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We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from…

High Energy Physics - Phenomenology · Physics 2024-03-19 Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen

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 discuss the limitations of the covariant derivative expansion prescription advocated to compute the one-loop Standard Model (SM) effective lagrangian when the heavy fields couple linearly to the SM. In particular, one-loop contributions…

High Energy Physics - Phenomenology · Physics 2016-05-25 Francisco del Aguila , Zoltan Kunszt , Jose Santiago

Starting from a theory of heavy particles and antiparticles, the path integral formulation of an effective field theory which describes the low momentum interactions is presented. The heavy degrees of freedom are identified and explicitly…

High Energy Physics - Phenomenology · Physics 2008-02-03 Clarence L. Lee

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

We study several problems related to the construction and the use of effective Lagrangians by considering an extension of the standard model that includes a heavy scalar singlet coupled to the leptonic doublet. Starting from the full…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mikhail Bilenky , Arcadi Santamaria

We integrate out the Higgs boson in the electroweak standard model at one loop, assuming that it is very heavy. We construct a low-energy effective Lagrangian, which parametrizes the one-loop effects of the heavy Higgs boson at O(M_H^0).…

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

Effective Lagrangians are a useful tool for a data-driven approach to physics beyond the Standard Model at the LHC. However, for the new physics scales accessible at the LHC, the effective operator expansion is only relatively slowly…

High Energy Physics - Phenomenology · Physics 2016-11-09 Ayres Freitas , David Lopez-Val , Tilman Plehn

Using effective field theory methods, we integrate out the standard model Higgs boson to one loop and represent its non-decoupling effects by a set of gauge invariant effective operators of the electroweak chiral Lagrangian. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. J. Herrero , E. Ruiz Morales

From general supergravity theory with unified gauge symmetry, we obtain the low-energy effective Lagrangian by taking the flat limit and integrating out the superheavy fields in model-independent manner. The scalar potential possesses some…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yoshiharu Kawamura

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 examine some features of the non-renormalizability induced through the use of low-energy effective Lagrangians in loop diagrams, in the context of a scalar model which is ultraviolet finite and partially soluble. In this framework, one…

High Energy Physics - Theory · Physics 2023-03-29 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the…

High Energy Physics - Phenomenology · Physics 2025-08-20 Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen

For large values of the Higgs mass the low energy structure of the gauged linear sigma model in the spontaneously broken phase can adequately be described by an effective field theory. We present a manifestly gauge-invariant functional…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Nyffeler , A. Schenk

We show how to obtain a ``heavy'' meson effective lagrangian for the case where the number of heavy particles is not conserved. We apply the method in a simple example at tree level and perform then the reduction for the case of vector…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. Bijnens , P. Gosdzinsky , P. Talavera

With the LHC entering the precision era, focus on interpreting the measurements performed in an effective field theory holds key to testing the Standard Model. An effective field theory provides a well-defined theoretical formalism which…

Data Analysis, Statistics and Probability · Physics 2024-03-27 Rahul Balasubramanian , Lydia Brenner , Carsten Burgard , Wouter Verkerke

As a first step towards the construction of a general electroweak effective Lagrangian incorporating heavy states, we present here a simplified version where only vector and axial-vector spin-1 triplets are involved. We adopt an effective…

High Energy Physics - Phenomenology · Physics 2019-01-29 Joaquín Santos , Ignasi Rosell , Antonio Pich , Juan José Sanz-Cillero

We use a functional approach based on the background-field formalism and the expansion by regions to integrate out the heavy Higgs field (associated with the mass eigenstate H) in a singlet extension of the Standard Model (SM) at the…

High Energy Physics - Phenomenology · Physics 2026-04-02 Stefan Dittmaier , Sebastian Schuhmacher , Maximilian Stahlhofen

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally formulated as an effective field theory of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Rafael A. Porto , Leonardo Senatore , Matias Zaldarriaga

We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, p_perp, and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian W. Bauer , Sean Fleming , Dan Pirjol , Iain W. Stewart
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