Effective description of general extensions of the Standard Model: the complete tree-level dictionary
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Springer
Received: December 14, Revised: February 14, Accepted: March 5, Published: March 19,
2017 2018 2018 2018
J. de Blas,a,b J.C. Criado,c M. P´ erez-Victoriac,d and J. Santiagoc a
Dipartimento di Fisica e Astronomia “Galileo Galilei”, Universit` a di Padova, Via Marzolo 8, I-35131 Padova, Italy b INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy c CAFPE and Departamento de F´ısica Te´ orica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, E-18071, Granada, Spain d Theoretical Physics Department, CERN, Geneva, Switzerland
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We compute all the tree-level contributions to the Wilson coefficients of the dimension-six Standard-Model effective theory in ultraviolet completions with general scalar, spinor and vector field content and arbitrary interactions. No assumption about the renormalizability of the high-energy theory is made. This provides a complete ultraviolet/infrared dictionary at the classical level, which can be used to study the low-energy implications of any model of interest, and also to look for explicit completions consistent with low-energy data. Keywords: Beyond Standard Model, Effective Field Theories ArXiv ePrint: 1711.10391
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP03(2018)109
JHEP03(2018)109
Effective description of general extensions of the Standard Model: the complete tree-level dictionary
Contents 1 Introduction
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2 General extensions of the Standard Model
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3 Effective Lagrangian and tree-level matching
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5 Example: interpretation of LHCb anomalies
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6 Conclusions
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A Explicit BSM effective Lagrangian A.1 Standard Model Lagrangian A.2 New scalars A.3 New fermions A.4 New vectors A.5 Mixed terms
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B Dimension-six basis
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C Operators generated by each field multiplet
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D Complete contributions to Wilson coefficients D.1 Redefinitions of Standard Model interactions D.2 Dimension five D.3 Four-fermion operators D.3.1 LL LL D.3.2 RR RR D.3.3 LL RR D.3.4 LR RL and LR LR D.3.5 B-violating D.4 Bosonic operators D.4.1 φ6 and φ4 D2 D.4.2 X 2 φ2 D.5 Operators with bosons and fermions D.5.1 ψ 2 φ3 D.5.2 Xψ 2 φ D.5.3 ψ 2 φ2 D
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JHEP03(2018)109
4 Results of the matching: user guide
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Introduction
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Global fits have to be updated if there is new experimental data or new theoretical calculations within the context of the effective theory.
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JHEP03(2018)109
The discovery of the Higgs boson at the Large Hadron Collider (LHC) [1, 2] has represented a monumental step towards a deeper understanding of the mechanism of electroweak symmetry breaking in Nature. It has also implied a shift in the main physics goal of the LHC, which has turned its focus onto the search of new physics beyond the Standard Model (SM). Indeed, the LHC experimental collaborations have produced an impressive number of new physics searches that cov
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