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We outline the renormalization of the standard model to all orders of perturbation theory in a way which does not make essential use of a specific subtraction scheme but is based on the Slavnov-Taylor identity. Physical fields and…

High Energy Physics - Theory · Physics 2015-06-26 Elisabeth Kraus , Klaus Sibold

Extending the renormalizability proposal of the physical sector of 4D Einstein gravity, we have recently proposed renormalizability of the 3D physical sector of gravity-matter systems. The main goal of the present work is to conduct…

High Energy Physics - Theory · Physics 2018-05-15 I. Y. Park

I present the two-loop self-energy functions for scalar bosons in a general renormalizable theory, within the approximation that vector bosons are treated as massless or equivalently that gauge symmetries are unbroken. This enables the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephen P. Martin

We clarify a discrepancy between two previous calculations of the two-loop QED Euler-Heisenberg Lagrangian, both performed in proper-time regularization, by calculating this quantity in dimensional regularization.

High Energy Physics - Theory · Physics 2008-11-26 Denny Fliegner , Martin Reuter , Michael G. Schmidt , Christian Schubert

We systematically extend the framework of galaxy bias renormalization to two-loop order. For the minimal complete basis of 29 deterministic bias operators up to fifth order in the density field and at leading order in gradient expansion we…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Thomas Bakx , Mathias Garny , Henrique Rubira , Zvonimir Vlah

The evaluation of three-loop contributions to the MSSM Higgs-boson mass is considered at the orders enhanced by the strong gauge coupling and top or bottom Yukawa couplings, i.e. at the orders…

High Energy Physics - Phenomenology · Physics 2018-09-26 Dominik Stöckinger , Josua Unger

The off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential $\sim\left(\Phi^\dagger\Phi-\frac{v^2}2\right)^N$ with $N$ arbitrary is presented. This is achieved by renormalizing the theory once…

High Energy Physics - Theory · Physics 2018-04-18 Daniele Binosi , Andrea Quadri

We present a renormalization group study of the scalar potential in a minimal $U(1)_{B-L}$ extension of the Standard Model involving one extra heavier Higgs and three heavy right-handed neutrinos with family universal B-L charge…

High Energy Physics - Phenomenology · Physics 2016-08-03 Claudio Coriano , Luigi Delle Rose , Carlo Marzo

The complete set of two-loop renormalization group equations in general gauge field theories is presented. This includes the \beta functions of parameters with and without a mass dimension.

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Huawen Wang , Yong Xiao

We consider the renormalization group improvement in the theory of the Standard Model (SM) Higgs boson playing the role of an inflaton with a strong non-minimal coupling to gravity. At the one-loop level with the running of constants taken…

High Energy Physics - Phenomenology · Physics 2012-11-30 A. O. Barvinsky , A. Yu. Kamenshchik , C. Kiefer , A. A. Starobinsky , C. F. Steinwachs

Starting from the one-loop divergences we obtained previously, we work out the renormalization of the Higgs-Electroweak Chiral Lagrangian explicitly and in detail. This includes the renormalization of the lowest-order Lagrangian, as well as…

High Energy Physics - Phenomenology · Physics 2021-10-13 G. Buchalla , O. Cata , A. Celis , M. Knecht , C. Krause

We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, extending 't~Hooft's one-loop result. The method can also be used for theories with…

High Energy Physics - Phenomenology · Physics 2023-11-01 Elizabeth E. Jenkins , Aneesh V. Manohar , Luca Naterop , Julie Pagès

We apply the method of differential renormalization to two and three dimensional abelian gauge theories. The method is especially well suited for these theories as the problems of defining the antisymmetric tensor are avoided and the…

High Energy Physics - Theory · Physics 2009-10-22 Ramon Munoz-Tapia

The electric charge renormalization constant, as defined in the Thomson limit, is expressed in terms of self-energies of the photon-Z-boson system in an arbitrary R_\xi-gauge to all perturbative orders. The derivation as carried out in the…

High Energy Physics - Phenomenology · Physics 2021-03-24 Stefan Dittmaier

We comprehensively evaluate renormalized Higgs boson couplings at one-loop level in non-minimal Higgs models such as the Higgs Singlet Model (HSM) and the four types of Two Higgs Doublet Models (THDMs) with a softly-broken $Z_2$ symmetry.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Shinya Kanemura , Mariko Kikuchi , Kodai Sakurai , Kei Yagyu

A new class of renormalizable gauges is introduced that is particularly well suited to compute effective potentials in spontaneously broken gauge theories. It allows one to keep free gauge parameters when computing the effective potential…

High Energy Physics - Phenomenology · Physics 2009-10-22 Boris Kastening

We describe how the entanglement renormalisation approach to topological lattice systems leads to a general procedure for treating the whole spectrum of these models, in which the Hamiltonian is gradually simplified along a parallel…

Strongly Correlated Electrons · Physics 2011-08-17 Miguel Aguado

$S$-matrix elements are invariant under field redefinitions of the Lagrangian. They are determined by geometric quantities such as the curvature of the field-space manifold of scalar and gauge fields. We present a formalism where scalar and…

High Energy Physics - Phenomenology · Physics 2023-02-22 Andreas Helset , Elizabeth E. Jenkins , Aneesh V. Manohar

We investigate the renormalization of the radiative decays of the Higgs to two gauge bosons in the Standard Model Effective Field Theory at mass dimension eight. Given that these are loop-level processes, their one-loop renormalization can…

High Energy Physics - Phenomenology · Physics 2024-06-03 Christophe Grojean , Guilherme Guedes , Jasper Roosmale Nepveu , Gabriel M. Salla

We analize the impact of two-loop renormalization group equations on the $SU(3)_c\times SU(2)_w\times U(1)_Y$ gauge couplings unification in various supersymmetric theories. In general the presence of superfields in higher representation…

High Energy Physics - Phenomenology · Physics 2017-09-25 Antonio Costantini