R-Parity Violating Decays of Wino Chargino and Bino ...elcapitan_hep...Majorana mass terms for the...
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R-Parity Violating Decays ofWino Chargino and Bino Neutralino
LSPs of the B-L MSSM
Burt Ovrut
Frontiers in Physics: From EW to the Planck ScalesCorfu, Greece
September 15-19, 2019
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SU(4) Heterotic Compactification:
V , G = SU(4)“slope” stable
D = 6X, “Schoen” CY
W , F = Z3 � Z3R4
N = 1 SUSY
G = SU(4)� E8 � Spin(10)
R4 Theory Gauge Group:
Choose the Wilson lines to be Z3 � Z3
�T3R = eiYT3R2�3 , �B�L = eiYB�L
2�3
⇒
⇒Spin(10)� SU(3)C � SU(2)L� U(1)T3R � U(1)B�L
Turning on the Wilson lines
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R4 Theory Spectrum:
nr = (h1(X, UR(V ))�R)Z3�Z3 .⇒ of quarks/leptons3 families
and 1 pair of Higgs-Higgs conjugate fields
under
Gauge Coupling Unification:
The Wilson lines associated with 3R and B-L have the mass scales andM�T3R
respectively.M�B�L
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In this talk, we will choose the case where
Adjusting the relative sizes of these two masses, one canenforce gauge coupling unification at scale
M�B�L = MU � 3.0� 1016GeV , �U � 0.046
whereM�T3R
= MI � 3.7� 1015GeVThat is
M�B�L > M�T3R
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The associated particle spectra are
The results on RPV do not substantially change if we choose theother two Wilson line mass relations.
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The B-L MSSM begins at scale MI . Its superpotential is given by
Supersymmetry is softly broken at that scale with Lagrangian
the third family right-handed sneutrino develops a VEV
The parameters of the theory are then run down to lower mass scalesvia complicated renormalization group equations. We find that
thus breakingU(1)3R � U(1)B�L � U(1)Y
Scaling to lower energy induces the EW breaking VEVs
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The gauge boson ZR arising from breaking to
Recalling that
it follows that spontaneously breaks lepton number L andhence R-parity. This induces the lepton number violating terms
where ,
in the superpotential and
The VEVMajorana mass terms for the left-handed neutrinos given by
where
U(1)Y has mass
from the super-covariant derivatives. also induces
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A,B and C are complicated functions of the various parameters and VEVs.We choose the RPV parametersmost recent values for the neutrino mass given by
to obtain the
The dimensional soft supersymmetry breaking parameters will bestatistically chosen in the interval
That is, approximately
⇒ potentially allows masses, such as the LSP masses, from just abovethe EW scale to highest energy scale at the LHC.Additionally, we randomly scatter the signs of the soft parameter to be
and the value of
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Phenomenological constraints:
From all initial random scatterings of the above, we select only thoseinitial values satisfying all of the following phenomenologicalconstraints.
MZR � 4.1TeV
The mass of all sparticles must exceed their current lower bounds
The EW bosons masses must have their experimental values
The Higgs mass must be within the current ATLAS bounds3�
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The RGEs for the 24 soft SUSY parameters are dominated by two parameters
The results of 100 million random choices of the initial soft SUSY parameters,expressed in terms of these two dimensional parameters are
Figure Caption:
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Each of the black points corresponds to initial conditions satisfying all lowenergy experimental constraints. However, they can have different LSPs.We find that
Figure Caption:
For the present talk, we note that there are 4,858 Wino chargino LSPs, 42,039 Bino neutralino LSPs
and discuss their RPV decays.
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The VEVs,
lead to serious mixing of the gauge eigenstates and, hence, new masseigenvalues and eigenstates. Rewriting the complete Lagrangian in terms of these new quantities is a difficult job. I will spare you the details.
1) Wino Chargino LSP Decays:
The plot of the mass range of the Wino chargino LSPs is
Figure Caption: 194 GeV to 1710 GeV, peaking towards the low mass end.Mass distribution of the Wino charging LSPs. The mass range is from
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We find that the pure RPV decays of Wino charginos into standard model matter has 3 possible channels. These are
, ,
For example,(c)(a) (b)
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where
,,
and X+1 = cos�+W̃+ + sin�+H̃�
The results for X�1 are given by complex conjugation.
+
Using these results, one can compute the RPV decay rates and branching ratios for the Wino chargino LSP. The results are the following.
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Decay Lengths (= c/Decay Rate):
Figure Caption:
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Figure Caption:
Branching Ratios:
three
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Figure Caption:
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2) Bino Neutralino LSP Decays:
The plot of the mass range of the Bino neutralino LSPs is
Figure Caption:
Note that, unlike the Wino chargino, the Bino neutrino can be arbitrarilylight. ⟹
Could the Bino neutralino be Dark Matter??
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Bino neutrinos to standard model matter has 3 possible channels.
As with the Wino chargino, one can compute the RPV decay rates and branching ratios for the Bino neutralino LSP. The results are the following.
) We find that the RPV decays of “on-shell” (Bino neutralino mass > MEW
These are
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Decay Lengths (= c/Decay Rate):
Figure Caption:
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Branching Ratios:
Figure Caption:
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Figure Caption: