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The loop-tree duality (LTD) theorem establishes that loop contributions to scattering amplitudes can be computed through dual integrals, which are build from single cuts of the virtual diagrams. In order to build a complete LTD…

High Energy Physics - Phenomenology · Physics 2017-11-22 N. Selomit Ramírez-Uribe , Roger J. Hernández-Pinto , Germán Rodrigo

Scalar QED is used to study approximations in thermal field theory beyond the Hard Thermal Loop resummation scheme. For this purpose the photon self energy is calculated for external momenta of the order e^2T using Hard Thermal Loop…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stefan Leupold , Markus H. Thoma

An analytical approach is applied to the calculation of some dimensionally-regulated two-loop vertex diagrams with essential on-shell singularities. Such diagrams are important for the evaluation of QED corrections to the muon decay, QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Davydychev , V. A. Smirnov

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

We compute the one-loop (hard) matching correction to heavy-to-light transition currents in soft-collinear effective theory (SCET) to sub-leading power in the SCET expansion parameter for an arbitrary Dirac structure of the QCD weak…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , Y. Kiyo , D. s. Yang

We have calculated the complete one-loop corrections to the sfermion pair production process e+e- -> sf_i sf_j (f = t, b, tau, tau-neutrino) in the Minimal Supersymmetric Standard Model. Our results also include the previously calculated…

High Energy Physics - Phenomenology · Physics 2010-04-05 K. Kovarik , C. Weber , H. Eberl , W. Majerotto

We calculate the energy of electroweak sphalerons including one-loop fermionic corrections. This calculation has previously been done by adding the correction to the tree-level sphaleron and interpreting the resulting energy as the 1-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Schroers , I. Bornig , C. Schulzky , K. Goeke

In all mass cases needed for quark and gluon self-energies, the two-loop master diagram is expanded at large and small $q^2$, in $d$ dimensions, using identities derived from integration by parts. Expansions are given, in terms of…

High Energy Physics - Phenomenology · Physics 2011-08-17 D. J. Broadhurst , J. Fleischer , O. V. Tarasov

We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equations method, augmented by an $\epsilon$-factorized basis, which…

High Energy Physics - Theory · Physics 2024-11-08 Claude Duhr , Federico Gasparotto , Christoph Nega , Lorenzo Tancredi , Stefan Weinzierl

In the superfield formalism, two higher-derivative kinetic operators (Lee-Wick operators) are implemented into the standard three dimensional supersymmetric quantum electrodynamics for improving its ultraviolet behavior. It is shown in…

High Energy Physics - Theory · Physics 2013-08-23 E. A. Gallegos , R. Baptista

We present the complete one-loop corrections to the sfermion pair production process e+e- -> sf_i sf_j (f = t, b, tau, nu_tau, u, d, s, c) in the Minimal Supersymmetric Standard Model. Our results also include the previously calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Kovarik

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

High Energy Physics - Theory · Physics 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro

A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Avdeev , J. Fleischer , M. Yu. Kalmykov , M. N. Tentyukov

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with…

High Energy Physics - Theory · Physics 2015-06-16 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2014-11-18 Bernd Jantzen , Johann H. Kühn , Alexander A. Penin , Vladimir A. Smirnov

It is shown how the QED concept of a gauge-, scale- and scheme-independent one-loop effective charge can be extended directly at the diagrammatic level to QCD, thus justifying explicitly the ``naive non-abelianization'' prescription used in…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. J. Watson

The soft current describes the factorization behavior of quantum chromodynamics (QCD) scattering amplitudes in the limit of vanishing energy of one of the external partons. It is process-independent and can be expanded in a perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-17 Claude Duhr , Thomas Gehrmann

Hard thermal loops describe how soft gauge fields are screened and damped in hot plasmas. As such they are used to calculate transport coefficients, Sphaleron rates, equations of state, and particle production. However, most calculations…

High Energy Physics - Phenomenology · Physics 2023-07-12 Andreas Ekstedt

We reconsider the two-loop electron self-energy in quantum electrodynamics. We present a modern calculation, where all relevant two-loop integrals are expressed in terms of iterated integrals of modular forms. As boundary points of the…

High Energy Physics - Phenomenology · Physics 2024-08-22 Ina Hönemann , Kirsten Tempest , Stefan Weinzierl