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We present a complete and independent off-shell Green's basis of the dimension 8 operators in the Standard Model effective field theory (SMEFT). We propose an off-shell amplitude formalism such that this new kind of amplitudes has a…

High Energy Physics - Phenomenology · Physics 2022-11-22 Zhe Ren , Jiang-Hao Yu

When integrating out unknown new physics sectors, what is the minimal character of the Standard Model Effective Field Theory (SMEFT) that can result? In this paper we focus on a particular aspect of this question: "How can one obtain only…

High Energy Physics - Phenomenology · Physics 2017-04-28 Yun Jiang , Michael Trott

The standard model effective field theory (SMEFT) provides systematic parameterization of all possible new physics above the electroweak scale. According to the amplitude-operator correspondence, an effective operator can be decomposed into…

High Energy Physics - Phenomenology · Physics 2022-12-21 Hao-Lin Li , Yu-Han Ni , Ming-Lei Xiao , Jiang-Hao Yu

We investigate the bounds which can be placed on generic new-physics contributions to dijet production at the LHC using the framework of the Standard Model Effective Field Theory, deriving the first consistently-treated EFT bounds from…

High Energy Physics - Phenomenology · Physics 2018-02-14 Stefan Alte , Matthias König , William Shepherd

We perform dimensional reduction of the electroweak sector of the dimension-six SMEFT to order $g^4$ in coupling constants $g$. This analysis includes one-loop contributions to kinetic terms and quartic couplings; as well as two-loop…

High Energy Physics - Phenomenology · Physics 2025-07-24 Mikael Chala , Maria Cristina Fiore , Luis Gil

We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from a few basic assumptions such as Poincar\'e invariance and locality, we classify all the renormalisable and non-renormalisable…

High Energy Physics - Theory · Physics 2022-05-04 Manuel Accettulli Huber , Stefano De Angelis

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

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

Evaluating a lattice path integral in terms of spectral data and matrix elements pertaining to a suitably defined quantum transfer matrix, we derive form-factor series expansions for the dynamical two-point functions of arbitrary local…

Statistical Mechanics · Physics 2023-11-03 Frank Göhmann , Karol K. Kozlowski , Mikhail D. Minin

We introduce a machine-learning density-functional-theory formalism for the spinless Hubbard model in one dimension at both zero and finite temperature. In the zero-temperature case this establishes a one-to-one relation between the site…

Strongly Correlated Electrons · Physics 2021-06-16 James Nelson , Rajarshi Tiwari , Stefano Sanvito

In particle physics, the modern view is to categorize things in terms of effective field theories (EFTs). Above the weak scale, we have the SMEFT, formed when the heavy new physics (NP) is integrated out, and for which the Standard Model…

High Energy Physics - Phenomenology · Physics 2023-04-05 Serge Hamoudou , Jacky Kumar , David London

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

We present a general method of constructing unfactorizable on-shell amplitudes (amplitude basis), and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory (EFT). We apply our…

High Energy Physics - Phenomenology · Physics 2022-12-21 Teng Ma , Jing Shu , Ming-Lei Xiao

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou

We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyze renormalization issues and the high-temperature asymptotics of…

High Energy Physics - Theory · Physics 2008-11-26 Alexei Strelchenko

At finite temperature, the decoupling of heavy Matsubara modes allows a four-dimensional quantum field theory to be matched onto a purely spatial, three-dimensional effective field theory (EFT). This dimensional reduction is a crucial…

High Energy Physics - Phenomenology · Physics 2026-04-27 Javier Fuentes-Martín , Javier López Miras , Adrián Moreno-Sánchez

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

The anomalous dimensions of dimension-six operators in the Standard Model Effective Field Theory (SMEFT) respect holomorphy to a large extent. The holomorphy conditions are reminiscent of supersymmetry, even though the SMEFT is not a…

High Energy Physics - Phenomenology · Physics 2015-07-31 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar

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

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