Reduction of Couplings and its application in Particle Physics

Abstract

The idea of reduction of couplings in renormalizable theories will be presented and then will be applied in Particle Physics models. Reduced couplings appeared as functions of a primary one, compatible with the renormalization group equation and thus solutions of a specific set of ordinary differential equations. If these functions have the form of power series the respective theories resemble standard renormalizable ones and thus widen considerably the area covered until then by symmetries as a tool for constraining the number of couplings consistently. Still on the more abstract level reducing couplings enabled one to construct theories with beta-functions vanishing to all orders of perturbation theory. Reduction of couplings became physics-wise truly interesting and phenomenologically important when applied to the standard model and its possible extensions. In particular in the context of supersymmetric theories it became the most powerful tool known today once it was learned how to apply it also to couplings having dimension of mass and to mass parameters. Technically this all relies on the basic property that reducing couplings is a renormalization scheme independent procedure. Predictions of top and Higgs mass prior to their experimental finding highlight the fundamental physical significance of this notion.

arXiv commentTo be published in Physics Reports. The following published were used for this report: Nucl.Phys.Proc.Suppl.56B(1997)no.3,281, Symmetry 10(2018)no.3,62, Acta Phys.Polon. B27 (1997)3911, Phys.Lett.B728(2014)51, Phys.Lett.B389 (1996)523, Nucl.Phys.B927(2018)319, Fortsch.Phys.61(2013)no.11 969, Ann.U.Craiova Phys.21, JHEP 1808(2018)150, JHEP1808(2018) 150, arXiv:1411.7155, PoS CORFU2016(2017)041

References in corpus (99)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Large N Limit of Superconformal Field Theories and Supergravity
• Out Of This World Supersymmetry Breaking
• Minimal Flavour Violation: an effective field theory approach
• Gaugino Mass without Singlets
• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• The Muon g-2
• Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC $pp$ collision data at $\sqrt{s}=$ 7 and 8 TeV
• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Towards High-Precision Predictions for the MSSM Higgs Sector
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• 4d Conformal Field Theories and Strings on Orbifolds
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
• Effective lagrangian for the tbH^+ interaction in the MSSM and charged Higgs phenomenology
• B_{s,d} -> l+ l- in the Standard Model with Reduced Theoretical Uncertainty
• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• Phenomenological consequences of supersymmetry with anomaly-induced masses
• Interpreting the LHC Higgs Search Results in the MSSM
• B -> X_s gamma in supersymmetry: large contributions beyond the leading order
• Patterns of New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ transitions in the light of recent data
• b -> s γand supersymmetry with large tanβ
• Muon g-2: Review of Theory and Experiment
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• Bounds on R-parity Violating Couplings at the Weak Scale and at the GUT Scale
• Three-Loop Superfiniteness of N=8 Supergravity
• The Muon Magnetic Moment and Supersymmetry
• Sparticle Masses from the Superconformal Anomaly
• Two-loop renormalization group equations for soft SUSY breaking scalar interactions: supergraph method
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• Hints of large tan(beta) in flavour physics
• Next-to-Leading QCD Corrections to B\to X_s γin Supersymmetry
• rho^0-gamma mixing in the neutral channel pion form factor |F_pi|^2 and its role in comparing e^+ e^- with tau spectral functions
• Relations between ΔM_{s,d} and B_{s,d}\to μ\barμin Models with Minimal Flavour Violation
• Soft supersymmetry breaking and finiteness
• Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e+e- -> pi+pi- cross section data from BABAR
• Is N = 8 Supergravity Ultraviolet Finite?
• MSSM Higgs Physics at Higher Orders
• Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass
• An Update of the HLS Estimate of the Muon g-2
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations
• Heavy Thresholds, Slepton Masses and the $\mu$ Term in Anomaly Mediated Supersymmetry Breaking
• Solar Neutrino Masses and Mixing from Bilinear R-Parity Broken Supersymmetry: Analytical versus Numerical Results
• Ultraviolet properties of Maximal Supergravity
• Some issues in soft SUSY-breaking terms from dilaton/moduli sectors
• Minimal Supergravity with R-Parity Breaking
• epsilon'/epsilon and Rare K and B Decays in the MSSM
• Realistic Anomaly-mediated Supersymmetry Breaking
• MSSM Interpretations of the LHC Discovery: Light or Heavy Higgs?
• The Gaugino β-Function
• Minimal Flavour Violation and Beyond
• Exact Results for Soft Supersymmetry Breaking Parameters in Supersymmetric Gauge Theories
• Electroweak Corrections to $B_{s,d}\to {\ell }^{+}{\ell }^{-}$
• GUT effects in the soft supersymmetry breaking terms
• Renormalisation Invariance and the Soft $\beta$-Functions
• Three-loop QCD corrections to B_s -> mu^+ mu^-
• Flavour physics at large tan(beta) with a Bino-like LSP
• Infrared Fixed Point Solution for the Top Quark Mass and Unification of Couplings in the MSSM
• Little Miracles of Supersymmetric Evolution of Gauge Couplings
• Implications of Improved Higgs Mass Calculations for Supersymmetric Models
• Further all-loop results in softly-broken supersymmetric gauge theories
• Update of g-2 of the muon and Delta alpha
• Finite Unified Models
• The Light and Heavy Higgs Interpretation of the MSSM
• Renormalisation-group invariance and soft supersymmetry-breaking
• Constraints on Finite Soft Supersymmetry-Breaking Terms
• Constraints on Finite Soft Supersymmetry Breaking Terms
• RG invariant solutions for the soft supersymmetry breaking parameters
• Perturbative Unification of Soft Supersymmetry--Breaking Terms
• Supersymmetric Unification without Proton Decay
• Infrared Behaviour of Softly Broken SQCD and Its Dual
• Gauge-Yukawa Unification in Asymptotically Non-free Theories
• Orbifolds, fuzzy spheres and chiral fermions
• Soft Scalar-Mass Sum Rule in Gauge-Yukawa Unified Models and Its Superstring Interpretation
• All-order Finiteness in N=1 SYM Theories: Criteria and Applications
• Finiteness of Soft Terms in Finite N=1 SUSY Gauge Theories
• Finite Grand Unified Theories and the Quark Mixing Matrix
• Exploring Softly Broken SUSY Theories via Grassmannian Taylor Expansion
• Testing Gauge-Yukawa-Unified Models By $M_t$
• MSSM from SUSY Trinification
• Softly Broken Finite Supersymmetric Grand Unified Theory
• Confronting Finite Unified Theories with Low-Energy Phenomenology
• Finite SU(N)^k Unification
• Gauge-Yukawa Unification in $SO(10)$ SUSY GUTs
• Reduction of N=1, E_8 SYM over SU(3)/U(1) x U(1) x Z_3 and its four-dimensional effective action
• On UV Finiteness of the Four Loop N=8 Supergravity
• Reduction of Couplings in the MSSM
• Anomaly Mediation, Fayet-Iliopoulos D-terms and precision sparticle spectra
• Finite Theories after the discovery of a Higgs-like boson at the LHC
• Finite Unified Theories and the Higgs boson
• Finite Theories Before and After the Discovery of a Higgs Boson at the LHC
• Reduction of the Parameters in MSSM

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• The NSVZ relations for $\mathcal{N}=1$ supersymmetric theories with multiple gauge couplings
• Three-loop $\beta$-functions and two-loop anomalous dimensions for MSSM regularized by higher covariant derivatives in an arbitrary supersymmetric subtraction scheme
• Exact $\beta$-functions for $\mathcal{N}=1$ supersymmetric theories finite in the lowest loops
• Renormalizable Extension of the Abelian Higgs-Kibble Model with a dimension 6 operator
• Intertwining noncommutativity with gravity and particle physics
• 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
• Probing Unified Theories with Reduced Couplings at Future Hadron Colliders
• Dynamically massive linear covariant gauges: setup and first results
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Flavour in $SU(5)$ Finite Grand Unified Models
• Fate of the scalar quartic couplings in the inert models
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• A condition for the reduction of couplings in the $P=\frac{1}{3}Q$ supersymmetric theories