New RG-invariants of soft supersymmetry breaking parameters

Kobayashi, Tatsuo; Yoshioka, Koichi

doi:10.1016/s0370-2693(00)00723-1

Cited by 11 publications

(13 citation statements)

References 19 publications

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“…It is known that when a model with one flavor has a Pendelton-Ross fixed point, the corresponding A-term A as well as the sum of soft scalar masses squared also has an IR fixed point like A = −M, where M is the gaugino mass [11,12]. It is expected that our model with three flavors has a similar fixed point, and A-terms are aligned dynamically at the IR region [13].…”

Section: Introductionmentioning

confidence: 82%

Dynamical realization of democratic Yukawa matrices and alignment ofAterms

2006

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We study realization of the democratic form of Yukawa matrices by infrared fixed points. We investigate renormalization-group flows of Yukawa couplings in models with a single Yukawa matrix for three families, and up and down-sector Yukawa matrices. It is found that each model has its certain pattern of renormalization-group flows of Yukawa matrices. We apply them to the charged lepton sector and quark sector, and show that realistic results for the second and third families are obtained with natural initial conditions, e.g.We also study corresponding A-terms. The A-terms approach toward the universal form with no physical CP-violating phase. Thus, constraints due to various neutral flavor changing processes except for µ → eγ are found to be satisfied by this dynamics. In order to suppress the electric dipole moments as well as µ → eγ sufficiently, more alignment of the A-terms with some reason is required.

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Section: Introductionmentioning

confidence: 82%

Dynamical realization of democratic Yukawa matrices and alignment ofAterms

2006

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“…Renormalization Group Invariants (RGIs), which can be used to relate measurements at the electroweak scale to physics at ultra high energies provide important information about high scale physics due to the scale invariance of the quantities under concern [31,32]. Since the coupled nature of the RGEs disturbs analytical solutions it would be beneficial to know if one can construct certain invariants that give relations among the spectrum of supersymmetric particles.…”

Section: Renormalization Group Invariants In the Mssm And Nhmssm: A Cmentioning

confidence: 99%

“…For the classical MSSM invariant µ ′ → µ substitution suffices (MSSM was also mentioned in [31]). Here the powers of the Yukawa and gauge couplings follow from group-theoretic factors appearing in their RGEs.…”

Section: Renormalization Group Invariants In the Mssm And Nhmssm: A Cmentioning

confidence: 99%

Phenomenological issues in supersymmetry with nonholomorphic soft breaking

2005

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We present a through discussion of motivations for and phenomenological issues in supersymmetric models with minimal matter content and non-holomorphic softbreaking terms. Using the unification of the gauge couplings and assuming SUSY is broken with non-standard soft terms, we provide semi-analytic solutions of the RGEs for low and high choices of tanβ which can be used to study the phenomenology in detail.We also present a generic form of RGIs in mSUGRA framework which can be used to derive new relations in addition to those existing in the literature. Our results are mostly presented with respect to the conventional minimal supersymmetric model for ease of comparison.

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“…Various techniques have been developed to map soft-terms in N = 1 SUSY [41][42][43][44][45][46][47][48][49][50][51][52]. It is well known for example, that one can recover the RG flow of a Majorana gaugino mass by expressing it -2 -as a spurion contribution to the holomorphic gauge coupling [45,46,48,51] L ⊃ d 2 θ S W 2 + h.c., 2) where the physical gauge coupling and masses are functions of S + S † (and real normalisation superfields Z).…”

Section: Introductionmentioning

confidence: 99%

Mapping Dirac gaugino masses

Abel

Busbridge

2013

J. High Energ. Phys.

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We investigate the mapping of Dirac gaugino masses through regions of strong coupling, focussing on SQCD with an adjoint. These models have a well-known Kutasov duality, under which a weakly coupled electric UV description can flow to a different weakly coupled magnetic IR description. We provide evidence to show that Dirac gaugino mass terms map as lim_{mu->infty} mD/(g kappa^{1/(k+1}} = lim_{mu->0} tilde{mD}/(tilde{g} tilde{kappa}^{1/(k+1}} under such a flow, where the coupling kappa appears in the superpotential of the canonically normalised theory as W \supset kappa X^{k+1}. This combination is an RG-invariant to all orders in perturbation theory, but establishing the mapping in its entirety is not straightforward because Dirac masses are not the spurions of holomorphic couplings in the N=1 theory. To circumvent this, we first demonstrate that deforming the Kutasov theory can make it flow to an N=2 theory with parametrically small N=1 deformations. Using harmonic superspace techniques we then show that the N=1 deformations can be recovered from electric and magnetic FI-terms that break N=2 -> N=1, and also show that pure Dirac mass terms can be induced by the same mechanism. We then find that the proposed RG-invariant is indeed preserved under N=2 duality, and thence along the flow to the dual N=1 Kutasov theories. Possible phenomenological applications are discussed.Comment: 39 pages, 5 figures. Version accepted to JHE

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New RG-invariants of soft supersymmetry breaking parameters

Cited by 11 publications

References 19 publications

Dynamical realization of democratic Yukawa matrices and alignment ofAterms

Dynamical realization of democratic Yukawa matrices and alignment ofAterms

Phenomenological issues in supersymmetry with nonholomorphic soft breaking

Mapping Dirac gaugino masses

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