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We integrate out the Higgs boson in the electroweak standard model at one loop and construct a low-energy effective Lagrangian assuming that the Higgs mass is much larger than the gauge-boson masses. Instead of applying diagrammatical…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefan Dittmaier , Carsten Grosse-Knetter

Building on an older method used to derive non-decoupling effects of a heavy Higgs boson in the Standard Model, we describe a general procedure to integrate out heavy fields in the path integral. The derivation of the corresponding…

High Energy Physics - Phenomenology · Physics 2021-10-20 Stefan Dittmaier , Sebastian Schuhmacher , Maximilian Stahlhofen

We continue to study an infinite-parametric family of gauge theories with an arbitrary function of the self-dual part of the field strength as the Lagrangian. The arising one-loop divergences are computed using the background field method.…

High Energy Physics - Theory · Physics 2015-06-23 Kirill Krasnov

We describe a method to remove non-decoupling heavy fields from a quantized field theory and to construct a low-energy one-loop effective Lagrangian by integrating out the heavy degrees of freedom in the path integral. We apply this method…

High Energy Physics - Phenomenology · Physics 2016-09-01 Stefan Dittmaier , Carsten Grosse-Knetter

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have…

High Energy Physics - Theory · Physics 2008-11-26 E Rodulfo , R Delbourgo

In the framework of osp(1,2)-symmetric quantization of irreducible massive gauge theories the background field method is studied for the simplest case of a linear splitting of the gauge field into a background configuration and the quantum…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Dietmar Mülsch

We combine a recent construction of a BRST-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well as BRST invariance of the quantum…

High Energy Physics - Theory · Physics 2023-01-04 Holger Gies , Dimitrios Gkiatas , Luca Zambelli

The QED effective Lagrangian in the presence of an arbitrary constant electromagnetic background field at finite temperature is derived in the imaginary-time formalism to one-loop order. The boundary conditions in imaginary time reduce the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

The Schur limit of the superconformal index of a four-dimensional N = 2 superconformal field theory encodes rich physical information about the protected spectrum of the theory. For a Lagrangian model, this limit of the index can be…

High Energy Physics - Theory · Physics 2025-07-18 Yiwen Pan , Wolfger Peelaers

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler Lagrangian from QED for a constant electric field…

Mathematical Physics · Physics 2024-10-29 Christian D. Tica , Eric A. Galapon

Infinite series of the type Sum{n=1,infinity}(alpha/2)_n_2F_1(-n, b; gamma; y)/(n n!) are investigated. Closed-form sums are obtained for alpha a positive integer alpha=1,2,3, ... The limiting case of b --> infinity, after y is replaced…

Mathematical Physics · Physics 2009-11-07 Nasser Saad , Richard L. Hall

A new method of deriving the Higgs Lagrangian from vector-like gauge theories is explored. After performing a supersymmetric extension of gauge theories we identify the auxiliary field associated with the "meson" superfield, in the low…

High Energy Physics - Theory · Physics 2007-05-23 Noriaki Kitazawa , Francesco Sannino

Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

A series of exact BPS solutions are found for single and double domain walls in N=2 supersymmetric (SUSY) QED for finite gauge coupling constants. Vector fields are found to be massive, although it is localized on the wall. Massless modes…

High Energy Physics - Theory · Physics 2009-11-10 Youichi Isozumi , Keisuke Ohashi , Norisuke Sakai

Conformal totally symmetric arbitrary spin bosonic fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative (ordinary-derivative) formulation for such fields is developed. We obtain gauge…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

We develop a novel method for building a gravitational analog model for a flowing Bose-Einstein condensate. The analogue metric is obtained using effective field theory methods, integrating out the heavy radial fluctuations. In this way, we…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Alessia Biondi

We show that the two-loop Euler-Heisenberg effective Lagrangian for scalar QED in a constant Euclidean self-dual background has a simple explicit closed form expression in terms of the digamma function. This result leads to a simple…

High Energy Physics - Theory · Physics 2009-11-07 Gerald V. Dunne , Christian Schubert

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon
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