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We show that the coefficients of operators in the electroweak chiral Lagrangian can be bounded if the underlying theory obeys the usual assumptions of Lorentz invariance, analyticity, unitarity and crossing to arbitrarily short distances.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jacques Distler , Benjamin Grinstein , Rafael A. Porto , Ira Z. Rothstein

Nowadays, the Standard Model Effective Field Theory (SMEFT) provides a standard framework to parameterize potential deviations from the Standard Model and to combine information from multiple processes in global analyses. This review…

High Energy Physics - Phenomenology · Physics 2026-03-19 A. Aleshko , E . Boos , V. Bunichev , L. Dudko

We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories. These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed…

High Energy Physics - Theory · Physics 2021-10-12 Brando Bellazzini , Joan Elias Miró , Riccardo Rattazzi , Marc Riembau , Francesco Riva

Charged lepton flavor violation arises in the Standard Model Effective Field Theory at mass dimension six. The operators that induce neutrinoless muon and tauon decays are among the best constrained and are sensitive to new-physics scales…

High Energy Physics - Phenomenology · Physics 2024-04-15 Julian Heeck , Mikheil Sokhashvili

We study 2-to-2 scattering amplitudes of massless spin one particles in $d=4$ space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low…

High Energy Physics - Theory · Physics 2024-10-25 Kelian Häring , Aditya Hebbar , Denis Karateev , Marco Meineri , João Penedones

We examine the unitarity properties of spontaneously broken non-commutative gauge theories. We find that the symmetry breaking mechanism in the non-commutative Standard Model of Chaichian et al. leads to an unavoidable violation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. L. Hewett , F. J. Petriello , T. G. Rizzo

We present the complete set of positivity bounds on the Higgs Effective Field Theory (HEFT) at next-to-leading order (NLO). We identify the 15 operators that can be constrained by positivity, as they contribute to $s^2$-growth in the…

High Energy Physics - Phenomenology · Physics 2024-12-19 Debsubhra Chakraborty , Susobhan Chattopadhyay , Rick S. Gupta

The new measurement of the $W$-boson mass from the CDF collaboration shows a significant tension with the Standard Model prediction. We quantify this discrepancy within a state-of-the-art analysis of electroweak precision data and…

High Energy Physics - Phenomenology · Physics 2022-08-17 Ayan Paul , Mauro Valli

We study the perturbative unitarity bound given by dimension six derivative interactions consisting of Higgs doublets. These operators emerge from kinetic terms of composite Higgs models or integrating out heavy particles that interact with…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yohei Kikuta , Yasuhiro Yamamoto

Constraining CP-violating interactions in effective field theory (EFT) of dimension six faces two challenges. Firstly, degeneracies in the multi-dimensional space of Wilson coefficients have to be lifted. Secondly, quadratic contributions…

High Energy Physics - Phenomenology · Physics 2019-06-06 Christoph Englert , Peter Galler , Andrew Pilkington , Michael Spannowsky

We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables…

High Energy Physics - Theory · Physics 2023-06-07 Simon Caron-Huot , Yue-Zhou Li , Julio Parra-Martinez , David Simmons-Duffin

We investigate the sensitivities on the Wilson coefficients of dimension-six operators associated with the anomalous $H\gamma\gamma$, $H\gamma Z$ and $HZZ$ vertices through the process $\mu^- \mu^+ \rightarrow Z\gamma\gamma$ at future muon…

High Energy Physics - Phenomenology · Physics 2025-10-21 Serdar Spor

We investigate whether or not perturbative unitarity is preserved in the Unhiggs model for the scattering process of heavy quarks and longitudinal gauge bosons $\bar q q \to V_L^+ V_L^-$. With the Yukawa coupling given in the original…

High Energy Physics - Phenomenology · Physics 2015-06-04 Christoph Englert , Michael Spannowsky , David Stancato , John Terning

We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle…

High Energy Physics - Phenomenology · Physics 2021-06-30 Quentin Bonnefoy , Luca Di Luzio , Christophe Grojean , Ayan Paul , Alejo N. Rossia

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

We investigate the preservation of unitarity in a Lorentz and CPT-violating QED model containing higher-order operators. In particular, we consider modifications in the fermion sector with dimension-five operators. The higher-order…

High Energy Physics - Theory · Physics 2023-07-26 Justo López-Sarrión , Carlos M. Reyes , César Riquelme

We treat the Standard Model as the low-energy limit of an effective field theory that incorporates higher-dimensional operators to capture the effects of decoupled new physics. We consider the constraints imposed on the coefficients of…

High Energy Physics - Phenomenology · Physics 2014-10-29 John Ellis , Veronica Sanz , Tevong You

We consider the phenomenology of a dimension-four operator that violates electromagnetic gauge invariance. Its magnitude is severely constrained by the lack of scattering of very low energy electromagnetic radiation off of the Cosmic…

High Energy Physics - Phenomenology · Physics 2013-03-14 Basem Mahmoud El-Menoufi , John F. Donoghue

We investigate the longitudinal $WW$ scattering in models of dynamical electroweak symmetry breaking featuring a spin one axial and vector state and a composite Higgs. We also investigate the effects of a composite spin two state which has…

High Energy Physics - Phenomenology · Physics 2010-01-08 Roshan Foadi , Matti Järvinen , Francesco Sannino

We formulate a generalization of Higgs effective field theory (HEFT) including arbitrary number of extra neutral and charged Higgs bosons (generalized HEFT, GHEFT) to describe non-minimal electroweak symmetry breaking models. Using the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Ryo Nagai , Masaharu Tanabashi , Koji Tsumura , Yoshiki Uchida
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