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We present the first complete non-redundant operator basis for the Standard Model Effective Field Theory (SMEFT) at finite temperature, using the imaginary-time formalism. By employing the Hilbert series method on the space-time manifold…

High Energy Physics - Theory · Physics 2026-05-05 Joydeep Chakrabortty , Bruno Siqueira Eduardo , Siddhartha Karmakar , Philipp Schicho

We perform a loop-level analysis of charged-current (CC) processes involving light leptons and quarks within the Standard Model Effective Field Theory (SMEFT). This work is motivated by the high precision reached in experiment and Standard…

High Energy Physics - Phenomenology · Physics 2024-02-13 Maria Dawid , Vincenzo Cirigliano , Wouter Dekens

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods…

Mathematical Physics · Physics 2009-07-17 Juerg Froehlich , Marcel Griesemer , Israel Michael Sigal

In a companion paper, we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators…

High Energy Physics - Phenomenology · Physics 2019-08-26 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

A new operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real space Renormalization Group is introduced, in which cell-overlapping is the key concept.…

Statistical Mechanics · Physics 2009-11-07 Andreas Degenhard , Javier Rodriguez-Laguna

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions…

High Energy Physics - Theory · Physics 2008-11-26 V. S. Alves , M. Gomes , S. L. V. Pinheiro , A. J. da Silva

We calculate the $S$-matrix element for the Higgs boson decay to a $Z$-boson and a photon, $h\to Z\gamma$, at one-loop in the Standard-Model Effective Field Theory (SMEFT) framework and in linear $R_{\xi}$-gauges. Our SMEFT expansion…

High Energy Physics - Phenomenology · Physics 2019-06-28 A. Dedes , K. Suxho , L. Trifyllis

We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal…

High Energy Physics - Theory · Physics 2009-09-28 Chungku Kim

It is not only conceivable but likely that the spectrum of physics beyond the Standard Model (SM) is non-degenerate. The lightest non-SM particle may reside close enough to the electroweak scale that it can be kinematically probed at…

High Energy Physics - Phenomenology · Physics 2021-02-03 Upalaparna Banerjee , Joydeep Chakrabortty , Suraj Prakash , Shakeel Ur Rahaman , Michael Spannowsky

We study the renormalization group (RG) running of the neutrino masses and the leptonic mixing parameters in two different extra-dimensional models, namely, the Universal Extra Dimensions (UED) model and a model, where the Standard Model…

High Energy Physics - Phenomenology · Physics 2014-04-16 Mattias Blennow , Henrik Melbeus , Tommy Ohlsson , He Zhang

Debate topic for Effective Field Theory (EFT) is the choice of a "basis" for $\mrdim = 6$ operators Clearly all bases are equivalent as long as they are a "basis", containing a minimal set of operators after the use of equations of motion…

High Energy Physics - Phenomenology · Physics 2016-11-01 Giampiero Passarino

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 show how the use of standard perturbative RG in dimensional regularization allows for a renormalization group based computation of both the spectrum and a family of coefficients of the operator product expansion (OPE) for a given…

High Energy Physics - Theory · Physics 2018-01-18 Alessandro Codello , Mahmoud Safari , Gian Paolo Vacca , Omar Zanusso

We use the Fitmaker tool to incorporate the recent CDF measurement of $m_W$ in a global fit to electroweak, Higgs, and diboson data in the Standard Model Effective Field Theory (SMEFT) including dimension-6 operators at linear order. We…

High Energy Physics - Phenomenology · Physics 2022-09-21 Emanuele Bagnaschi , John Ellis , Maeve Madigan , Ken Mimasu , Veronica Sanz , Tevong You

We study the renormalization group equations of the fully anisotropic $\lambda$-deformed CFTs involving the direct product of two current algebras at different levels $k_{1,2}$ for general semi-simple groups. The exact, in the deformation…

High Energy Physics - Theory · Physics 2018-05-16 Eftychia Sagkrioti , Konstantinos Sfetsos , Konstantinos Siampos

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

The equations of motion for the Standard Model Effective Field Theory (SMEFT) differ from those in the Standard Model. Corrections due to local contact operators modify the equations of motion and impact matching results at sub-leading…

High Energy Physics - Phenomenology · Physics 2018-12-26 Abdurrahman Barzinji , Michael Trott , Anagha Vasudevan

We present a renormalization-group (RG) analysis of dark matter interactions with the standard model, where dark matter is allowed to be a component of an electroweak multiplet, and has a mass at or below the electroweak scale. We consider,…

High Energy Physics - Phenomenology · Physics 2020-07-09 Fady Bishara , Joachim Brod , Benjamin Grinstein , Jure Zupan

The Standard Model Effective Field Theory (SMEFT) based on the unbroken gauge group $\text{SU(3)}_C\otimes\text{SU(2)}_L\otimes\text{U(1)}_Y$ and containing only particles of the Standard Model (SM) has developed in the last decade to a…

High Energy Physics - Phenomenology · Physics 2025-11-13 Jason Aebischer , Andrzej J. Buras , Jacky Kumar

I discuss recent progress on fits to dimension-six operators in the Standard Model Effective Theory (SMEFT). I focus on the top quark sector of the SMEFT, as well as the theoretical advances made in computing SMEFT effects through to…

High Energy Physics - Phenomenology · Physics 2019-06-26 Emma Slade