. This book was released on 2023-07-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book O (alpha 4 S) Loop-by-loop Contributions to Heavy Quark Pair Production in Hadronic Collisions written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The present state of the theoretical predictions for the hadronic heavy hadron production is not quite satisfactory. The full next-to-leading order (NLO) ${cal O} (alpha_s^3)$ corrections to the hadroproduction of heavy quarks have raised the leading order (LO) ${cal O} (alpha_s^2)$ estimates but the NLO predictions are still slightly below the experimental numbers. Moreover, the theoretical NLO predictions suffer from the usual large uncertainty resulting from the freedom in the choice of renormalization and factorization scales of perturbative QCD. In this light there are hopes that a next-to-next-to-leading order (NNLO) ${cal O} (alpha_s^4)$ calculation will bring theoretical predictions even closer to the experimental data. Also, the dependence on the factorization and renormalization scales of the physical process is expected to be greatly reduced at NNLO. This would reduce the theoretical uncertainty and therefore make the comparison between theory and experiment much more significant. In this thesis I have concentrated on that part of NNLO corrections for hadronic heavy quark production where one-loop integrals contribute in the form of a loop-by-loop product. In the first part of the thesis I use dimensional regularization to calculate the ${cal O}(ep^2)$ expansion of scalar one-loop one-, two-, three- and four-point integrals. The Laurent series of the scalar integrals is needed as an input for the calculation of the one-loop matrix elements for the loop-by-loop contributions. Since each factor of the loop-by-loop product has negative powers of the dimensional regularization parameter $ep$ up to ${cal O}(ep^{-2})$, the Laurent series of the scalar integrals has to be calculated up to ${cal O}(ep^2)$. The negative powers of $ep$ are a consequence of ultraviolet and infrared/collinear (or mass) divergences. Among the scalar integrals the four-point integrals are the most complicated. The ${cal O}(ep^2)$ expansion of the three- and four-point integrals contain.
Author : Sascha Peitzsch
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)
Download or read book Leading-colour Two-loop QCD Corrections for Top-quark Pair Production in Association with a Jet at a Lepton Collider written by Sascha Peitzsch and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ambar Jain
Publisher :
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (535 download)
Download or read book Heavy Quarks in Effective Field Theories written by Ambar Jain and published by . This book was released on 2009 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heavy quark physics serves as a probe to understand QCD, measure standard model parameters, and look for signs of new physics. We study several aspects of heavy quark systems in an effective field theory framework, including both phenomenological and formal applications. Phenomenological applications include the leading calculation of penguin amplitudes in charmless non-leptonic B-decays to light mesons, including power suppressed effects that are numerically enhanced by the chiral condensate. We compare our determination of the penguin amplitudes with the experimental results. Also, we calculate the heavy quark jet function at two loops, which is an important ingredient for the next-to-next-to-leading-log invariant-mass distribution of jets induced by tt pair production at a future linear collider. Formal applications include: a definition of top mass relevant for measurements that use top induced jets, a new renormalization group equation in an infrared scale intrinsic to heavy quark masses and its generalization for QCD matrix elements, a threshold mass definition which smoothly connects to the MS mass, and a new method to analyze renormalons in the operator product expansion.
Author : Johannes Blümlein
Publisher : Springer
ISBN 13 : 3030044807
Total Pages : 509 pages
Book Rating : 4.0/5 (3 download)
Download or read book Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory written by Johannes Blümlein and published by Springer. This book was released on 2019-01-30 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.
Author : Yuri Dokshitzer
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321010
Total Pages : 286 pages
Book Rating : 4.3/5 (21 download)
Download or read book Basics of Perturbative QCD written by Yuri Dokshitzer and published by Atlantica Séguier Frontières. This book was released on 1991 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikko Laine
Publisher : Springer
ISBN 13 : 3319319337
Total Pages : 288 pages
Book Rating : 4.3/5 (193 download)
Download or read book Basics of Thermal Field Theory written by Mikko Laine and published by Springer. This book was released on 2016-06-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments. It focuses on gauge interactions (whether weak or strong), which are essential in both contexts. As well as the many differences in the physics questions posed and in the microscopic forces playing a central role, the authors also explain the similarities and the techniques, such as the resummations, that are needed for developing a formally consistent perturbative expansion. The formalism is developed step by step, starting from quantum mechanics; introducing scalar, fermionic and gauge fields; describing the issues of infrared divergences; resummations and effective field theories; and incorporating systems with finite chemical potentials. With this machinery in place, the important class of real-time (dynamic) observables is treated in some detail. This is followed by an overview of a number of applications, ranging from the study of phase transitions and particle production rate computations, to the concept of transport and damping coefficients that play a ubiquitous role in current developments. The book serves as a self-contained textbook on relativistic thermal field theory for undergraduate and graduate students of theoretical high-energy physics.
Author : Misha Shifman
Publisher : World Scientific
ISBN 13 : 9814488364
Total Pages : 420 pages
Book Rating : 4.8/5 (144 download)
Download or read book At The Frontier Of Particle Physics: Handbook Of Qcd (Volume 4) written by Misha Shifman and published by World Scientific. This book was released on 2002-08-30 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth and last volume of the invaluable publication At the Frontier of Particle Physics: Handbook of QCD. In this volume the reader will find three important sections. The first is devoted to QCD-based phenomenology. It covers issues deeply woven into the fabric of particle physics: weak interactions of light quarks (J Bijnens) and heavy quarkonium physics (A Hoang). The second section is a report on recent advances in the understanding of confinement in three dimensions in the Georgi-Glashow model (I Kogan and A Kovner). The third section deals with lattice QCD (A Kronfeld) and loop equations (A Dubin and Yu Makeenko).The five reviews in Volume 4, together with the 33 reviews in Volumes 1-3, constitute a full encyclopedia, covering all aspects of quantum chromodynamics as we know it today. The articles have been written by recognized experts in this field. Combining features of a handbook and a textbook, this is the most comprehensive source of information on the current status of QCD. It is intended for students as well as physicists — both theorists and experimentalists.
Author :
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (16 download)
Download or read book Heavy Quark Production in QCD. written by and published by . This book was released on 1988 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Kieseler
Publisher : Springer
ISBN 13 : 3319400053
Total Pages : 172 pages
Book Rating : 4.3/5 (194 download)
Download or read book Top-Quark Pair Production Cross Sections and Calibration of the Top-Quark Monte-Carlo Mass written by Jan Kieseler and published by Springer. This book was released on 2016-06-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the first experimental calibration of the top-quark Monte-Carlo mass. It also provides the top-quark mass-independent and most precise top-quark pair production cross-section measurement to date. The most precise measurements of the top-quark mass obtain the top-quark mass parameter (Monte-Carlo mass) used in simulations, which are partially based on heuristic models. Its interpretation in terms of mass parameters used in theoretical calculations, e.g. a running or a pole mass, has been a long-standing open problem with far-reaching implications beyond particle physics, even affecting conclusions on the stability of the vacuum state of our universe. In this thesis, this problem is solved experimentally in three steps using data obtained with the compact muon solenoid (CMS) detector. The most precise top-quark pair production cross-section measurements to date are performed. The Monte-Carlo mass is determined and a new method for extracting the top-quark mass from theoretical calculations is presented. Lastly, the top-quark production cross-sections are obtained – for the first time – without residual dependence on the top-quark mass, are interpreted using theoretical calculations to determine the top-quark running- and pole mass with unprecedented precision, and are fully consistently compared with the simultaneously obtained top-quark Monte-Carlo mass.
