18 research outputs found
Higher Dimensional Operators in the MSSM
The origin and the implications of higher dimensional effective operators in
4-dimensional theories are discussed in non-supersymmetric and supersymmetric
cases. Particular attention is paid to the role of general,
derivative-dependent field redefinitions which one can employ to obtain a
simpler form of the effective Lagrangian. An application is provided for the
Minimal Supersymmetric Standard Model extended with dimension-five R-parity
conserving operators, to identify the minimal irreducible set of such operators
after supersymmetry breaking. Among the physical consequences of this set of
operators are the presence of corrections to the MSSM Higgs sector and the
generation of "wrong"-Higgs Yukawa couplings and fermion-fermion-scalar-scalar
interactions. These couplings have implications for supersymmetry searches at
the LHC.Comment: Contribution to the proceedings of the "Susy 2008" conference; (6
pages
Nonlinear Supersymmetry, Brane-bulk Interactions and Super-Higgs without Gravity
We derive the coupling of a hypermultiplet of N=2 global supersymmetry to the
Dirac-Born-Infeld Maxwell theory with linear N=1 and a second nonlinear
supersymmetry. At the level of global supersymmetry, this construction
corresponds to the interaction with Maxwell brane fields of bulk
hypermultiplets, such as the universal dilaton of type IIB strings compactified
on a Calabi-Yau manifold. It displays in particular the active role of a
four-form field. Constrained N=1 and N=2 superfields and the formulation of the
hypermultiplet in its single-tensor version are used to derive the nonlinear
realization, allowing a fully off-shell description. Exact results with
explicit symmetries and supersymmetries are then obtained. The
electric-magnetic dual version of the theory is also derived and the gauge
structure of the interaction is exemplified with N=2 nonlinear QED of a charged
hypermultiplet. Its Higgs phase describes a novel super-Higgs mechanism without
gravity, where the goldstino is combined with half of the hypermultiplet into
an N=1 massive vector multiplet.Comment: 42 page
Beyond the MSSM Higgs with d=6 effective operators
We continue a previous study of the MSSM Higgs Lagrangian extended by all
effective operators of dimension d=6 that can be present beyond the MSSM,
consistent with its symmetries. By supersymmetry, such operators also extend
the neutralino and chargino sectors, and the corresponding component fields
Lagrangian is computed onshell. The corrections to the neutralino and chargino
masses, due to these operators, are computed analytically in function of the
MSSM corresponding values. For individual operators, the corrections are small,
of few GeV for the constrained MSSM (CMSSM) viable parameter space. We
investigate the correction to the lightest Higgs mass, which receives, from
individual operators, a supersymmetric correction of up to 4 (6) GeV above the
2-loop leading-log CMSSM value, from those CMSSM phase space points with: EW
fine tuning Delta<200, consistent with WMAP relic density (3), and for
a scale of the operators of M=10 (8) TeV, respectively. Applied to the CMSSM
point of minimal fine tuning (Delta=18), such increase gives an upper limit
GeV, respectively. The increase of m_h from individual
operators can be larger ( 10-30 GeV) for those CMSSM phase space points
with Delta>200; these can now be phenomenologically viable, with reduced Delta,
and this includes those points that would have otherwise violated the LEP2
bound by this value. The neutralino/chargino Lagrangian extended by the
effective operators can be used in studies of dark matter relic density within
extensions of the MSSM, by implementing it in public codes like micrOMEGAs.Comment: 36 pages, Latex, 16 figures (v2: minor changes, corrected typos
Non-linear MSSM
Using the formalism of constrained superfields, we derive the most general
effective action of a light goldstino coupled to the minimal supersymmetric
standard model (MSSM) and study its phenomenological consequences. The
goldstino-induced couplings become important when the (hidden sector) scale of
spontaneous supersymmetry breaking, , is relatively low, of the order
of few TeV. In particular, we compute the Higgs potential and show that the
(tree level) mass of the lightest Higgs scalar can be increased to the LEP
bound for TeV to 7 TeV. Moreover, the effective quartic Higgs
coupling is increased due to additional tree-level contributions proportional
to the ratio of visible to hidden sector supersymmetry breaking scales. This
increase can alleviate the amount of fine tuning of the electroweak scale that
exists in the MSSM. Among the new goldstino couplings, beyond those in MSSM,
the most important ones generate an invisible decay of the Higgs boson into a
goldstino and neutralino (if m_h>m_{\chi_1^0}), with a partial decay rate that
can be comparable to the SM channel h^0-> \gamma\gamma. A similar decay of Z
boson is possible if m_Z>m_{\chi_1^0} and brings a lower bound on
that must be of about 700 GeV. Additional decay modes of the Higgs or Z bosons
into a pair of light goldstinos, while possible, are suppressed by an extra 1/f
factor and have no significant impact on the model.Comment: 25 pages, LaTeX, 8 figures; v3: added reference
The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry
The string coupling of N=2 supersymmetric compactifications of type II string
theory on a Calabi-Yau manifold belongs to the so-called universal dilaton
hypermultiplet, that has four real scalars living on a quaternion-Kaehler
manifold. Requiring Heisenberg symmetry, which is a maximal subgroup of
perturbative isometries, reduces the possible manifolds to a one-parameter
family that describes the tree-level effective action deformed by the only
possible perturbative correction arising at one-loop level. A similar argument
can be made at the level of global supersymmetry where the scalar manifold is
hyper-Kaehler. In this work, the connection between global and local
supersymmetry is explicitly constructed, providing a non-trivial gravity
decoupled limit of type II strings already in perturbation theory.Comment: 24 page
Nonlinear supersymmetry and goldstino couplings to the MSSM
We briefly review the nonlinear supersymmetry formalisms in the standard realization and superfield methods. We then evaluate the goldstino couplings to the minimal supersymmetric standard model (MSSM) superfields and discuss their phenomenological consequences. These relate to the tree-level Higgs mass and to invisible Higgs- and Z-boson decays. The Higgs mass is increased from its MSSM tree-level value and brought above the LEP2 mass bound for a low scale of supersymmetry breaking âf ⌠2 TeV to 7 TeV. The invisible decay rates of the Higgs and Z bosons into goldstino and neutralino are computed and shown to bring stronger constraints on f than their decays into goldstino pairs, which are subleading in 1/f
MSSM Higgs with dimension-six operators
We investigate an extension of the MSSM Higgs sector by including the effects of all dimension-five and dimension-six effective operators and their associated supersymmetry breaking terms. The corrections to the masses of the neutral CP-even and CP-odd Higgs bosons due to the d=5 and d=6 operators are computed. Due to their relative \tan\beta enhancement which compensates their extra scale suppression (1/M), the mass corrections from d=6 operators are not suppressed and can be comparable to those of d=5 operators, even for conservative values of the energy scale M. We identify the effective operators with the largest individual corrections to the lightest Higgs mass and discuss whether at the microscopic level and in the simplest cases, these operators are generated by "new physics" with a sign consistent with an increase of m_h. Simple numerical estimates easily allow an increase of m_h due to d=6 operators alone in the region of 10-30 GeV, while for a much larger increase light new states beyond MSSM may be needed, in which case the effective description is unreliable. Special attention is paid to the treatment of the effective operators with higher derivatives. These can be removed by non-linear field redefinitions or by an "unfolding" technique, which effectively ensure that any ghost degrees of freedom (of mass \geqsim M) are integrated out and absent in the effective theory at scales much smaller than M. Considering gen eral coefficients of the susy operators with a scale of new physics above the LHC reach, it is possible to increase the tree-level prediction for the Higgs mass to the LEPII bound, thus avoiding the MSSM fine-tuning