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We present a novel strategy to renormalize lattice operators in QCD+QED, including first order QED corrections to the non-perturbative evaluation of QCD renormalization constants. Our procedure takes systematically into account the mixed…

High Energy Physics - Lattice · Physics 2019-11-05 M. Di Carlo , G. Martinelli , D. Giusti , V. Lubicz , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

A parameter free, model independent analysis of quark mass matrices is carried out. We find a representation in terms of a diagonal mass matrix for the down (up) quarks and a suitable matrix for the up (down) quarks, such that the mass…

High Energy Physics - Phenomenology · Physics 2011-02-01 D. Falcone , O. Pisanti , L. Rosa

We point out that the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix $V_{\rm CKM}$ and the Maki-Nakagawa-Sakata (MNS) lepton mixing matrix $V_{\rm MNS}$ can naturally be correlated in a class of seesaw models with grand unification,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-zhong Xing

Extending the Standard Model (SM) with three right-handed neutrinos, the type-I seesaw model serves as the simplest and most natural scenario to successfully explain both tiny neutrino masses and the baryon number asymmetry in the Universe.…

High Energy Physics - Phenomenology · Physics 2026-01-06 Jihong Huang , Shun Zhou

We apply the subtracted kernel method (SKM), a renormalization approach based on recursive multiple subtractions performed in the kernel of the scattering equation, to the chiral nucleon-nucleon (NN) interactions up to…

Nuclear Theory · Physics 2015-06-03 Sérgio Szpigel , Varese S. Timóteo

This thesis presents a comprehensive study of the renormalisation of chiral gauge theories in dimensional regularisation (DReg) at the multi-loop level. We employ the mathematically consistent Breitenlohner-Maison/`t~Hooft-Veltman (BMHV)…

High Energy Physics - Phenomenology · Physics 2026-03-06 Matthias Weißwange

We develop a renormalization method for calculating the electronic structure of single and double quantum dots under intense ac fields. The nanostructures are emulated by lattice models with a clear continuum limit of the effective-mass and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. A. Schulz , P. H. Rivera , Nelson Studart

We describe a calculation of the on-shell renormalization factors in QCD and QED at the three loop level. Explicit results for the fermion mass renormalization factor Zm and the on-shell fermion wave function renormalization constant Z2 are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kirill Melnikov , Timo van Ritbergen

We show that gauge-independent terms in the one-loop and multi-loops $\beta$-functions of the Standard Model can be exactly computed from the Wetterich functional renormalization of a matrix model. Our framework is associated to the finite…

High Energy Physics - Theory · Physics 2021-01-08 Elliott Gesteau

We derive the two-loop evolution equations for the Cabibbo-Kobayashi-Maskawa matrix. We show that to leading order in the mass and CKM hierarchies the scaling of the mixings $|V_{ub}|^2$, $|V_{cb}|^2$, $|V_{td}|^2$, $|V_{ts}|^2$ and of the…

High Energy Physics - Phenomenology · Physics 2009-09-15 V. Barger , M. S. Berger , P. Ohmann

We present a reanalysis of the allowed region in the $\rho - \eta \,$ plane of the CKM matrix, which follows from our present knowledge of the theoretical and experimental parameters associated with quark mixing and CP violation. Besides…

High Energy Physics - Phenomenology · Physics 2010-11-01 R. D. Peccei , K. Wang

We propose a new and simple method for determining the renormalized quark masses from lattice simulations. Renormalized quark masses are an important input to many phenomenological applications, including searching and modeling physics…

High Energy Physics - Lattice · Physics 2026-03-31 Matthew Black , Robert V. Harlander , Anna Hasenfratz , Antonio Rago , Oliver Witzel

We present a new method for regularizing chiral theories on the lattice. The arbitrariness in the regularization is used in order to decouple massless replica fermions. A continuum limit with only one fermion is obtained in perturbation…

High Energy Physics - Lattice · Physics 2009-10-22 J. L. Alonso , Ph. Boucaud , J. L. Cortes , F. Lesmes , E. Rivas

We develop for the CKM and PMNS matrices a new representation with special properties. It is obtained by splitting each of these matrices into two rotations by the angle ${\sim}2\pi/3$ and a universal diagonal matrix with elements, which…

High Energy Physics - Phenomenology · Physics 2024-01-31 Piotr Kielanowski , S. Rebeca Juárez Wysozka , Liliana Vázquez Mercado

We calculate the region of the MSSM parameter space (i.e. $M_{1/2}$, $m_{0}$, $\mu$, \ldots) compatible with a correct electroweak breaking and a realistic top-quark mass. To do so we have included {\em all} the one-loop corrections to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. de Carlos , J. A. Casas

The mass of the lightest CP-even Higgs boson of the minimal supersymmetric extension of the Standard Model (MSSM) has previously been computed including O(alpha alpha_s) two-loop contributions by an on-shell diagrammatic method, while…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , H. E. Haber , S. Heinemeyer , W. Hollik , C. E. M. Wagner , G. Weiglein

Chiral perturbation theory (ChPT) predicted scaling of the pion,~kaon decay constants $f_{\pi}, f_{K} $ and $M_{\eta}^2 = m_{\eta}^2 + m_{\eta^{\prime}}^2 $ has been used in the renormalized $2+1$ flavor quark-meson (RQM) model,~to find a…

High Energy Physics - Phenomenology · Physics 2024-10-15 Vivek Kumar Tiwari

We point out that testing the equality of the Cabibbo angle as extracted from $\Gamma(K\rightarrow \pi l\nu)$, the ratio $\Gamma(K\rightarrow l\nu)/\Gamma(\pi\rightarrow l\nu)$ and nuclear $\beta$ decays is not identical to a test of first…

High Energy Physics - Phenomenology · Physics 2020-08-26 Yuval Grossman , Emilie Passemar , Stefan Schacht

The renormalization of the Minimal Supersymmetric Standard Model of electroweak interactions is presented to all orders of perturbation theory using the algebraic method. Special attention is directed to the issues of soft supersymmetry…

High Energy Physics - Phenomenology · Physics 2010-04-05 Wolfgang Hollik , Elisabeth Kraus , Markus Roth , Christian Rupp , Klaus Sibold , Dominik Stöckinger

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