The minimal SUSY B − L model: simultaneous Wilson lines and string thresholds

Purves

2019

J. High Energ. Phys.

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The B − L MSSM is the MSSM with three right-handed neutrino chiral multiplets and gauged B − L symmetry. The B − L symmetry is broken by the third family right-handed sneutrino acquiring a VEV, thus spontaneously breaking R-parity. Within a natural range of soft supersymmetry breaking parameters, it is shown that a large and uncorrelated number of initial values satisfy all present phenomenological constraints; including the correct masses for the W ± , Z 0 bosons, having all sparticles exceeding their present lower bounds and giving the experimentally measured value for the Higgs boson. For this "valid" set of initial values, there are a number of different LSPs, each occurring a calculable number of times. We plot this statistically and determine that among the most prevalent LSPs are chargino and neutralino mass eigenstates. In this paper, the R-parity violating decay channels of charginos and neutralinos to standard model particles are determined, and the interaction vertices and decay rates computed analytically. These results are valid for any chargino and neutralino, regardless of whether or not they are the LSP. For chargino and neutralino LSPs, we will-in a subsequent series of papers -present a numerical study of their RPV decays evaluated statistically over the range of associated valid initial points. B Mass Matrix elements 54 B.1 Chargino mass matrix 54 B.2 Neutralino mass matrix 55 -1 --4 -In Section 2, we give a brief summary of the B − L MSSM. In particular, the spontaneous breaking of gauged U (1) B−L symmetry by a non-vanishing VEV of the third family right-handed sneutrino is discussed. The associated R-parity violating interactions induced in the Lagrangian are presented in detail. The VEV of the right-handed sneutrino produces a mixing of the third family right-hand neutrino and the three left-handed neutrinos with all fermionic superpartners of the neutral gauge bosons and the up and down neutral Higgsinos. This is presented in Section 3. The general form of this 9 × 9 mass matrix is given, as well as the explicit form of the unitary matrix required to diagonalize it. However, in that section, we focus on the diagonal 3 × 3 left-handed neutrino Majorana submatix m D ν only. The mass eigenvalues of this matrix can be determined from the explicit form of the PMNS mixing matrix as well as the off-diagonal lefthanded neutrino matrix m ν . This latter matrix is a function of the R-parity violating parameters as well as three additional quantities. The result is compared with the experimentally determined mass eigenvalues of both the "normal" and the "inverted" neutrino mass hierarchies. In Section 4, we list all of the presently known experimental data that must be satisfied in any phenomenologically acceptable vacuum. These include the masses of the W ± ,Z 0 electroweak vector bosons, the Higgs mass, the present lower bounds on the SUSY sparticles and so on. Having done this, we present the mass interval in which we will statistically throw all dimensionful parameters of the soft SUSY breaking t...

Section: The B-l Mssmmentioning

confidence: 92%

Section: The B-l Mssmmentioning

confidence: 99%

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The R-parity violating decays of charginos and neutralinos in the B-L MSSM

Dumitru

Purves

2019

J. High Energ. Phys.

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“…In this section, we will briefly review the theory of supersymmetric Sneutrino-Higgs inflation, first presented in [35], that arises within the context of the B-L MSSM [20,21,22,56,57,26,27,28,29,30,31] coupled to N = 1 supergravity.…”

Section: Sneutrino-higgs Inflationmentioning

confidence: 99%

“…This theory is known to remain anomaly free and is the simplest possible extension of the MSSM. This theory was introduced in [20], and its properties studied in a series of papers [21,22,23,24,25,26,27,28,29,30,31]. Importantly, it was shown in [30] that for a very wide and diverse range of initial conditions, the B-L MSSM is completely consistent with all phenomenological data; that is, the B-L symmetry is appropriately radiatively broken, electroweak symmetry is also radiatively broken with the correct values of the Z 0 and W ± masses, all sparticles exceed the present experimental bounds and, remarkably, the prediction for the mass of the neutral Higgs boson is within 2σ of the present ATLAS bounds from CERN [32,33,34].…”

Section: Introductionmentioning

confidence: 99%

Perturbative reheating in Sneutrino-Higgs cosmology

Cai

Deen

et al. 2018

J. High Energ. Phys.

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The theory of perturbative reheating in the Sneutrino-Higgs cosmology of the B-L MSSM is presented. It is shown that following an epoch of inflation consistent with all Planck2015 data, the inflaton begins to oscillate around its minimum at zero and to reheat to various species of standard model and supersymmetric matter. The perturbative decay rates to this matter are computed, both analytically and numerically. Using these results, the Hubble parameter and the relative energy densities for each matter species, including that of the inflaton, are calculated numerically. The inflaton energy density is demonstrated to vanish at an energy scale of O(10 13 ) GeV, signaling the end of the period of reheating. The newly created matter background is shown to be in thermal equilibrium, with a reheating temperature of 1.13×10 13 GeV. To allow for a B-L breaking scale sufficiently smaller than the reheating scale, we extend the statistical method of determining the soft supersymmetry breaking parameters developed in previous work. The result is that one can determine a large number of phenomenologically realistic initial conditions for which the B-L breaking scale is an order of magnitude or more smaller than the reheating scale. 1

Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models

Ashmore

Dumitru

Fortschritte der Physik

2021

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We review the compactification to five‐dimensional heterotic M‐theory on a Schoen Calabi–Yau threefold and the specific SU(4) vector bundle leading to the “heterotic standard model” in the observable sector. Within strongly coupled heterotic M‐theory, a formalism for consistent hidden‐sector bundles associated with a single line bundle is presented, and a specific line bundle is introduced as a concrete example. Anomaly cancellation and the associated bulk space five‐branes are discussed in this context, as is slope‐stability of both the observable and hidden sector bundles. The further compactification to a four‐dimensional effective theory on a linearized BPS double domain wall is then presented to order κ114/3. Specifically, the generic constraints required for anomaly cancellation and the restrictions imposed by positive squared gauge couplings to order κ114/3 are presented in detail. Three additional constraints are imposed, one guaranteeing that the S1/double-struckZ2 orbifold length is sufficiently larger than the average Calabi–Yau radius, and two enforcing that the hidden sector be compatible with both the unification mass scale and unified gauge coupling of the SO(10) group in the observable sector. Finally, the expression for the Fayet–Iliopoulos term associated with an anomalous U(1) symmetry is presented and its role in N=1 supersymmetry in the low‐energy effective theory is discussed. It is shown that N=1 supersymmetry can be preserved by cancelling the tree‐level and genus‐one contributions against each another. As a check on our results, we calculate several quantities to order κ116/3 and show that they remain physically acceptable, and even improve, when computed to higher order.