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We calculate the complete tree and one-loop matching of the dimension 6 Standard Model Effective Field Theory (SMEFT) with unbroken $U(3)^5$ flavour symmetry to the operators of the Weak Effective Theory (WET) which are responsible for…

High Energy Physics - Phenomenology · Physics 2019-07-02 Tobias Hurth , Sophie Renner , William Shepherd

Di-Higgs ($hh$) production is crucial for probing the Higgs boson self-interaction and understanding the electroweak phase transition. Deviations from Standard Model predictions in $hh$ gluon-gluon fusion (ggF) can be systematically…

High Energy Physics - Phenomenology · Physics 2025-08-12 L. Cadamuro , T. Ingebretsen Carlson , J. Sjölin

We show that, in addition to the counting of canonical dimensions, a counting of loop orders is necessary to fully specify the power counting of Standard Model Effective Field Theory (SMEFT). Using concrete examples, we demonstrate that…

High Energy Physics - Phenomenology · Physics 2023-11-07 G. Buchalla , G. Heinrich , Ch. Müller-Salditt , F. Pandler

We formulate an Effective Field Theory (EFT) for Non Standard neutrino Interactions (NSI) in elastic scattering with light quarks, leptons, gluons and photons, including all possible operators of dimension 5, 6 and 7. We provide the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Wolfgang Altmannshofer , Michele Tammaro , Jure Zupan

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 present an efficient algorithm for determining the Hilbert series of an effective theory and provide a companion code called ECO (Efficient Counting of Operators) in FORM. For example, the Hilbert series for the dimension 15 operators in…

High Energy Physics - Phenomenology · Physics 2020-07-29 Coenraad B. Marinissen , Rudi Rahn , Wouter J. Waalewijn

Effective theories are well established theoretical frameworks to describe the effect of energetically widely separated UV models on observables at lower energy scales. Due to the complexity of the effective theory when taking all the…

High Energy Physics - Phenomenology · Physics 2021-03-31 Supratim Das Bakshi , Joydeep Chakrabortty , Michael Spannowsky

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

Effective field theory tools are essential for exploring non-Standard Model physics at the LHC in the absence of the discovery of new light particles. Predictions for observables are typically made at the lowest order in the QCD and…

High Energy Physics - Phenomenology · Physics 2024-12-19 Luigi Bellafronte , Sally Dawson , Pier Paolo Giardino

In these 4 lectures, I give a brief introduction to the principles of effective field theory and discuss their application via 3 examples: (i) the Standard Model as an effective theory; (ii) non-linear sigma models and the composite Higgs;…

High Energy Physics - Phenomenology · Physics 2015-06-17 Ben Gripaios

LHC searches have revealed that the Higgs boson decay to a photon pair is nearly consistent with the Standard Model (SM), whereas recently, there is evidence for the decay of the Higgs boson to a $Z$-boson and a photon. These decays are…

High Energy Physics - Phenomenology · Physics 2024-09-10 Kostas Mantzaropoulos

We make a first matching of the real Higgs triplet extension (RHTE) of the standard model to the Higgs effective field theory (HEFT), which is also known as electroweak chiral Lagrangian (EWChL). In the RHTE, the ratio $\xi$ of two VEVs…

High Energy Physics - Phenomenology · Physics 2025-03-04 Huayang Song , Xia Wan

The existence of Beyond Standard Model (BSM) physics is firmly suggested by both experimental observations (Dark Matter, neutrino masses) and theoretical arguments. In the hypothesis that the scale of new physics is considerably higher than…

High Energy Physics - Phenomenology · Physics 2021-09-08 Luca Mantani

Precision observables are well known for constraining most of the Beyond Standard Model (BSM) scenarios tightly. We present here a simple and comprehensive fitting framework for various BSM scenarios to these observables. We start with the…

High Energy Physics - Phenomenology · Physics 2023-05-24 Mathew Thomas Arun , Kuldeep Deka , Tripurari Srivastava

In this set of four lectures I will discuss some aspects of the Standard Model (SM) as a quantum field theory and related phenomenological observations which have played a crucial role in establishing the $SU(2)_{L} \times U(1)_{Y}$ gauge…

High Energy Physics - Phenomenology · Physics 2017-03-16 Rohini M. Godbole

Higgs Effective Field Theory (HEFT) is deployed to study elastic vector-boson scattering at the high LHC energies. The interaction is strong over most of the parameter space, with the minimal Standard Model being a remarkable exception.…

High Energy Physics - Phenomenology · Physics 2019-10-29 Antonio Dobado , Felipe J. Llanes-Estrada , Alexandre Salas-Bernardez , Rafael L. Delgado

We examine how sub-leading results in the operator and loop expansion for $\sigma(\mathcal{G} \mathcal{G} \rightarrow h)$ in the Standard Model Effective Field Theory (SMEFT) inform theoretical error estimates when studying this production…

High Energy Physics - Phenomenology · Physics 2022-04-12 Adam Martin , Michael Trott

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

We consider renormalisable models extended in the scalar sector by a generic scalar field in addition to the standard model Higgs boson field, and work out the effective theory for the latter in the decoupling limit. We match the full…

High Energy Physics - Phenomenology · Physics 2015-10-28 Cheng-Wei Chiang , Ran Huo

We present the NLO (two-loop) QCD corrections to Higgs boson pair production in gluon fusion within Standard Model Effective Theory (SMEFT), including also squared dimension-6 operators and double insertions of operators. The different…

High Energy Physics - Phenomenology · Physics 2022-07-19 Gudrun Heinrich , Jannis Lang , Ludovic Scyboz