Renormalization of mixing angles

Abstract

We discuss the renormalization of mixing angles for theories with extended scalar sectors. Motivated by shortcomings of existing schemes for mixing angles, we review existing renormalization schemes and introduce new ones based on on-shell conditions or symmetry requirements such as rigid or background-field gauge invariance. Considering in particular the renormalization of the mixing angles in the Two-Higgs-Doublet Model and the Higgs-Singlet Extension of the Standard Model, we compare electroweak corrections within these models for a selection of renormalization schemes. As specific examples, we present next-to-leading-order results on the four-fermion decays of heavy and light CP-even Higgs bosons, $H_1/H_2\to WW/ZZ\to 4f$, and on electroweak Higgs-boson production processes, i.e. Higgs-strahlung and vector-boson fusion. We find that our new proposals for on-shell and symmetry-based renormalization conditions are well-behaved for the considered benchmark scenarios in both models.

arXiv comment62 pages, 16 pdf figures, pdflatex, some typos fixed in tables 9 and 10 and, in particular, the number of the defining equation for beta in the BFMS in table 2

References in corpus (54)

• 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
• The anti-k_t jet clustering algorithm
• Theory and phenomenology of two-Higgs-doublet models
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC
• Strong and electroweak corrections to the production of Higgs+2jets via weak interactions at the LHC
• A Minimal Spontaneously Broken Hidden Sector and its Impact on Higgs Boson Physics at the Large Hadron Collider
• Precise predictions for the Higgs-boson decay H -> W W/Z Z -> 4 leptons
• Higgs-field Portal into Hidden Sectors
• Application of the Background-Field Method to the electroweak Standard Model
• Search for the standard model Higgs boson produced in association with a W or a Z boson and decaying to bottom quarks
• Higgs coupling constants as a probe of new physics
• Complete On-Shell Renormalization Scheme for the Minimal Supersymmetric Higgs Sector
• RECOLA: REcursive Computation of One-Loop Amplitudes
• Radiative corrections to the semileptonic and hadronic Higgs-boson decays H -> W W/Z Z -> 4 fermions
• The one-loop renormalization of the MSSM Higgs sector and its application to the neutral scalar Higgs masses
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• The complex-mass scheme for perturbative calculations with unstable particles
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with HAWK
• HAWK 2.0: A Monte Carlo program for Higgs production in vector-boson fusion and Higgs strahlung at hadron colliders
• The Nielsen Identities of the SM and the definition of mass
• The Higgs Singlet extension parameter space in the light of the LHC discovery
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• Fingerprinting the extended Higgs sector using one-loop corrected Higgs boson couplings and future precision measurements
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Narrow Trans-TeV Higgs Bosons and $H\to hh$ Decays: Two LHC Search Paths for a Hidden Sector Higgs Boson
• Radiative corrections to the Higgs boson couplings in the model with an additional real singlet scalar field
• Gauge dependence and renormalization of $\tan \beta$ in the MSSM
• Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance
• Gauge dependence of the on-shell renormalized mixing matrices
• Automatised full one-loop renormalisation of the MSSM II: The chargino-neutralino sector, the sfermion sector and some applications
• Fermion Mixing Renormalization and Gauge Invariance
• Heavy to light Higgs boson decays at NLO in the Singlet Extension of the Standard Model
• NLO electroweak corrections in extended Higgs Sectors with RECOLA2
• Gauge-independent $\overline{MS}$ renormalization in the 2HDM
• Higgs production and decay with a fourth Standard-Model-like fermion generation
• Radiative corrections to the Yukawa coupling constants in two Higgs doublet models
• Two-Loop Renormalization in the Standard Model Part I: Prolegomena
• Renormalization schemes for the Two-Higgs-Doublet Model and applications to h -> WW/ZZ -> 4fermions
• Gauge and Scheme Dependence of Mixing Matrix Renormalization
• Precision calculations for h->WW/ZZ->4 fermions in the Two-Higgs-Doublet Model with PROPHECY4F
• Neutral Higgs-pair production at Linear Colliders within the general 2HDM: quantum effects and triple Higgs boson self-interactions
• On-Mass-Shell Renormalization of Fermion Mixing Matrices
• Simple On-Shell Renormalization Framework for the Cabibbo-Kobayashi-Maskawa Matrix
• Electroweak pinch technique to all orders
• A Novel Formulation of Cabibbo-Kobayashi-Maskawa Matrix Renormalization
• Physical renormalization condition for the quark-mixing matrix
• Precision calculations for $h\to WW/ZZ\to 4$ fermions in a Singlet Extension of the Standard Model with Prophecy4f
• Gauge dependence and renormalization of tan(beta)
• The Renormalization Group Evolution of the CKM Matrix
• Green functions from a gauge-invariant effective action for the electroweak Standard Model

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• Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4$\ell$ decay channel at $\sqrt{s}$ = 13 TeV
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• ewN2HDECAY - A program for the Calculation of Electroweak One-Loop Corrections to Higgs Decays in the Next-to-Minimal Two-Higgs-Doublet Model Including State-of-the-Art QCD Corrections
• Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 2. extended Higgs sectors
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• Full one-loop radiative corrections to $e^{+}{e}^{-}\to H^{+}{H}^{-}$ in the inert doublet model
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