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Implications of general properties of quantum field theory, such as causality, unitarity, and locality include constraints on the couplings of the effective field theory (EFT) coefficients. These constraints follow from the connections…

High Energy Physics - Theory · Physics 2025-06-17 Guangzhuo Peng , Long-Qi Shao , Anna Tokareva , Yongjun Xu

In recent times, SMEFT, along with a superlative repertoire of theoretical and computational tools, has emerged as an efficacious platform to test the viability of proposed BSM scenarios. With symmetry as the backbone, higher mass…

High Energy Physics - Phenomenology · Physics 2022-09-07 Wrishik Naskar , Suraj Prakash , Shakeel Ur Rahaman

We present a comprehensive analysis of electroweak, flavor, and collider bounds on the complete set of dimension-six SMEFT operators in the $U(2)^5$-symmetric limit. This operator basis provides a consistent framework to describe a wide…

High Energy Physics - Phenomenology · Physics 2023-12-05 Lukas Allwicher , Claudia Cornella , Gino Isidori , Ben A. Stefanek

The effective field theory containing higher dimensional operators violates the unitarity of the $2 \rightarrow 2$ scattering processes in the Standard Model. This unitarity violation depends on the values of the Wilson coefficients…

High Energy Physics - Phenomenology · Physics 2025-02-05 Swagata Ghosh , Rashidul Islam

We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules…

High Energy Physics - Theory · Physics 2022-09-27 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi

Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson, and naturalness problem is addressed by composite top partners. Since the standard model effective field theory…

High Energy Physics - Phenomenology · Physics 2019-10-02 Hao-Lin Li , Ling-Xiao Xu , Jiang-Hao Yu , Shou-Hua Zhu

This note gives an overview of the tools for the precision matching of ultraviolet theories to the Standard Model effective field theory (SMEFT) at the tree level and one loop. Several semi- and fully automated codes are presented, as well…

We derive the scale of unitarity violation from the geometry of Effective Field Theory (EFT) extensions of the Standard Model Higgs sector. The high-energy behavior of amplitudes with more than four scalar legs depends on derivatives of…

High Energy Physics - Phenomenology · Physics 2021-12-22 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

We discuss the general method for obtaining full positivity bounds on multi-field effective field theories (EFTs). While the leading order forward positivity bounds are commonly derived from the elastic scattering of two (superposed)…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xu Li , Hao Xu , Chengjie Yang , Cen Zhang , Shuang-Yong Zhou

We present a general analysis for the discovery potential of CP-violation (CPV) searches in scattering processes at TeV-scale colliders in an effective field theory framework, using the SMEFT basis for higher dimensional operators. In…

High Energy Physics - Phenomenology · Physics 2024-07-30 Shaouly Bar-Shalom , Amarjit Soni , Jose Wudka

The electroweak symmetry-breaking sector is one of the most promising and uncharted parts of the Standard Model; but it seems likely that new electroweak physics may be out of reach of the present accelerator effort and the hope is to…

High Energy Physics - Phenomenology · Physics 2023-09-13 Raquel Gomez-Ambrosio , Felipe J. Llanes-Estrada , Alexandre Salas-Bernardez , Juan J. Sanz-Cillero

We study the dimension-six SMEFT four-lepton operators in the $\mu$--$\tau$ sector. These operators control both charged-lepton scattering and neutrino self-interactions, the latter being weakly constrained by direct laboratory probes…

High Energy Physics - Phenomenology · Physics 2026-05-01 Aadarsh Singh , G. D'Ambrosio , Sudhir K. Vempati

We perform a model-independent analysis of top-philic New Physics scenarios, under the assumption that only effective operators involving top quarks are generated at tree level. Within the SMEFT framework, we derive indirect constraints on…

High Energy Physics - Phenomenology · Physics 2024-02-20 Francesco Garosi , David Marzocca , Antonio Rodríguez Sánchez , Alfredo Stanzione

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the…

High Energy Physics - Theory · Physics 2024-09-17 Yue-Zhou Li

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the…

High Energy Physics - Theory · Physics 2015-06-19 Brando Bellazzini , Luca Martucci , Riccardo Torre

A set of constructs, definitions, and propositions that present a systematic view of the Standard Model Effective Field Theory (SMEFT), i.e. how the influence of higher energy processes is localizable in a few structural properties which…

High Energy Physics - Phenomenology · Physics 2016-07-06 Giampiero Passarino

I study constraints on fundamental physics emerging from consistency of a unitary, local and perturbative $S$-matrix in $4d$. For massless particles, some new constraints arising from consistent complex factorisation of $2\rightarrow 2$…

High Energy Physics - Theory · Physics 2026-05-07 Timothy Trott

In this paper, we explore positivity bounds for the effective field theory~(EFT) of a single weakly coupled massive vector field. The presence of both mass and spin makes the crossing properties of the amplitudes vastly complicated -- we…

High Energy Physics - Theory · Physics 2025-07-16 Francesco Bertucci , Johan Henriksson , Brian McPeak , Sara Ricossa , Francesco Riva , Alessandro Vichi

We calculate the one- and two-loop matching corrections in the Standard Model effective field theory (SMEFT) that impact electroweak precision measurements and flavour physics observables, focusing on the contributions of third-generation…

High Energy Physics - Phenomenology · Physics 2025-01-17 Ulrich Haisch , Luc Schnell

We study the process $pp \to Z(\ell^+ \ell^-)h(b\bar b)$ in the Standard Model Effective Field Theory (SMEFT) at high energies using subjet techniques to reconstruct the Higgs boson. We show that at high energies this process probes four…

High Energy Physics - Phenomenology · Physics 2018-11-16 Shankha Banerjee , Christoph Englert , Rick S. Gupta , Michael Spannowsky