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In this contribution we discuss next-to-next-to-leading order hadronic and four-loop QED contributions to the anomalous magnetic moment of the muon.

High Energy Physics - Phenomenology · Physics 2016-06-22 Alexander Kurz , Tao Liu , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

Extensive studies have been conducted in the past few decades to investigate potential signatures of higher-order QED effects in high-energy electromagnetic scattering processes. In our previous work, we have identified evidence of…

High Energy Physics - Phenomenology · Physics 2023-07-06 Xinbai. Li , Jiaxuan. Luo , Zebo. Tang , Xin. Wu , Wangmei. Zha

We calculate the one-loop non-factorizable QCD corrections to the production and decay of pairs of top quarks at various collider experiments. These non-factorizable corrections interconnect the different production and decay stages of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. Beenakker , F. A. Berends , A. P. Chapovsky

We extend the phenomenology of loop quantum cosmology (LQC) to second order in perturbations. Our motivation is twofold. On the one hand, since LQC predicts a cosmic bounce that takes place at the Planck scale, the second order…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Ivan Agullo , Boris Bolliet , V. Sreenath

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated…

High Energy Physics - Phenomenology · Physics 2020-08-26 J. Ablinger , J. Blümlein , P. Marquard , N. Rana , C. Schneider

The relation between the heavy-quark field in QCD and the corresponding field in HQET is derived up to three loops, and to all orders in the large-$\beta_0$ limit. The corresponding relation between the QED electron field and the…

High Energy Physics - Phenomenology · Physics 2010-10-05 A. G. Grozin

We present a numerical evaluation of the loop-after-loop contribution to the second-order self-energy for the ground state of hydrogenlike atoms with low nuclear charge numbers Z. The calculation is carried out in the Fried-Yennie gauge and…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. A. Yerokhin

We discuss new techniques developed in recent years for performing one-loop calculations in QCD, and present an example of results from the process 0 -> V q q-bar g g. Talk presented at the 1996 Zeuthen Workshop on Elementary Particle…

High Energy Physics - Phenomenology · Physics 2015-06-25 Z. Bern , L. Dixon , D. A. Kosower

We study QED corrections to operator matrix elements involving heavy composite particles (e.g., heavy-mesons, nuclei, and atoms). We define a new notion of reducible and irreducible graphs which is useful for systems with many discrete…

High Energy Physics - Phenomenology · Physics 2025-09-19 Ryan Plestid , Mark B. Wise

This is a short review of recent developments in calculation of higher order corrections to various two-point correlators and related quantities in (massless) QCD.

High Energy Physics - Phenomenology · Physics 2015-01-28 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We review the number counts to second order concentrating on the terms which dominate on sub horizon scales. We re-derive the result for these terms and compare it with the different versions found in the literature. We generalize our…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-13 Jeppe Trøst Nielsen , Ruth Durrer

We analyse two new versions of \theta-expanded non-commutative quantum electrodynamics up to first order in \theta and first loop order. In the first version we expand the bosonic sector using the Seiberg-Witten map, leaving the fermions…

High Energy Physics - Theory · Physics 2011-09-13 Jesper M. Grimstrup , Raimar Wulkenhaar

I discuss the status of the computation of the two-loop QCD corrections to top-quark pair production associated with a jet at hadron colliders. This amplitude is a missing ingredient for next-to-next-to-leading order (NNLO) QCD predictions.…

High Energy Physics - Phenomenology · Physics 2024-11-19 Colomba Brancaccio

We show that the introduction of a minimal length in the context of non-commutative spacetime gives rise (after some considerations) to higher-order theories. We then explicitly demonstrate how these higher-derivative theories appear as a…

High Energy Physics - Theory · Physics 2016-06-06 Marco Dias , Julio M. Hoff da Silva , Eslley Scatena

We calculate the induced Lorentz- and CPT-violating Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu\bar{\psi}\gamma^\mu\gamma_5\psi$ term. The result to all orders in $b$…

High Energy Physics - Theory · Physics 2008-11-26 J. -M. Chung

The proof of one-loop renormalizability of the general Lorentz- and CPT-violating extension of quantum electrodynamics is described. Application of the renormalization-group method is discussed and implications for theory and experiment are…

High Energy Physics - Theory · Physics 2017-08-23 Austin G. M. Pickering

We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan

We consider one-loop effects in general relativity which result in quantum long-range corrections to the Newton law, as well as to the gravitational spin-dependent and velocity-dependent interactions. Some contributions to these effects can…

General Relativity and Quantum Cosmology · Physics 2008-12-18 I. B. Khriplovich , G. G. Kirilin

We consider gauge models in the causal approach and study one-loop contributions to the chronological products and the anomalies they produce. We prove that in order greater than 4 there are no one-loop anomalies. Next we analyze one-loop…

High Energy Physics - Theory · Physics 2013-07-16 Dan-Radu Grigore

Lorentz violation emerged from a fundamental description of nature may impact, at low energies, the Maxwell sector, so that contributions from such new physics to the electromagnetic vertex would be induced. Particularly, nonbirefringent…

High Energy Physics - Phenomenology · Physics 2014-09-03 A. Moyotl , H. Novales-Sánchez , J. J. Toscano , E. S. Tututi
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