Renormalisation Invariance and the Soft $\beta$-Functions

Abstract

We demonstrate that the soft supersymmetry-breaking terms in a N=1 theory can be linked by simple renormalisation group invariant relations which are valid to all orders of perturbation theory. In the special case of finite N=1 theories, the soft terms preserve finiteness to all orders.

9 pages, tex, Uses harvmac (big)

References in corpus (1)

• The Gaugino β-Function

Cited by in corpus (70)

• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• Exploring new models in all detail with SARAH
• Flux-induced SUSY-breaking soft terms
• Supersymmetry-Breaking Loops from Analytic Continuation into Superspace
• The R-Parity Violating Minimal Supergravity Model
• FlexibleSUSY 2.0: Extensions to investigate the phenomenology of SUSY and non-SUSY models
• Fayet-Iliopoulos D-terms and anomaly mediated supersymmetry breaking
• Renormalization of the Minimal Supersymmetric Standard Model
• Generic calculation of two-body partial decay widths at the full one-loop level
• Exact Results for Supersymmetric Renormalization and the Supersymmetric Flavor Problem
• Running soft parameters in SUSY models with multiple U(1) gauge factors
• Revisiting RGEs for general gauge theories
• RG invariant solutions for the soft supersymmetry breaking parameters
• Running of Soft Parameters in Extra Space-Time Dimensions
• Infrared Behaviour of Softly Broken SQCD and Its Dual
• Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• RG-invariant Sum Rule in a Generalization of Anomaly Mediated SUSY Breaking Models
• Constraints on ultraviolet-stable fixed points in supersymmetric gauge theories
• Kaluza-Klein Thresholds and Regularization (In)dependence
• Supersymmetric type-III seesaw: lepton flavour violating decays and dark matter
• R-symmetry, Yukawa textures and anomaly mediated supersymmetry breaking
• Finite SU(N)^k Unification
• Sparticle spectrum and constraints in anomaly mediated supersymmetry breaking models
• Finite Theories and the SUSY Flavor Problem
• Renormalisation of the Fayet-Iliopoulos D-term
• Reduction of Couplings and its application in Particle Physics
• Sfermion Mass Degeneracy, Superconformal Dynamics and Supersymmetric Grand Unified Theories
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Anomaly mediated SUSY breaking model retrofitted for naturalness
• Fayet-Iliopoulos D-terms, neutrino masses and anomaly mediated supersymmetry breaking
• LHC and lepton flavour violation phenomenology of a left-right extension of the MSSM
• Super Flavorsymmetry with Multiple Higgs Doublets
• NSVZ-like scheme for the photino mass in softly broken $\mathcal{N}=1$ SQED regularized by higher derivatives
• The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories
• Exact renormalization of the photino mass in softly broken $\mathcal{N}=1$ SQED with $N_f$ flavors regularized by higher derivatives
• Reduction of Couplings in the MSSM
• Massive Ghosts in Softly Broken SUSY Gauge Theories
• Finite Unified Theories and the Higgs boson
• Renormalization Group Invariants in the MSSM and Its Extensions
• Anomaly Mediation from Unbroken Supergravity
• Induced top Yukawa coupling and suppressed Higgs mass parameters
• Yukawa Textures and Anomaly Mediated Supersymmetry Breaking
• Finite Unification: Theory and Predictions
• New RG-invariants of Soft Supersymmetry Breaking Parameters
• The LHC Higgs Boson Discovery: Implications for Finite Unified Theories
• Renormalizations in softly broken N=1 theories: Slavnov-Taylor identities
• Yukawa Hierarchy Transfer Based on Superconformal Dynamics and Geometrical Realization in String Models
• Towards 5D Grand Unification without SUSY Flavor Problem
• Finite Theories Before and After the Discovery of a Higgs Boson at the LHC
• Gauge singlet renormalisation in softly-broken supersymmetric theories
• Finiteness of the triple gauge-ghost vertices in $\mathcal{N}=1$ supersymmetric gauge theories: the two-loop verification
• Updates and New Results in Models with Reduced Couplings
• Reduction of the Parameters in MSSM
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Softly broken supersymmetric Yang-Mills theories: Renormalization and non-renormalization theorems
• Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
• Non-renormalization theorems in softly broken SQED and the soft $\beta$-functions
• $E_6$ Models in Light of Precision $M_W$ Measurements
• Finite Unified Theories and the Higgs mass prediction
• Electroweak symmetry breaking and s-spectrum in M-theory
• Flavour in $SU(5)$ Finite Grand Unified Models
• Dynamical realization of democratic Yukawa matrices and alignment of A-terms
• Duality cascade of softly broken supersymmetric theories
• Mixed gluinos and sgluons from a new SU(3) gauge group
• From Veltman's conditions to Finite Unification
• Supersymmetry breaking, R-symmetry, and conformal dynamics
• Can we distinguish SUSY breaking terms between weakly and strongly coupled heterotic string theories ?
• Considerations on supersymmetric Dark Matter beyond the MSSM