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Hadronic matrix elements evaluated on the lattice can be converted to a continuum scheme such as $\MSbar$ using intermediate non-perturbative renormalisation schemes. Discretisation effects on the lattice and convergence of the continuum…

High Energy Physics - Lattice · Physics 2023-08-02 N Garron , C Cahill , M Gorbahn , JA Gracey , PEL Rakow

I investigate the role of nonrenormalizable terms, up to order N=8, in a superstring derived standard--like model. I argue that nonrenormalizable terms restrict the gauge symmetry, at the Planck scale, to be $SU(3)\times SU(2)\times…

High Energy Physics - Theory · Physics 2009-10-22 Alon E. Faraggi

We present on shell-scheme for the 2PI formalism with a particular focus on the renormalized equations of motion. We first revisit the so-called Hartree approximation where we give the counterterms for both the broken and unbroken phase.…

High Energy Physics - Phenomenology · Physics 2023-07-28 A. Banik , H. Hinrichsen , W. Porod

Renormalization constants (RCs) of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations are calculated by using the RI/MOM and RI/SMOM schemes. The scale independent RC for the axial vector current is computed…

High Energy Physics - Lattice · Physics 2018-05-09 Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

We extend the position-space renormalization procedure, where renormalization factors are calculated from Green's functions in position space, by introducing a technique to take the average of Green's functions over spheres. In addition to…

High Energy Physics - Lattice · Physics 2019-02-06 Masaaki Tomii , Norman H. Christ

We compute the renormalised four-fermion operator $O^{\Delta S=2}$ using a non-perturbative method recently introduced for determining the renormalisation constants of generic lattice composite operators. Because of the presence of the…

High Energy Physics - Lattice · Physics 2009-10-09 A. Donini , G. Martinelli , C. T. Sachrajda , M. Talevi , A. Vladikas

In this paper we present an improved RI-type prescription appropriate for the non-perturbative renormalization of gauge invariant nonlocal operators. In this prescription, the non-perturbative vertex function is improved by subtracting…

High Energy Physics - Lattice · Physics 2023-01-18 Martha Constantinou , Haralambos Panagopoulos

We extend the Rome-Southampton regularization independent momentum-subtraction renormalization scheme(RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green's functions with the insertion…

High Energy Physics - Phenomenology · Physics 2010-05-12 C. Sturm , Y. Aoki , N. H. Christ , T. Izubuchi , C. T. C. Sachrajda , A. Soni

We consider mass-deformed conformal gauge theories (mCGT) and investigate the scaling behaviour of hadronic observables as a function of the fermion mass. Applying renormalization group arguments directly to matrix elements, we find m_H ~…

High Energy Physics - Phenomenology · Physics 2011-06-13 Luigi Del Debbio , Roman Zwicky

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

In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of quantum field theory. We construct the…

Mathematical Physics · Physics 2026-03-10 Marco Falconi , Benjamin Hinrichs , Javier Valentín Martín

We present the current status of our computation of quark bilinear renormalization constants for Wilson fermions and Symanzik improved gauge action. Computations are performed in Numerical Stochastic Perturbation Theory. Volumes range from…

High Energy Physics - Lattice · Physics 2010-02-03 M. Brambilla , F. Di Renzo , L. Scorzato

We revisit the renormalization prescription for the quark-meson model in an extended mean-field approximation, where vacuum quark fluctuations are included. At a given cutoff scale the model parameters are fixed by fitting vacuum…

High Energy Physics - Phenomenology · Physics 2016-08-17 Stefano Carignano , Michael Buballa , Wael Elkamhawy

We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of $\Delta{B}=2$ parity-odd four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the static…

High Energy Physics - Lattice · Physics 2008-11-26 Filippo Palombi , Mauro Papinutto , Carlos Pena , Hartmut Wittig

The renormalizable coloron model constitutes the minimal extension of the standard model (SM) color sector to $SU(3)_{1c} \times SU(3)_{2c}$, with the spontaneous symmetry breaking of the extended gauge group to the diagonal QCD facilitated…

High Energy Physics - Phenomenology · Physics 2015-10-28 Arsham Farzinnia

It is shown in the framework of the N-component scalar model that the saddle point structure may generate non-trivial renormalization group flow. The spinodal phase separation can be described in this manner and a flat action is found as an…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Janos Polonyi

We renormalize the Gross-Neveu-Yukawa model with an $O(N)$ symmetry to $\mathcal{O}(\epsilon^5)$ in $d=4-\epsilon$ dimensions and determine the anomalous dimensions of the fermion and scalar fields, $\beta$-functions as well as the scalar…

High Energy Physics - Theory · Physics 2025-07-31 J. A. Gracey , A. Maier , P. Marquard , Y. Schröder

We consider a one-parameter family of piecewise isometries of a rhombus. The rotational component is fixed, and its coefficients belong to the quadratic number field $K=\mathbb{Q}(\sqrt{2})$. The translations depend on a parameter $s$ which…

Dynamical Systems · Mathematics 2014-06-27 John H. Lowenstein , Franco Vivaldi

We analyze the large $N$ spectrum of chiral primary operators of three dimensional fixed points of the renormalization group. Using the space-time picture of the fixed points and the correspondence between anti-de Sitter compactifications…

High Energy Physics - Theory · Physics 2014-11-18 Rami Entin , Jaume Gomis

We consider |\Delta F| = 1 (F = S,C or B) nonleptonic effective hamiltonian in a renormalization scheme which allows to consistently use fully anticommuting gamma_5 at any number of loops, but at the leading order in the Fermi coupling G_F.…

High Energy Physics - Phenomenology · Physics 2011-01-27 Konstantin Chetyrkin , Mikolaj Misiak , Manfred Muenz