Testing a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>solution to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi></mml:math>problem

Cohen, Timothy; Pierce, Aaron

doi:10.1103/physrevd.78.055012

Cited by 10 publications

(7 citation statements)

References 35 publications

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“…At the ILC, measurements of the H 0 i Z Z couplings may help to distinguish scenarios with a light, leptophobic Z ′ from the NMSSM, since the couplings are expected to be substantially smaller in the former case [479]. In the case of TeV Z ′ bosons, searches for Z ′ decays into higgsinos can also test if a gauge symmetry is indeed responsible for the absence of a bare µ-term in the superpotential [480].…”

Section: U(1) ′ -Extensions Of the Nmssmmentioning

confidence: 98%

The Next-to-Minimal Supersymmetric Standard Model

2010

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We review the theoretical and phenomenological aspects of the Next-to-Minimal Supersymmetric Standard Model: the Higgs sector including radiative corrections and the 2-loop beta-functions for all parameters of the general NMSSM; the tadpole and domain wall problems, baryogenesis; NMSSM phenomenology at colliders, B physics and dark matter; specific scenarios as the constrained NMSSM, Gauge Mediated Supersymmetry Breaking, U(1)'-extensions, CP and R-parity violation.Comment: 144 pages, 11 figures, corrections in Eqs.(2.2), (2.21), (B.9

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Section: U(1) ′ -Extensions Of the Nmssmmentioning

confidence: 98%

The Next-to-Minimal Supersymmetric Standard Model

2010

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“…They may also decay by diquark or leptoquark couplings, or they be quasi-stable, decaying by higher-dimensional operators [52,53]. • A heavy Z may decay efficiently into sparticles, exotics, etc., constituting a "SUSY factory" [54,55,56,57,58]. • The U(1) charges may be family non-universal (especially in string constructions), leading to FCNC when fermion mixings are turned on.…”

Section: Discussionmentioning

confidence: 99%

The Physics of New U(1)ʹ Gauge Bosons

Langacker¹

2010

AIP Conference Proceedings

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Additional Z gauge bosons are predicted by a wide variety of extensions of the standard model (SM). Possibilities include TeV-scale bosons with electroweak coupling, very light bosons which nearly decouple from the standard model particles, and bosons which communicate with a quasi-hidden sector. A broad survey is given of the theoretical possibilities and of the physics implications for particle physics and cosmology. Several novel examples, including light Z s suggested by PAMELA, Stueckelberg Z s, and Z s associated with the mediation of supersymmetry breaking, are described. MOTIVATIONSAn additional Z gauge boson is one of the best motivated extensions of the standard model or MSSM. String and grand unified theories often involve large underlying groups, or (in the case of Type IIa constructions) promote SU(n) groups to U(n). In many cases, it is more difficult to break the U(1) generators than the non-abelian ones, implying that extra Z s may survive to low energies as accidental remnants of the symmetry breaking. Also, many supersymmetric U(1) models provide a natural solution to the µ problem. In that case both the SU(2) ×U(1) and U(1) breaking scales are set by SUSY breaking scale (unless the breaking is associated with a flat direction), so one naturally expects the Z mass to be comparable to the electroweak scale, up to an order of magnitude or so. Similarly, alternative electroweak models (such as leftright symmetry) or alternatives to the elementary Higgs mechanisms, e.g., dynamical symmetry breaking or Little Higgs models, involve new TeV scale physics and extended gauge groups that often lead to new TeV-scale Z s. Models in which the standard model gauge bosons can propagate in large and/or warped extra dimensions involve Kaluza-Klein excitations, with M ∼ R −1 ∼ 2 TeV×(10 −17 cm/R) in the large dimension case. Another aspect is that Z s may provide a weak coupling between the ordinary sector of matter and other sectors associated with dark matter or with supersymmetry breaking. Finally, the existence of an extra Z , especially at the TeV scale, would have extensive implications for collider physics and cosmology. In this talk I will describe selected recent developments. More general treatments may be found in several recent reviews [1, 2, 3]. arXiv:0909.3260v2 [hep-ph]

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“…In this class of models [77,78,79,80,81], a SM singlet superfield S is introduced which is charged under a new U (1) gauge interaction, so terms with mass dimensions in Eq. ( 10) are forbidden.…”

Section: µ From An Extra Local U (1)mentioning

confidence: 99%

Revisiting the SUSY μ problem and its solutions in the LHC era

et al. 2019

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The supersymmetry preserving µ parameter in SUSY theories is naively expected to be of order the Planck scale while phenomenology requires it to be of order the weak scale. This is the famous SUSY µ problem. Its solution involves two steps: 1. first forbid µ, perhaps via some symmetry, and then 2. re-generate it of order the scale of soft SUSY breaking terms. However, present LHC limits suggest the soft breaking scale m sof t lies in the multi-TeV regime whilst naturalness requires µ ∼ m W,Z,h ∼ 100 GeV so that a Little Hierarchy (LH) appears with µ m sof t . We review twenty previously devised solutions to the SUSY µ problem and re-evaluate them in light of whether they are apt to support the LH. We organize the twenty solutions according to: 1. solutions from supergravity/superstring constructions, 2. extended MSSM solutions, 3. solutions from an extra local U (1) and 4. solutions involving Peccei-Quinn (PQ) symmetry and axions. Early solutions would invoke a global Peccei-Quinn symmetry to forbid the µ term while relating the µ solution to solving the strong CP problem via the axion. We discuss the gravity-safety issue pertaining to global symmetries and the movement instead toward local gauge symmetries or R-symmetries, either continuous or discrete. At present, discrete R-symmetries of order M (Z R M ) which emerge as remnants of Lorentz symmetry of compact dimensions seem favored. Even so, a wide variety of regenerative mechanisms are possible, some of which relate to other issues such as the strong CP problem or the generation of neutrino masses. We also discuss the issue of experimental verification or falsifiability of various solutions to the µ problem. Almost all solutions seem able to accommodate the LH. *

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Testing aU(1)solution to theμproblem

Cited by 10 publications

References 35 publications

The Next-to-Minimal Supersymmetric Standard Model

The Next-to-Minimal Supersymmetric Standard Model

The Physics of New U(1)ʹ Gauge Bosons

Revisiting the SUSY μ problem and its solutions in the LHC era

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