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There is increasing need to assess the impact and the interpretation of dim = 6 and dim = 8 operators within the context of the Standard Model Effective Field Theory (SMEFT). The observational and mathematical consistency of a construct…

High Energy Physics - Phenomenology · Physics 2019-02-07 Giampiero Passarino

The low-energy effective field theory below the electroweak scale (LEFT) describes the effects at low energies of both the weak interaction and physics beyond the Standard Model. We study the one-loop renormalization of the LEFT in the 't…

High Energy Physics - Phenomenology · Physics 2024-02-19 Luca Naterop , Peter Stoffer

The Standard Model effective field theory (SMEFT) is the tool of choice for studying deviations of Higgs couplings from the Standard Model predictions. The SMEFT is an expansion in an infinite tower of higher dimension operators, which is…

High Energy Physics - Phenomenology · Physics 2023-05-12 Sally Dawson , Duarte Fontes , Samuel Homiller , Matthew Sullivan

We review the use of the exact renormalization group for realization of symmetry in renormalizable field theories. The review consists of three parts. In part I (sects. 2,3,4), we start with the perturbative construction of a renormalizable…

High Energy Physics - Theory · Physics 2015-05-14 Yuji Igarashi , Katsumi Itoh , Hidenori Sonoda

We demonstrate how to extract all the one-loop renormalization group equations for arbitrary quantum field theories from knowledge of an appropriate Seeley--DeWitt coefficient. By formally solving the renormalization group equations to one…

High Energy Physics - Theory · Physics 2009-10-31 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

The search for effective field theory deformations of the Standard Model (SM) is a major goal of particle physics that can benefit from a global approach in the framework of the Standard Model Effective Field Theory (SMEFT). For the first…

High Energy Physics - Phenomenology · Physics 2021-05-19 John Ellis , Maeve Madigan , Ken Mimasu , Veronica Sanz , Tevong You

We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power…

High Energy Physics - Phenomenology · Physics 2025-07-28 Luca Naterop , Peter Stoffer

We calculate the complete one-loop electroweak corrections to the inclusive $H\rightarrow ZZ$ and $H\rightarrow Z\gamma$ decays in the dimension-$6$ extension of the Standard Model Effective Field Theory (SMEFT). The corrections to…

High Energy Physics - Phenomenology · Physics 2024-06-04 Sally Dawson , Pier Paolo Giardino

In this paper, we investigate the application of the Renormalization Group Equation (RGE) in the determination of the effective potential and the study of Dynamical Symmetry Breaking (DSB) in a massless Abelian Higgs (AH) model with an…

High Energy Physics - Theory · Physics 2021-11-18 A. G. Quinto , R. Vega Monroy , A. F. Ferrari , A. C. Lehum

In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter $\theta$. The one-loop renormalizability…

High Energy Physics - Theory · Physics 2010-02-03 Maja Buric , Voja Radovanovic , Josip Trampetic

The one-loop renormalizability of the electroweak sector of the Standard Model Extension with Lorentz violation is studied. Functional determinants are used to calculate the one-loop contributions of the higgs, gauge bosons and fermions to…

High Energy Physics - Phenomenology · Physics 2009-08-03 Don Colladay , Patrick McDonald

We consider aspects of tree and one-loop behavior in a generic 4d EFT of massless scalars, fermions, and vectors, with a particular eye to the high-energy limit of the Standard Model EFT at operator dimensions 6 and 8. First, we classify…

High Energy Physics - Phenomenology · Physics 2023-01-10 Nathaniel Craig , Minyuan Jiang , Ying-Ying Li , Dave Sutherland

Recently, Poole & Thomsen have presented the Renormalization Group Equations (RGEs) in the $\overline{\mathrm{MS}}$ scheme for dimensionless parameters of a general renormalizable gauge theory in a new formalism based on the Local…

High Energy Physics - Phenomenology · Physics 2021-01-14 Lohan Sartore

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

In the absence of a tree-level scalar-field mass, renormalization-group (RG) methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series for the effective-potential functions utilized in…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

We present a reformulation of the functional renormalization group (fRG) for many-electron systems, which relies on the recently introduced single boson exchange (SBE) representation of the parquet equations [Phys. Rev. B 100, 155149…

Strongly Correlated Electrons · Physics 2023-06-06 Pietro M. Bonetti , Alessandro Toschi , Cornelia Hille , Sabine Andergassen , Demetrio Vilardi

$S$-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 compute the renormalization group equations (RGEs) of the Standard Model effective field theory (EFT) extended with a real scalar singlet, up to dimension-five and one-loop accuracy. We compare our renormalization results with those…

High Energy Physics - Phenomenology · Physics 2024-04-30 Supratim Das Bakshi , Jonathan Machado-Rodríguez , Maria Ramos

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Gioutsos

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu
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