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This paper presents a matrix-free approach for implementing the shifted boundary method (SBM) in finite element analysis. The SBM is a versatile technique for solving partial differential equations on complex geometries by shifting boundary…

Numerical Analysis · Mathematics 2025-07-24 Michał Wichrowski

In theories with extended scalar sectors the lightest new scalar degree of freedom might be accessible at colliders. Going beyond simplified models, such a theory can be described in a gauge-invariant and agnostic way via an EFT with a…

High Energy Physics - Phenomenology · Physics 2025-12-15 Giorgio Arcadi , David Cabo-Almeida , Florian Goertz , Maya Hager

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

Effective field theories, like the Standard Model Effective Field Theory (SMEFT), are defined by a chosen field content and a set of symmetries, up to a cut off scale $\Lambda$. Usually, in order to perform calculations, gauge independent…

High Energy Physics - Phenomenology · Physics 2022-06-06 Michael Trott

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 discuss interference in the limit $\hat{m}_{W}^2/s \rightarrow 0$ in the Standard Model Effective Field Theory (SMEFT). Dimension six operators that contribute to $\bar{\psi} \psi \rightarrow \bar{\psi'}_1 \psi_2' \bar{\psi'}_3 \psi'_4$…

High Energy Physics - Phenomenology · Physics 2018-05-09 Andreas Helset , Michael Trott

This work is concerned with a switching point optimization problem governed by a semilinear parabolic equation in abstract function spaces. It is shown that the switching-point-to-control mapping is continuously Fr\'echet-differentiable…

Optimization and Control · Mathematics 2026-05-22 Christoph Buchheim , Christian Meyer , Alimhan Musalatov

Positivity bounds in effective field theories (EFTs) can be extracted through the moment problem approach, utilizing well-established results from the mathematical literature. We generalize this formalism using the matrix moment approach to…

High Energy Physics - Theory · Physics 2024-11-25 Shi-Lin Wan , Shuang-Yong Zhou

The Finite Element Method (FEM) is widely used to solve discrete Partial Differential Equations (PDEs) in engineering and graphics applications. The popularity of FEM led to the development of a large family of variants, most of which…

Numerical Analysis · Computer Science 2022-03-10 Teseo Schneider , Yixin Hu , Xifeng Gao , Jeremie Dumas , Denis Zorin , Daniele Panozzo

We compute the one-loop corrections to $Z$ decay properties from dimension-6 operators in the Standard Model Effective Field Theory (SMEFT) that contribute also to anomalous 3-gauge boson couplings and examine the relative sensitivity of…

High Energy Physics - Phenomenology · Physics 2018-11-14 Sally Dawson , Ahmed Ismail

The ACME collaboration has recently reported a new bound on the electric dipole moment (EDM) of the electron, $|d_e|< 1.1 \times 10^{-29}\, {\rm e\cdot cm}$ at 90$\%$ confidence level, reaching an unprecedented accuracy level. This can…

High Energy Physics - Phenomenology · Physics 2021-11-05 Giuliano Panico , Alex Pomarol , Marc Riembau

We calculate one loop $y_t$ and $\lambda$ dependent corrections to $\bar{\Gamma}_Z,\bar{R}_f^0$ and the partial $Z$ widths due to dimension six operators in the Standard Model Effective Field Theory (SMEFT), including finite terms. We…

High Energy Physics - Phenomenology · Physics 2017-07-12 Christine Hartmann , William Shepherd , Michael Trott

Multifractal analysis of stochastic processes deals with the fine scale properties of the sample paths and seeks for some global scaling property that would enable extracting the so-called spectrum of singularities. In this paper we…

Probability · Mathematics 2014-06-12 Danijel Grahovac , Nikolai N. Leonenko

The angular measure on the unit sphere characterizes the first-order dependence structure of the components of a random vector in extreme regions and is defined in terms of standardized margins. Its statistical recovery is an important step…

Statistics Theory · Mathematics 2022-10-18 Stéphan Clémençon , Hamid Jalalzai , Stéphane Lhaut , Anne Sabourin , Johan Segers

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

Effective Field Theories (EFTs) capture effects from heavy dynamics at low energy and represent an essential ingredient in the context of Standard Model (SM) precision tests. This document gathers a number of relevant scenarios for heavy…

High Energy Physics - Phenomenology · Physics 2020-09-04 D. Marzocca , F. Riva , J. Criado , S. Dawson , J. de Blas , B. Henning , D. Liu , C. Murphy , M. Perez-Victoria , J. Santiago , L. Vecchi , Lian-Tao Wang

We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continuous Galerkin discretizations of conservation laws in…

Numerical Analysis · Mathematics 2022-05-11 Dmitri Kuzmin , Jan-Phillip Bäcker

Global interpretations of particle physics data within the framework of the Standard Model Effective Field Theory (SMEFT), including their matching to UV-complete models, involve energy scales potentially spanning several orders of…

High Energy Physics - Phenomenology · Physics 2025-03-03 Jaco ter Hoeve , Luca Mantani , Alejo N. Rossia , Juan Rojo , Eleni Vryonidou

In this contribution we present how to obtain explicit state space models in port-Hamiltonian form when a mixed finite element method is applied to a linear mechanical system with non-uniform boundary conditions. The key is to express the…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Tobias Thoma , Paul Kotyczka

We explore the constraints which can be derived on Wilson coefficients in the Standard Model Effective Field Theory from dilepton production, notably including the constraints on operators which do not lead to cross sections growing with…

High Energy Physics - Phenomenology · Physics 2021-03-31 Alyssa Horne , Jordan Pittman , Marcus Snedeker , William Shepherd , Joel W. Walker