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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

Inclusive Higgs measurements at the LHC have limited resolution on the gluon fusion loops, being unable to distinguish the long-distance contributions mediated by the top quark from possible short-distance new physics effects. Using an…

High Energy Physics - Phenomenology · Physics 2018-05-01 Aleksandr Azatov , Christophe Grojean , Ayan Paul , Ennio Salvioni

We propose a method to evaluate hadronic matrix elements of QCD gluon operators in the instanton vacuum. We construct the ground state of the interacting instanton ensemble for non-zero $\vartheta$--angle using a variational principle. A…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. I. Diakonov , M. V. Polyakov , C. Weiss

A constituent parton picture of hadrons with logarithmic confinement arises naturally in light-front QCD when the hamiltonian is computed using a perturbative renormalization group; however, rotational symmetry is not manifest as a simple…

High Energy Physics - Phenomenology · Physics 2009-10-30 Martina M. Brisudova , Sergio Szpigel , Robert J. Perry

Local operators in the bulk of AdS can be represented as smeared operators in the dual CFT. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work…

High Energy Physics - Theory · Physics 2011-06-08 Daniel Kabat , Gilad Lifschytz , David A. Lowe

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

Baryon number-violating processes arise generically in many extensions of the Standard Model, with Grand Unified Theories providing the most compelling realizations. Ongoing experimental searches at JUNO, Hyper-K, and DUNE motivate a more…

High Energy Physics - Phenomenology · Physics 2026-03-13 Chuan-Qiang Song , Jiang-Hao Yu

We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product,…

High Energy Physics - Phenomenology · Physics 2019-03-27 Yael Shadmi , Yaniv Weiss

Effective field theory (EFT) approaches are widely used at the LHC, such that it is important to study their validity, and ease of matching to specific new physics models. In this paper, we consider an extension of the SM in which a top…

High Energy Physics - Phenomenology · Physics 2020-03-04 Christoph Englert , Peter Galler , Chris D. White

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 formalize energy-scaling arguments in the Standard Model Effective Field Theory (SMEFT) to estimate effects of operators up to dimension ten. Introducing a classification based on the number of external legs and an energy-counting…

High Energy Physics - Phenomenology · Physics 2025-07-28 Benoît Assi , Adam Martin

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 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 apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross-sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

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

Effective Field Theories are an established framework to bridge the gap between UV and low energy theories. In the context of the Standard Model, the bottom-up approach extends its operator set and thus equips us to astutely probe its…

High Energy Physics - Phenomenology · Physics 2021-03-23 Supratim Das Bakshi , Joydeep Chakrabortty , Suraj Prakash , Shakeel Ur Rahaman , Michael Spannowsky

Assuming the existence of the dS/CFT correspondence, we construct local scalar fields with $m^2>\left( \frac{d}{2} \right)^2$ in de Sitter space by smearing over conformal field theory operators on the future/past boundary. To maintain bulk…

High Energy Physics - Theory · Physics 2014-07-24 Xiao Xiao

We study the role of composite operators in the Asymptotic Safety program for quantum gravity. By including in the effective average action an explicit dependence on new sources we are able to keep track of operators which do not belong to…

General Relativity and Quantum Cosmology · Physics 2017-03-21 Carlo Pagani , Martin Reuter

We perform Wigner analysis of linear operators. Namely, the standard time-frequency representation \emph{Short-time Fourier Transform} (STFT) is replaced by the $\mathcal{A}$-\emph{Wigner distribution} defined by $W_{\mathcal A}…

Analysis of PDEs · Mathematics 2021-08-10 Elena Cordero , Luigi Rodino

We extend the construction of field operators in AdS as smeared single trace operators in the boundary CFT to gauge fields and gravity. Bulk field operators in a fixed gauge can be thought of as non-local gauge invariant observables.…

High Energy Physics - Theory · Physics 2015-06-03 Idse Heemskerk