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Related papers: Infrared regularization for spin-1 fields

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We propose a scheme of lattice twisted-mass fermion regularization which is particularly convenient for application to isospin breaking (IB) QCD and QED calculations, based in particular on the so called RM123 approach, in which the IB…

High Energy Physics - Lattice · Physics 2021-10-04 R. Frezzotti , G. Gagliardi , V. Lubicz , F. Sanfilippo , S. Simula

We develop and discuss an infrared-finite factorization and optimized renormalization scheme for calculating exclusive processes which enables the inclusion of transverse degrees of freedom without entailing suppression of calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , W. Schroers , H. -Ch. Kim

We show the results for the scattering poles associated to the rho, f0, a0, K*, sigma and kappa resonances in meson-meson scattering. Our amplitudes are obtained from the complete one-loop meson-meson scattering amplitudes from Chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. R. Pelaez , A. Gomez Nicola , .

Dimensional regularization is incompatible with the standard covariant projection methods that are used to calculate the short-distance coefficients in inclusive heavy quarkonium production and annihilation rates. A new method is developed…

High Energy Physics - Phenomenology · Physics 2010-11-19 Eric Braaten , Yu-Qi Chen

We discuss a method for regularizing chiral gauge theories. The idea is to formulate the gauge fields on the lattice, while the fermion determinant is regularized and computed in the continuum. A simple effective action emerges which lends…

High Energy Physics - Lattice · Physics 2007-05-23 V. Bornyakov , G. Schierholz , A. Thimm

We augment the chiral Lagrangian by an isosinglet scalar and compute the one-loop radiative corrections to the pion mass and decay constant, as well as the scalar mass. The calculations are carried out for different patterns of chiral…

High Energy Physics - Phenomenology · Physics 2017-02-15 Martin Hansen , Kasper Langaeble , Francesco Sannino

We study the pion mass dependence of the rho(770) and f_0(600) masses and widths from one and two-loop unitarized Chiral Perturbation Theory. We show the consistency of one-loop calculations with lattice results for the M_rho, f_pi and the…

High Energy Physics - Phenomenology · Physics 2010-12-23 J. R. Pelaez , G. Rios

This paper discusses sparse isotropic regularization for a random field on the unit sphere $\mathbb{S}^2$ in $\mathbb{R}^{3}$, where the field is expanded in terms of a spherical harmonic basis. A key feature is that the norm used in the…

Numerical Analysis · Mathematics 2018-01-11 Quoc T. Le Gia , Ian H. Sloan , Robert S. Womersley , Yu Guang Wang

The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding…

High Energy Physics - Phenomenology · Physics 2010-04-28 J. J. Sanz-Cillero

The vector meson mass is extracted from a large sample of partially quenched, two-flavor lattice QCD simulations. For the first time, discretisation, finite-volume and partial quenching artefacts are treated in a unified framework which is…

High Energy Physics - Lattice · Physics 2010-02-17 C. R. Allton , W. Armour , D. B. Leinweber , A. W. Thomas , R. D. Young

We consider a low-energy effective field theory of vector mesons and Goldstone bosons using the complex-mass renormalization. As an application we calculate the mass and the width of the $\rho$ meson.

High Energy Physics - Phenomenology · Physics 2014-11-18 D. Djukanovic , J. Gegelia , A. Keller , S. Scherer

A model of dynamic orientation using optimized radiofrequency (RF) irradiation produced perpendicular to the holding field is developed for the spin-1 system required for tensor-polarized fixed-target experiments. The derivation applies to…

Nuclear Theory · Physics 2017-07-25 Dustin Keller

A recently proposed method for regularizing chiral gauge theories non-perturbatively is discussed in detail. The result is an effective action which can be computed from the lattice gauge field, and which is suited for numerical…

High Energy Physics - Lattice · Physics 2009-09-25 V. Bornyakov , G. Schierholz , A. Thimm

The renormalizable Kroll-Lee-Zumino field theory of pions and a neutral rho-meson is used to determine the scalar form factor of the pion in the space-like region at next-to-leading order. Perturbative calculations in this framework are…

High Energy Physics - Phenomenology · Physics 2014-03-11 C. A. Dominguez , M. Loewe , M. Lushozi

We perform a high-precision calculation of the phase shifts for $\pi$-$\pi$ scattering in the I = 1, J = 1 channel in the elastic region using elongated lattices with two mass-degenerate quark favors ($N_f = 2$). We extract the $\rho$…

High Energy Physics - Lattice · Physics 2016-08-10 Dehua Guo , Andrei Alexandru , Raquel Molina , Michael Doering

We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at…

High Energy Physics - Phenomenology · Physics 2016-08-24 Wolfgang Bietenholz

The baryon masses are examined in SU(3) chiral perturbation theory to third order using the recently proposed infrared regularization scheme. Fourth order is estimated by evaluating the dominant diagram. With this regularization the…

Nuclear Theory · Physics 2009-10-31 P. J. Ellis , K. Torikoshi

The use of the equations of motion and meson field redefinitions allows the simplification of the subleading operators required in the one-loop resonance chiral theory calculation of the pi pi vector form-factor. The study of the…

High Energy Physics - Phenomenology · Physics 2014-11-20 J. J. Sanz-Cillero

We calculate the one-photon loop radiative corrections to charged pion Compton scattering, $\pi^- \gamma \to \pi^- \gamma $. Ultraviolet and infrared divergencies are both treated in dimensional regularization. Analytical expressions for…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , J. M. Friedrich

The loop expansion is applied to a chiral effective hadronic lagrangian; with the techniques of Infrared Regularization, it is possible to separate out the short-range contributions and to write them as local products of fields that are…

Nuclear Theory · Physics 2008-11-26 Jeff McIntire , Ying Hu , Brian D. Serot