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![Page 1: EDM constraint on NP associated with BEH boson Fanrong Xu ( 徐繁荣 ) National Taiwan University Nov. 8, 2013 @ AS.](https://reader033.fdocument.pub/reader033/viewer/2022061512/56649f265503460f94c3cf31/html5/thumbnails/1.jpg)
EDM constraint on NP associated with BEH bosonFanrong Xu (徐繁荣 )
National Taiwan University
Nov. 8, 2013 @ AS
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2
Introduction0
F. Xu
GHO @ AS,2013/11/08
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3
Introduction
“Discovery” of Higgs Boson rated year’s top scientific achievement of 2012.
F. Xu
GHO @ AS,2013/11/08
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The life of Higgs
F. Xu
Production
Decay
GHO @ AS,2013/11/08
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The discovery @ LHC Signal Strength
ICHEP2012, summer 2012
HCP2012, winter 2012
F. Xu
Higgs XSWG
Once upon a time, there was a hot word called
“h-gamma-gamma”…
GHO @ AS,2013/11/08
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The discovery @ LHC
Moriond 2013
F. Xu
EW
QCD
excess or fluctuation?
What could be hidden
in current data: NP or SM?
GHO @ AS,2013/11/08
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The discovery @ LHC
EPS-HEP 2013
LS1
F. Xu
GHO @ AS,2013/11/08
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Further Identification Spin and CP
F. Xu
J. Bendavid, EPS-HEP 2013
excludes hypothesis at
no significant discrimination yet
D. Schaefer, EPS-HEP 2013
More data is required for accurate analysis of spin and CP!
What information of spin and CP can be digged out from current data?
GHO @ AS,2013/11/08
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NP
F. Xu
GHO @ AS,2013/11/08
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Byproduct: Cutoff Scale Mass scale of exotic degrees of freedom: (0.4~8) TeV
(cutoff)
CMS@ICHEP2012
F. Xu
ATLAS@HCP2012
Can we get a hint for the NP scale?
GHO @ AS,2013/11/08
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11
Strategy
F. Xu
SM+NP
EDM+(g-2)
EFT
Based on We-Fu Chang, Wei-Ping Pan and FX, PRD 88,033004 (2013).
GHO @ AS,2013/11/08
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Gauge-Higgs Operators1
F. Xu
GHO @ AS,2013/11/08
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Effective Theory
Bottom-up approach: SM is the low energy effective theory; The full Lagrangian can be expanded by (1/cutoff)
There are limited (59) gauge invariant independent dimension-6 operators
13 F. Xu
GIMR, JHEP10 (2010)085;BW, NPB268 (1986) 621.
GHO @ AS,2013/11/08
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Effective Theory
14 F. Xu
GHO @ AS,2013/11/08
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Effective Operators Motivated by diphoton excess and DOF(s) beyond SM, we assume New Physics can be captured by the effective gauge-Higgs operators
These operators form a subset, the other 3 gauge-Higgs operators are strictly constrained by EW precision tests.
The RG running effect will not be involved in this work.
15 F. Xu
Manohar, Wise;X. Zhang, B.-L. Young;McKenn,Pospelov,Ritz
……
GJMT, 1301.2588; MEMP,1302.5661
Oblique correction: S
QCD theta term
GHO @ AS,2013/11/08
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Effective interactions
CP even/odd tree level h-V-V’ interaction is brought in
Also anomalous gauge coupling is introduced
16 F. Xu
SM-like Anomalous coupling
CP-even CP-odd
Effective coupling : the combination of WCs
Form factors
GHO @ AS,2013/11/08
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Higgs Physics2
F. Xu
GHO @ AS,2013/11/08
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Production and decay
Signal strength: co-determined by both production and decay
18 F. Xu
Error source: PDF +
Higgs XSWG
GHO @ AS,2013/11/08
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Modification @ loop level
diphoton decay:
production: gluon fusion dominates
unmeasured decay channel:
19 F. Xu
CP-even CP-odd
GHO @ AS,2013/11/08
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Modification @ tree level The tree level decay SM contribution is contained in CP-even part, phase space integral of 3-body decay needs to be treated.
Assumptions
20 F. Xu
All the final state fermions are summed up
All the fermions are massless
CP-even CP-oddGHO @ AS,2013/11/08
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Numerical Analysis
Numerical expressions at cutoff 1TeV
21 F. Xu
Rescaling:
The story of 6 parameters
GHO @ AS,2013/11/08
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Pseudo global fit
Input experimental data (up to Moriond 2013)
68 % C.L. correlation among alpha’s:
22 F. Xu
Current LHC data agrees with SM;Larger GF production smaller Higgs decay width
GHO @ AS,2013/11/08
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Constraint on Wilson coefficients
95 % C.L. correlation among Wilson coefficients:
23 F. Xu
Both CP-even and CP-odd Wilson coefficients have a boundary CP-even Wilson coefficients are well constrained, a few Constraints on CP-odd sector are poor, There is still allowance for NP, from SM theoretical errors.
SM:
LHC:
GHO @ AS,2013/11/08
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Constraint on Effective couplings
The constraints on Wilson coefficients can be translated to constraints on effective coupling
24 F. Xu
The effective coupling can be obtained after a coordinate rotation from WCs.
This coupling strength is checkable by different groups.
SM
LHC
GHO @ AS,2013/11/08
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The relation between ZZ and WW:
25 F. Xu
The boundary of decay width ratio and signal is obvious
A linear relation of signal strength between WW and ZZ is found
SM
LHC
Prediction
GHO @ AS,2013/11/08
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26
EDM, MDM3
F. Xu
GHO @ AS,2013/11/08
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27
EDM
EDM and MDM have different CP property
nEDM in SM
F. Xu
GHO @ AS,2013/11/08
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28
EDM Current nEDM
Current eEDM
F. Xu
GHO @ AS,2013/11/08
UK US
ACME collaboration, 1310.7534
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29
AMDM
AMDM: the SM deviation from experimental measurement provides a room for NP SM calculation:
Measurement: muon: muon (g-2) col.,
2006
electron: Hanneke et. al., PRA2011
F. Xu
GHO @ Nankai U.,2013/09/22
Aoyama-Hayakawa-Kinoshita., 2007
Less known
2-loop
HVP LBL
3
1.3 but error could be reduced
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EDM and AMDM in EFT
One loop EDM and g-2 can be generated due to the effective operators
30 F. Xu
CP-odd (EDM); CP-even (g-2)
McKeen-Pospelov-Ritz, PRD86, 113004 (2012)
GHO @ AS,2013/11/08
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Constraint on CP-odd sector Neutron and electron EDM upper bound provides a constraint
on 3D space.
Project to 2D plane by setting the third parameter in a certain region,
But the combination of EDM and Higgs can largely reduce allowed region
31 F. Xu
EDM constrain parameter on a long and narrow band
Higgs best fit
GHO @ AS,2013/11/08
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Constraint on CP-even sector
With a best fit of muon and electron g-2, a linear relation is obtained
g-2, giving another band with different slope from Higgs constraint, helps to further determine parameter space of CP-even sector.
32 F. Xu
g-2 Higgs best fit
GHO @ AS,2013/11/08
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A global constraint on WCs Take into account all the above experiments, we can get a
limited region in Wilson coefficient space.
33 F. Xu
CP-odd sector are severely constrained, reduced to order of 1, which also gives an indication for NP models.
GHO @ AS,2013/11/08
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Constraints on effective coupling
The constraints on Wilson coefficients can be translated to constraints on effective coupling
34 F. Xu
SM
LHC
The stringent constraint on the CP-odd sector, O(100)O(1), is because of EDM.
g-2 does not improve the constraint on CP-even sector too much.
GHO @ AS,2013/11/08
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The relation between ZZ and WW:
The interesting relation between WW/ZZ and AZ
35 F. Xu
But hard to detect
Prediction
SM
LHC
GHO @ AS,2013/11/08
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36
Discussion4
F. Xu
GHO @ AS,2013/11/08
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1. Discriminate c3
In the presence of effective operators, we have
One way to discriminate the degenerate solutions is by Higgs pair production in future LHC experiments.
37 F. Xu
The solution will bring a large deviation from SM, and would be easily checked (ruled out) by future experiments.
GHO @ AS,2013/11/08
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2. Wise-Manohar Model
Wise-Manohar model: color-octet scalar
Custodial symmetry leads to and
The physical CPV phase appears in potential, could it be the source of CP-odd operators?
38 F. Xu
WM, PRD’06; HVY,JHEP’11
……
GHO @ AS,2013/11/08
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The mechanism to generate effective operators
From a naïve dimensional analysis, constraints on model parameters can be obtained from current LHC data
39 F. Xu
CP-even CP-odd
CP-even operators can be generated at 1-loop level;
CP-odd operators cannot be generated purely from potential.
2. Wise-Manohar Model
a complement to WM modelGHO @ AS,2013/11/08
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The mechanism to generate effective operators
Such a toy model
40 F. Xu
CP-even CP-odd
CP-even operators can be generated at 1-loop level;
CP-odd operators can be produced by adding CP-violating Yukawa interaction.
2’. Another UV-complete model
Chang, Pan and Xu, work in progressGHO @ AS,2013/11/08
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3. Prediction for CPV decays
CP violation fraction
A not very predictive prediction (hard to analyze CP for photon)
41 F. Xu
The CPV fraction in WW/ZZ mode is small
There could be large CPV component in gamma-gamma/gamma-Z mode
GHO @ AS,2013/11/08
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Summary5
F. Xu
GHO @ AS,2013/11/08
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We have provided an EFT approach to 125 GeV Higgs boson, and find even all Higgs decay channels agree with SM predictions, SM theoretical uncertainty still provides a room for NP.
From current LHC data we have got a global constraint of Wilson coefficients, which indicates NP models, a toy model is constructed as a typical example.
From current LHC data, we find a linear relation between WW and ZZ, and get the limits of signal strength for different di-boson decay modes.
When EDM and AMDM are taken into account, CP-odd operators are constrained severely. An interesting relation between ZZ(WW) and gammaZ is predicted.
The potentially interesting CPV fraction in diphoton and gammaZ mode is pointed out.
We also provide a way to discriminate a degenerated solution of c3.
Summary
F. Xu
GHO @ AS,2013/11/08
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Backup: Another toy model
Color 27-plet scalar + two vector-like fermion
Scalar potential is same as color octet model The typical diagrams for generating CP-odd gauge-Higgs
operators
45 F. Xu
GHO @ AS,2013/11/08