[theory] extended higgs sectors and high-energy flavour dynamics · 2019-06-04 · 0.0 0.5 1.0 1.5...
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European Strategy meeting in Granada, May 2019
[Theory] Extended Higgs sectors and high-energy flavour dynamicsVeronica Sanz
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Non-minimal EWSB: singlets/doublets
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Singlets/doublets
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A doublet Higgs has 4 dof
Higgs = (vev + higgs particle + W/Z dofs)
and that’s all we need in the SM
SUSY at least two doublets Composite Higgs no reason for global breaking to be minimal
Scalars will mix & modify Higgs
Why more? Occam’s razor
But in BSM models minimal EWSB is not generic
More structure/symmetries tend to need a more complex
scalar sector
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Interplay Higgs/EWPO/direct
�S =1
6⇡c̄H(m�) log
✓m�
mZ
◆
/ sin2 �EWPOmixing
massHiggsDirect
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Phase transitions: a new opportunityAdditional contributions to the EW phase transition
from singlets and doubletsReach to 1st order? Baryogenesis and Gravitational waves
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from ClineLISA’s proposal
Open new opportunities at the TeVColliders/LISA/EDMs
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500 1000 1500 2000 2500 3000 [GeV]φm
4−10
3−10
2−10
1−10
γ2
95
% C
.L.
lim
it o
n s
in
Higgs couplings:HL-LHCHE-LHCLHeCILC 500 GeVFCC-eeCEPCFCC-ee/eh/hhCLIC 3 TeV
EWPO:HL-LHCHE-LHCLHeCILC 500 GeVFCC-eeCEPCFCC-ee/eh/hhCLIC 3 TeV
Direct:HL-LHCHE-LHCCLIC 1.5 TeVCLIC 3 TeV 50 100 150 200 250 300
m2 [GeV]
0.0
0.5
1.0
1.5
2.0
2.5
3.0
a 2
�⇤T⇤
= 5
�⇤T⇤
= 2
�H
S2
FCC-all
CLIC3
Phase transitions: singlet example
MIXING NO MIXING, Z2
m�
thanks to Chala, LISA draft
6
Dots 1OPT from 1605.06123
Upper limit on singlet mass < TeVcorrelation with anomalous di-Higgs
Lessons common tosinglets/doublets
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On the UV origin of flavour
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The 3rd generation & flavour
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The structure of EWSB (the origin of mass)
and the UV structure of flavourare linked
[from G Kane, Scientific American]
The third generation feels EWSB more strongly than the other two
may be a sensitive probe into flavour
Consistent with observations: we know of the flavour properties of the 1st and
2nd generation to be SM-like to a higher precision
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Let’s make the third generation special
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Example: Warped extra-dimensions
EWdynamics
UVdynamics
Our 4D-world measurements: distributions inside the extra-dimension*most fermions light because they do not feel EWSB that much
*third generation special because it happens to be (spatially) closer to the place where EWSB happens
What if Nature were higher-dimensional?
xdim
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Let’s make the third generation special, again
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Example: Partial compositeness
Mixing of third generation with fermions from the new strong sector happens to be larger than for the 1st and 2nd generations
Higgs as a Composite Higgs
What if there were a new strongly coupled sector?
Elementarysector
CompositeEW
sector3rd generation
1st-2nd generations
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Top flavour and FCNCs
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Top FCNC decays—typical predictions
Typical predictions (Snowmass 1311.2028 )
Best sensitivity to models 2HDM (FV) and RS
ph/9609279, ph/0606293
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Top FCNC decays: in context
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2HDM (FV) RS
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2HDM (FV)
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Top FCNC decays—typical predictions
see recent analysis 1710.03752
Assuming flavour violation
/pmi mj
v
RSwarped extra-dimensions
precursor of modern partial compositeness models
Third generation is special, dynamically or by design
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Leptoquarks and flavour anomalies
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Flavour anomalies: is the SM breaking down?
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current exp world averagefrom 1903.11517
SM prediction
Shaded region:U1 models
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Flavour anomalies: current statusMoriond 2019, no paradigm shift
Data yet to be analysed and to be made public
One of the preferred explanations to this and other flavour anomaliesis the existence of new LQs, particularly U1
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Leptoquarks? That’s so 80’s!
Objects with L and B numbersInitial motivation GUTs
possible in many models
SU(5), SO(10)Pati/Salam
squarks in RPV Ext TC/generic compositeness
PDG
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The U1 in a nutshell Review U1 in 1808.08179 recent 1903.11517,1704.05438v4
mass 1-2 TeV can explain the anomalies with LH couplingsdirect searches and indirect
high-pT searches
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4 fermion operatorsflavour observableslow-energy indirect
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Model building a flavour anomalyEven if the anomalies went away
efforts to fit them in a theoretical context will remain
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E.g. 1903.11517
The U1 in a UV-complete model is a difficult exercise
G4321 = SU(4)⇥ SU(3)0 ⇥ SU(2)⇥ U(1)0
PS3
Occam’s razorto principles
not to matter content
Gauge group
Flavour symmetry 3rd gen vs others
flavour is difficult
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OutlookIs the Higgs sector minimal? Are there other scalar resonances participating in EWSB? We tackle this question with a combination of indirect EWPT, Higgs measurements (including di-Higgs) and direct searches
If not minimal, could the EW phase transition be strong 1st order? Scalars need to be light (< TeV) and typically modify the properties of the Higgs. Colliders have an excellent coverage to these scenarios. Exceptional opportunity to connect with GWs and theoretical approaches to fluid dynamics
If strong 1st order, could the EW phase transition explain baryogenesis? Connection to EDM measurements and other observables sensitive to CPV
Could we understand the UV origin of flavour with colliders? Possibly, if some preferential treatment of 3rd generation. Top FCNCs and B anomalies could provide the first clues. Theoretical efforts to fit all this in a full framework underway