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The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and…

High Energy Physics - Phenomenology · Physics 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

A model-independent anatomy of $\Delta F= 2$ transitions in the context of the Weak Effective Theory (WET) below the electroweak scale (EW) and the Standard Model Effective Field Theory (SMEFT) above the EW scale is discussed. Two master…

High Energy Physics - Phenomenology · Physics 2022-02-22 Jason Aebischer

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 dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless…

High Energy Physics - Phenomenology · Physics 2021-03-31 Jiayin Gu , Lian-Tao Wang

Nowadays, the Standard Model Effective Field Theory (SMEFT) provides a standard framework to parameterize potential deviations from the Standard Model and to combine information from multiple processes in global analyses. This review…

High Energy Physics - Phenomenology · Physics 2026-03-19 A. Aleshko , E . Boos , V. Bunichev , L. Dudko

We present a map between the tree-level Standard Model Effective Theory (SMEFT) in the Warsaw basis and massive on-shell amplitudes. As a first step, we focus on the electroweak sector without fermions. We describe the Feynman rules for a…

High Energy Physics - Phenomenology · Physics 2020-01-29 Rafael Aoude , Camila S. Machado

The program AutoEFT is described. It allows one to generate Effective Field Theories (EFTs) from a given set of fields and symmetries. Allowed fields include scalars, spinors, gauge bosons, and gravitons. The symmetries can be local or…

High Energy Physics - Phenomenology · Physics 2024-04-26 Robert V. Harlander , Magnus C. Schaaf

We obtain SMEFT bounds using an approach that utilises the complete multi-dimensional differential information of a process. This approach is based on the fact that at a given EFT order, the full angular distribution in the most important…

High Energy Physics - Phenomenology · Physics 2020-11-12 Shankha Banerjee , Rick S. Gupta , Joey Y. Reiness , Satyajit Seth , Michael Spannowsky

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 present the basis of dimension-eight operators associated with universal theories. We first derive a complete list of independent dimension-eight operators formed with the Standard Model bosonic fields characteristic of such universal…

High Energy Physics - Phenomenology · Physics 2025-08-28 Tyler Corbett , Jay Desai , O. J. P. Eboli , M. C. Gonzalez-Garcia

Until recently little was known about the high-dimensional operators of the standard model effective field theory (SMEFT). However, in the past few years the number of these operators has been counted up to mass dimension 15 using…

High Energy Physics - Phenomenology · Physics 2020-04-10 Renato M. Fonseca

We establish the bounds on Wilson coefficients of the Higgs effective field theory (HEFT) mandated by unitarity and analyticity. These positivity constraints can be projected into the space of the standard model effective field theory…

High Energy Physics - Phenomenology · Physics 2026-03-02 Grant N. Remmen , Nicholas L. Rodd

We assume that New Physics effects are parametrized within the Standard Model Effective Field Theory (SMEFT) written in a complete basis of gauge invariant operators up to dimension 6, commonly referred to as "Warsaw basis". We discuss all…

High Energy Physics - Phenomenology · Physics 2019-05-14 A. Dedes , W. Materkowska , M. Paraskevas , J. Rosiek , K. Suxho

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

Extensions of the Standard Model (SM) often contain new particles with masses far above the electroweak scale. Due to the presence of a mass hierarchy, effective field theory (EFT) is a suitable tool for the study of such extensions. In…

High Energy Physics - Phenomenology · Physics 2021-03-04 Benjamin Summ

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

The renormalization of composite operators is a fundamental aspect of quantum field theory, relevant for the description of phase transitions and high energy phenomenology. We calculate the anomalous dimensions of a large set of operators…

High Energy Physics - Theory · Physics 2026-01-06 Johan Henriksson , Stefanos R. Kousvos , Jasper Roosmale Nepveu

Projecting measurements of the interactions of the known Standard Model (SM) states into an effective field theory (EFT) framework is an important goal of the LHC physics program. The interpretation of measurements of the properties of the…

High Energy Physics - Phenomenology · Physics 2019-02-19 Ilaria Brivio , Michael Trott

We apply on-shell methods to the bottom-up construction of electroweak amplitudes, allowing for both renormalizable and non-renormalizable interactions. We use the little-group covariant massive-spinor formalism, and flesh out some of its…

High Energy Physics - Phenomenology · Physics 2020-04-15 Gauthier Durieux , Teppei Kitahara , Yael Shadmi , Yaniv Weiss

Dismissing traditional naturalness concerns while embracing the Higgs boson mass measurement and unification motivates careful analysis of trans-TeV supersymmetric theories. We take an effective field theory (EFT) approach, matching the…

High Energy Physics - Phenomenology · Physics 2018-07-04 James D. Wells , Zhengkang Zhang