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$S$-matrix elements are invariant under field redefinitions of the Lagrangian. They are determined by geometric quantities such as the curvature of the field-space manifold of scalar and gauge fields. We present a formalism where scalar and…

High Energy Physics - Phenomenology · Physics 2023-02-22 Andreas Helset , Elizabeth E. Jenkins , Aneesh V. Manohar

We revisit the operator mixing in massless QCD-like theories. In particular, we address the problem of determining under which conditions a renormalization scheme exists where the renormalized mixing matrix in the coordinate representation,…

High Energy Physics - Theory · Physics 2021-08-27 Marco Bochicchio

Quantum field theories containing fields with the same quantum numbers allow for mixed kinetic terms in the Lagrangian, leading to off-diagonal elements in the tree-level two-point function. After removing the mixing by a field rotation,…

High Energy Physics - Phenomenology · Physics 2025-12-18 Felix Forner , Felix Tellander

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

High Energy Physics - Theory · Physics 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The renormalization of general theories with inter-family mixing of Dirac and/or Majorana fermions is studied at the one-loop electroweak order. The phenomenological significance of the mixing-matrix renormalization is discussed, within the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd A. Kniehl , Apostolos Pilaftsis

When considering quantum field theories on non-commutative spaces one inevitably encounters the infamous UV/IR mixing problem. So far, only very few renormalizable models exist and all of them describe non-commutative scalar field theories…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Erwin Kronberger , Arnold Rofner , Manfred Schweda , Rene I. P. Sedmik , Michael Wohlgenannt

In this paper we summarize the minimal supersymmetric standard model as well as the renormalization group equations of its parameters. We proceed to examine the feasability of the model when the breaking of supersymmetry is parametrized by…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. J. Castano , E. J. Piard , P. Ramond

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…

High Energy Physics - Phenomenology · Physics 2019-11-19 Ansgar Denner , Stefan Dittmaier , Jean-Nicolas Lang

We discuss extensions of the Standard Model through extending the electroweak gauge symmetry. An extended electroweak symmetry requires a list of extra fermionic and scalar states. The former is necessary to maintain cancellation of gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 Otto C. W. Kong

Assigning U(1) charges to the quarks of the standard model, and allowing one extra scalar doublet with m^2 > 0, the correct pattern of the up and down quark mass matrices is obtained, together with their charged-current mixing matrix.

High Energy Physics - Phenomenology · Physics 2014-11-17 Ernest Ma

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

Since the SU(n) gauge theory with massive gauge bosons has been proven to be renormalisable we reinvestigate the renormalisability of the SU$_L$(2) $\times$ U$_Y$(1) electroweak theory with massive W Z bosons. We expound that with the…

High Energy Physics - Theory · Physics 2016-09-06 Ze-sen Yang , Xianhui Li , Zhinig Zhou , Yushu Zhong

In this talk we discuss the phenomenology of models with replicated electroweak gauge symmetries, based on a framework with the gauge structure [SU(2) or U(1)] x U(1) x SU(2) x SU(2).

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Sekhar Chivukula , Hong-Jian He , Joseph Howard , Elizabeth H. Simmons

Within the standard electroweak model we point out that the $3\times 3$ matrix of quark mixing is characterized by three universal (rephasing-invariant) quantities: one of them for $CP$ violation and the other two for off-diagonal…

High Energy Physics - Phenomenology · Physics 2008-02-03 Zhi-zhong Xing

The renormalization issue of the reparameterization invariance in heavy quark effective theory and NRQCD is investigated. I argue that the renormalization of the transformation of the heavy quark field under the variation of the velocity…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yu-Qi Chen

The renormalization of vacuum expectation value parameters, such as $v$ in the Standard Model (SM), is an important ingredient in electroweak renormalization, where this issue is connected to the treatment of tadpoles. Tadpole counterterms…

High Energy Physics - Phenomenology · Physics 2022-06-08 Stefan Dittmaier , Heidi Rzehak

We find the renormalisation coefficients of the quark field and the flavour non-singlet fermion bilinear operators for the domain wall fermion action, in the regularisation independent (RI) renormalisation scheme. Our results are from a…

High Energy Physics - Lattice · Physics 2009-11-07 T. Blum , N. Christ , C. Cristian , C. Dawson , G. Fleming , G. Liu , R. Mawhinney , A. Soni , P. Vranas , M. Wingate , L. Wu , Y. Zhestkov

The system of N scalar particles with Grassmann-valued color charges plus the color SU(3) Yang-Mills field is reformulated on spacelike hypersurfaces. The Dirac observables are found and the physical invariant mass of the system in the…

High Energy Physics - Theory · Physics 2014-11-18 David Alba , Luca Lusanna

We give the renormalization of the standard model of electroweak interactions to all orders of perturbation theory by using the method of algebraic renormalization, which is based on general properties of renormalized perturbation theory…

High Energy Physics - Theory · Physics 2011-07-19 Elisabeth Kraus

The Very Special Relativity Electroweak Standard Model (VSR EW SM) is a theory with $SU(2)_L \times U(1)_R$ symmetry, with the same number of leptons and gauge fields as in the usual Weinberg-Salam (WS) model. No new particles are…

High Energy Physics - Phenomenology · Physics 2015-06-11 Jorge Alfaro , Pablo González , Ricardo Ávila