Stability of neutral minima against charge breaking in the Higgs triplet model
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Springer
Received: December 3, 2019 Accepted: February 3, 2020 Published: February 27, 2020
P.M. Ferreiraa,b and B.L. Gon¸calvesc a
Instituto Superior de Engenharia de Lisboa, Instituto Polit´ecnico de Lisboa, 1959-007 Lisboa, Portugal b Centro de F´ısica Te´ orica e Computacional, Faculdade de Ciˆencias, Universidade de Lisboa, Campo Grande, Edif´ıcio C8 1749-016 Lisboa, Portugal c Departamento de F´ısica and CFTP, Instituto Superior T´ecnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
E-mail: [email protected], [email protected] Abstract: We analyse the possibility of charge breaking minima developing in the Higgs triplet model, and under what conditions they are deeper than charge-preserving ones. Analytical expressions relating the depth of minima of different types are deduced. A global symmetry of the model leads to increased stability for charge-preserving vacua. However, if that symmetry is broken by a soft term, deeper charge-breaking minima may occur more easily. We identify the vev configurations most likely to produce charge breaking minima. Keywords: Beyond Standard Model, Higgs Physics ArXiv ePrint: 1911.09746
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP02(2020)182
JHEP02(2020)182
Stability of neutral minima against charge breaking in the Higgs triplet model
Contents 1 Introduction
1
2 The 2.1 2.2 2.3
3 4 6 7
Higgs-triplet model The neutral vacua Spontaneous CP breaking? The charge breaking vacua
8 10 11 12
4 Potential with soft-breaking term
13
5 The case of the vevless doublet 5.1 Stability of minima of type N 1 and N 2 against charge breaking without soft-breaking 5.2 Stability of minima of type N 1 against charge breaking with soft-breaking
16
6 Numerical analysis
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7 Conclusions
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A Complex charge breaking vevs — non-soft breaking case
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B Complex charge breaking vevs — soft breaking case
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C Multiple N 1 minima
29
1
17 18
Introduction
One of the fundamental hypotheses of the Standard Model (SM) of particle physics is the Higgs mechanism, through which elementary particles acquire their mass. These masses arise from the spontaneous breaking of gauge symmetries, when a scalar doublet acquires a non-zero vacuum expectation value (vev). This mechanism implies the existence of an elementary spin-0 particle, the Higgs boson, finally discovered in 2012 by the LHC collaborations [1, 2]. Further measurements of the properties of this particle (see, for instance, [3, 4]) show that it behaves in a very similar manner to the SM Higgs particle, but current precision on the couplings of this scalar still leave a lot of room for theories
–1–
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3 Potential without soft-breaking term 3.1 Stability of minima of type N 2 against charge breaking 3.2 Stability of minima of type N 1 against charge breaking 3.3 Stability of minima of type N 2 against neutral extrema
–2–
JHEP02(2020)182
with extended scalar sectors. One of the simplest such models is the two-Higgs doublet model (2HDM), pr
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