Effective limits on single scalar extensions in the light of recent LHC data

In this paper, we work with 16 different single scalar particle extensions of the Standard Model. We present the sets of dimension-six effective operators and the associatedWilson coefficients as functions of model parameters after integrating out the heavy scalars up to one loop, including the heavy-light mixing, for each such scenario. Using the correspondence between the effective operators and the observables at the electroweak scale, and employing Bayesian statistics, we compute the allowed ranges of new physics parameters that are further translated and depicted in two-dimensional Wilson coefficient space in light of the latest CMS and ATLAS data up to 137 and 139 fb−1, respectively.We also adjudge the status of those new physics extensions that offer similar sets of relevant effective operators. In addition, we provide a model-independent fit of 23 Standard Model effective field theory Wilson coefficients using electroweak precision observables, single- and di-Higgs data, as well as kinematic distributions of diboson production.SRA (Spain) PID2019 - 106087 GB -C21/10.13039/5011000110Junta de Andalucia FQM-101 A-FQM-467-UGR18 PID2021-128396NB-100 P18 -FR -4314UK Research & Innovation (UKRI) Science & Technology Facilities Council (STFC) ST/P001246/1Alexander von Humboldt FoundationScience and Engineering Research Board, Government of India SERB/PHY/2019501Sugar Research Australi

Classifying standard model extensions effectively with precision observables

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 Standard Model symmetries and degrees of freedom into account, tensioning the entire system in a completely agnostic way against experimental measurements results in constraints on the Wilson coefficients of the effective operators that either bears little information or challenge intrinsic assumptions imposed on the effective field theory framework. In general, a specific high-scale extension of the Standard Model only induces a subset of all possible operators. Thus, by investigating which operators are induced by different classes of the Standard Model extensions and comparing to which precision observables they contribute, we show that it is possible to obtain an improved understanding of which UV model is realised in nature. We present the tree + 1 -loop matching results for dimension-6 operators of 15 different BSM scenarios onto SMEFT, and also including, the specific model-based contributions to the observables. We argue that more observables and matching with higher theoretical precision will pave the way to distinguish the single scalar extensions of the SM signatures uniquely. We promote this approach to study new sets of observables in the context of current and near future experiments

CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory

CoDEx is a Mathematica package that calculates the Wilson Coefficients (WCs) corresponding to effective operators up to mass dimension-6. Once the part of the Lagrangian involving single as well as multiple degenerate heavy fields, belonging to some Beyond Standard Model (BSM) theory, is given, the package can then integrate out propagators from the tree as well as 1-loop diagrams of that BSM theory. It then computes the associated WCs up to 1-loop level, for two different bases: "Warsaw" and "SILH". CoDEx requires only very basic information about the heavy field(s), e.g., Colour, Isospin, Hyper-charge, Mass, and Spin. The package first calculates the WCs at the high scale (mass of the heavy field(s)). We then have an option to perform the renormalisation group evolutions (RGEs) of these operators in "Warsaw" basis, a complete one (unlike "SILH"), using the anomalous dimension matrix. Thus, one can get all effective operators at the electro-weak scale, generated from any such BSM theory, containing heavy fields of spin: 0, 1/2, and 1. We have provided many example models (both here and in the package-documentation) that more or less encompass different choices of heavy fields and interactions. Relying on the status of the present day precision data, we restrict ourselves up to dimension-6 effective operators. This will be generalised for any dimensional operators in a later version. Site: https://effexteam.github.io/CoDExComment: 25 pages, 1 figure, corrections and citations adde

Running beyond ALPs: shift-breaking and CP-violating effects

We compute the renormalization group equations (RGEs) of the Standard Model effective field theory (EFT) extended with a real scalar singlet, up to dimension-five and one-loop accuracy. We compare our renormalization results with those found in the shift-symmetry preserving limit, which characterizes axion-like particles (ALPs). The matching and running equations below the electroweak scale are also obtained, including the mixing effects in the scalar sector. Such mixing leads to interesting phenomenological consequences that are absent in the EFT at the renormalizable level, namely new correlations among the triplet and quartic Higgs couplings are predicted. All RGEs obtained in this work are implemented in a new Mathematica package - ALPRunner, together with functions to solve the running numerically for an arbitrary set of UV parameters. As an application, we obtain the improved electric dipole moment constraints on particular regions of the singlet parameter space, and quantify the level of shift-breaking in these regions.Comment: 35 pages, 5 figures, 5 table

Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions II

Data Availibility Statement This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated during the current study are available in the Github repository https://github.com/SMEFT-Dimension8-RGEs.]We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order v4/Λ4, with v∼246 GeV being the electroweak scale and Λ the unknown new physics threshold. We focus on contributions driven by one dimension-eight term and SM couplings, thus extending (and completing) the effort initiated in Chala et al. (SciPost Phys 11:065, 2021). arXiv:2106.05291, in which quantum corrections from pairs of dimension-six interactions were considered. We highlight some interesting consequences, including the renormalisation of loop-induced interactions by tree-level generated terms and, more importantly, the validity of positivity bounds on different operators inducing anomalous gauge quartic couplings.Junta de Andalucía under grants FQM 101, A-FQM-211-UGR18, P18-FR-4314 (FEDER) and A-FQM-467-UGR18 (FEDER)LIP (FCT, COMPETE2020-Portugal2020, FEDER, POCI-01-0145-FEDER-007334) and by FCT under the project CERN/FIS-PAR/0032/2021 and under the grant SFRH/BD/144244/2019Grants PID2019-106087GB-C21/C22 (10.13039/501100011033)Spanish MINECO under the FPI programmeSpanish MINECO under the Ramón y Cajal programmeFunding for open access charge: Universidad de Granada/CBU

Theory Techniques for Precision Physics -- Snowmass 2021 TF06 Topical Group Report

The wealth of experimental data collected at laboratory experiments suggests that there is some scale separation between the Standard Model (SM) and phenomena beyond the SM (BSM). New phenomena can manifest itself as small corrections to SM predictions, or as signals in processes where the SM predictions vanish or are exceedingly small. This makes precise calculations of the SM expectations essential, in order to maximize the sensitivity of current and forthcoming experiments to BSM physics. This topical group report highlights some past and forthcoming theory developments critical for maximizing the sensitivity of the experimental program to understanding Nature at the shortest distances.Comment: 36 pages, 2 figures. Report of the TF06 topical group for Snowmass 202