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In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , G. Passarino

While a chiral fourth generation of quarks is almost ruled out from the data on Higgs boson production and decay at the Large Hadron Collider, vector-like quarks are still a feasible option to extend the fermionic sector of the Standard…

High Energy Physics - Phenomenology · Physics 2021-05-14 Drona Vatsyayan , Anirban Kundu

We study chiral symmetry breaking in quenched strong-coupling QED$_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are…

High Energy Physics - Lattice · Physics 2008-11-26 A. G. Williams , F. T. Hawes

The problem of the gauge hierarchy is brought up in a hypercomplex scheme for a U(1) field theory; in such a scheme a compact gauge group is deformed through a \gamma-parameter that varies along a non-compact internal direction, transverse…

High Energy Physics - Theory · Physics 2016-12-15 R. Cartas-Fuentevilla , A. Escalante-Hernandez , A. Herrera-Aguilar

We review the renormalization of the electroweak sector of the standard model. The derivation also applies to the minimal supersymmetric standard model. We discuss regularization and the relation between the threshold corrections and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Damien M. Pierce

In this work we derive the version of the Equivalence Theorem that applies when the symmetry breaking sector of the Standard Model is described by a general chiral lagrangian. The demonstration is valid for renormalized fields for any value…

High Energy Physics - Phenomenology · Physics 2019-08-17 A. Dobado , J. R. Pelaez

Two-loop renormalization group equations in gauge theories with multiple U(1) groups are presented. Instead of normalizing the abelian gauge fields in canonical forms, we retain kinetic-mixing terms and treat the mixing coefficients as free…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mingxing Luo , Yong Xiao

In this letter the algebraic renormalization method, which is independent of any kind of regularization scheme, is presented for the parity-preserving QED_3 coupled to scalar matter in the broken regime, where the scalar assumes a finite…

High Energy Physics - Theory · Physics 2016-09-06 O. M. Del Cima , D. H. T. Franco , J. A. Helayël-Neto , O. Piguet

We show that the S parameter is not finite in theories of electroweak symmetry breaking in a slice of anti--de Sitter five-dimensional space, with the light fermions localized in the ultraviolet. We compute the one-loop contributions to S…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gustavo Burdman , Leandro Da Rold

We construct a model based on the electroweak gauge group $\rm SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ augmented by an $S_3$ symmetry. We assign nontrivial $S_3$ transformation properties to the quarks and consequently we need two scalar…

High Energy Physics - Phenomenology · Physics 2018-12-12 Dipankar Das , Palash B. Pal

We propose a supersymmetric hypercolor SU(3)_H gauge theory interacting strongly at the grand unification scale, in which the hyperquark condensation breaks SU(5)_GUT down to SU(3)_C x SU(2)_L without unbroken U(1)_Y at the classical level.…

High Energy Physics - Phenomenology · Physics 2009-02-19 T. Hotta , K. -I. Izawa , T. Yanagida

Nonrenormalizable quantum field theories require counterterms; and based on the hard-core interpretation of such interactions, it is initially argued, contrary to the standard view, that counterterms suggested by renormalized perturbation…

High Energy Physics - Theory · Physics 2008-11-26 John R. Klauder

Using functional techniques, we prove, to all orders of perturbation theory, that lattice vector gauge theories with Ginsparg Wilson fermions are renormalizable. For two or more massless fermions, they satisfy a flavour mixing axial vector…

High Energy Physics - Lattice · Physics 2009-10-31 T. Reisz , H. J. Rothe

We present non-perturbative renormalization constants of fermionic bilinears on the lattice in the quenched approximation at beta=6.1 using an overlap fermion action with hypercubic(HYP)-blocked links. We consider the effects of the exact…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas DeGrand , Zhaofeng Liu

A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Heitger

We report on an explicit on-shell framework to renormalize the fermion-flavour mixing matrices in the Standard Model and its extensions, at one-loop level. It is based on a novel procedure to separate the external-leg mixing corrections…

High Energy Physics - Phenomenology · Physics 2010-01-27 Andrea A. Almasy

We present the first unquenched, continuum limit, lattice QCD results for the matrix elements of the operators describing neutral kaon oscillations in extensions of the Standard Model. Owing to the accuracy of our calculation on \Delta S=2…

Commensurate scale relations relate observables to observables and thus are independent of theoretical conventions, such as the choice of intermediate renormalization scheme. The physical quantities are related at commensurate scales which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky , Hung Jung Lu

The low-energy manifestations of a minimal extension of the electroweak standard model based on the quark-lepton symmetry $SU(4)_V \otimes SU(2)_L \otimes G_R$ of the Pati-Salam type are analyzed. Given this symmetry the third type of…

High Energy Physics - Phenomenology · Physics 2012-10-16 A. V. Kuznetsov , N. V. Mikheev , A. V. Serghienko

Resummation, ie. reorganization of perturbative series, can result in an inconsistent perturbation theory, unless the counterterms are reorganized in an appropriate way. In this paper two methods are presented for resummation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Jakovac , Zs. Szep
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