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We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering…

High Energy Physics - Phenomenology · Physics 2022-05-11 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where $S$-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper…

High Energy Physics - Theory · Physics 2017-11-22 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

The Standard Model Effective Field Theory (SMEFT) provides a systematic framework to probe indirect effects of heavy new physics via precision measurements. While SMEFT constraints have been extensively studied using purely leptonic $Z$…

High Energy Physics - Phenomenology · Physics 2026-05-13 Zijian Wang , Tianyi Yang , Tianyu Mu , Andrew Levin , Qiang Li

Effective field theories (EFTs) provide a powerful framework to parametrise unknown aspects of possible ultraviolet (UV) physics. For scalar fields in de Sitter space, however, new emergent phenomena can arise when the cut-off scale of the…

High Energy Physics - Theory · Physics 2025-11-06 Sebastian Cespedes , Zhehan Qin , Dong-Gang Wang

Effective field theory is an effective approach to parameterizing effects of high energy scale physics in low energy measurements. The two popular frameworks for physics beyond the standard model are the so-called standard model effective…

High Energy Physics - Phenomenology · Physics 2025-08-01 Yi Liao , Xiao-Dong Ma , Yoshiki Uchida

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

Effective field theories (EFT) are commonly used to parameterize effects of BSM physics in vector boson scattering (VBS). For Wilson coefficients which are large enough to produce presently observable effects, the validity range of the EFT…

High Energy Physics - Phenomenology · Physics 2021-08-18 Jannis Lang , Stefan Liebler , Heiko Schäfer-Siebert , Dieter Zeppenfeld

We fully solve the long-standing problem of operator basis construction for fields with any masses and spins. Based on the on-shell method, we propose a novel method to systematically construct a complete set of lowest dimensional amplitude…

High Energy Physics - Phenomenology · Physics 2022-12-19 Zi-Yu Dong , Teng Ma , Jing Shu , Yu-Hui Zheng

There are two canonical approaches to treating the Standard Model as an Effective Field Theory (EFT): Standard Model EFT (SMEFT), expressed in the electroweak symmetric phase utilizing the Higgs doublet, and Higgs EFT (HEFT), expressed in…

High Energy Physics - Phenomenology · Physics 2021-08-11 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

Effective Field Theories (EFTs) provide a framework for capturing the effects of yet unseen heavy degrees of freedom in a model-independent manner. However, constructing a complete and minimal set of operators, especially at higher mass…

High Energy Physics - Phenomenology · Physics 2024-02-15 Magnus C. Schaaf

The Standard Model Effective Field Theory (SMEFT) is constrained by current LHC data. Supposedly extensions of the Standard Model (SM) involving heavy particles can be constrained by matching onto the SMEFT. However, the reliability of…

High Energy Physics - Phenomenology · Physics 2025-06-17 Manuel Drees , Cong Zhang

We compute the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT). We adopt the on-shell framework, where the RGEs are obtained from the…

High Energy Physics - Phenomenology · Physics 2025-12-29 Chao Wu , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

Effective Field Theory (EFT) is a general framework to parametrize the low-energy approximation to a UV model that is widely used in model-independent searches for new physics. The use of EFTs at the LHC can suffer from a 'validity' issue,…

High Energy Physics - Phenomenology · Physics 2026-02-03 Spencer Chang , Markus A. Luty , Teng Ma , Francesco Montagno , Andrea Wulzer

A global analysis of the Standard Model Effective Field Theory (SMEFT) with SFitter is performed using measurements of single top quark production and top quark decay processes from ATLAS and CMS at center-of-mass energies of 7, 8 and 13…

High Energy Physics - Phenomenology · Physics 2019-05-10 Rhea Moutafis

Even if some experimental evidence suggests the existence of physics beyond the SM, no clues of new resonances can be found in the data. In the case their masses are much larger than the energies of current experiments, the SMEFT formalism…

High Energy Physics - Phenomenology · Physics 2025-11-18 Matteo Maltoni

The Fermi effective theory of the weak interaction helped identify the structure of the electroweak sector of the Standard Model, and the chiral effective Lagrangian pointed towards QCD as the theory of the strong interactions. The Standard…

High Energy Physics - Phenomenology · Physics 2021-06-01 John Ellis

One of the assumptions of simplified models is that there are a few new particles and interactions accessible at the LHC and all other new particles are heavy and decoupled. The effective field theory (EFT) method provides a consistent…

High Energy Physics - Phenomenology · Physics 2021-05-05 Shekhar Adhikari , Ian M. Lewis , Matthew Sullivan

The Standard Model effective field theory (SMEFT) provides a general framework to include the dynamics of the beyond standard model physics residing at a certain higher energy scale $\Lambda$. We study the top-quark production along with a…

High Energy Physics - Phenomenology · Physics 2022-12-07 Monoranjan Guchait , Arnab Roy

We present a novel strategy to uncover indirect signs of new physics in collider data using the Standard Model Effective Field Theory (SMEFT) framework, offering notably improved sensitivity compared to traditional global analyses. Our…

High Energy Physics - Phenomenology · Physics 2025-11-25 Martin Hirsch , Luca Mantani , Veronica Sanz

We consider the construction of operator bases for massless, relativistic quantum field theories, and show this is equivalent to obtaining the harmonic modes of a physical manifold (the kinematic Grassmannian), upon which observables have…

High Energy Physics - Phenomenology · Physics 2019-08-07 Brian Henning , Tom Melia