arXiv subjects

P. Faccioli

Publications and source records attributed to P. Faccioli.

70 records · Page 4Linked to original sources

arXiv2004

Instanton Contribution to the Electro-Magnetic Form Factors of the Nucleon

We study the electro-magnetic form factors of the nucleon, from small to large momentum transfer, in the context of the Instanton Liquid Model (ILM). As a first step, we analyze the role of single-instanton effects, and show that they dominate the form factors at large momentum transfer. Then, we go beyond the single-instanton approximation and perform a calculation to all order in the 't Hooft interaction. We find that the ILM is in good agreement with the available experimental data. Based on these results, we argue that instantons provide a microscopic mechanism that explains the delay of the onset of the asymptotic perturbative regime, in the electro-magnetic form factors.

hep-ph↗

arXiv2003

Instanton contribution to the pion and proton formfactors at Q^2 greater than 1 GeV^2

Studying the instanton-induced contributions to various hard exclusive reactions provides physical insight into the transition from the non-perturbative to the perturbative regime of QCD. To this end, we study the leading-instanton contribution to the electro-magnetic and transition formfactors, using an effective theory of the Instanton Liquid Model. We report predictions for the space-like electro-magnetic formfactor of the pion, as well as recent results for the Dirac formfactor of the proton.

hep-ph↗

arXiv2003

The CKM Matrix and the Unitarity Triangle

This report contains the results of the Workshop on the CKM Unitarity Triangle, held at CERN on 13-16 February 2002 to study the determination of the CKM matrix from the available data of K, D, and B physics. This is a coherent document with chapters covering the determination of CKM elements from tree level decays and K and B meson mixing and the global fits of the unitarity triangle parameters. The impact of future measurements is also discussed.

hep-ph↗

arXiv2003

Linking Chiral and Topological Aspects of the Quark-Quark Interaction, in QCD

We present the results of a recent investigation of the short-distance structure of non-perturbative interaction between light quarks. We analyze the connection between topology and the dynamics responsible for the spontaneous breaking of chiral symmetry. By measuring some appropriate correlation functions on the lattice, we provide compelling evidence for instanton-induced dynamics.

hep-ph↗

arXiv2003

Studying the role of the 't Hooft interaction in QCD, by means of lattice simulations

We report on a recent investigation on the dynamics of light quarks, at intermediate and low energy. By measuring some appropriate correlation functions on the lattice, it is possible to probe the Dirac and flavor structure of the non-perturbative quark-quark interaction and look directly for signatures of the 't Hooft Lagrangian. Results obtained with chiral fermions strongly support the instanton picture and the phenomenological parameters of the Instanton Liquid Model

hep-lat↗

arXiv2003

A Systematic Study of the Chirality-Mixing Interactions in QCD

We present a study of the QCD interactions which do not conserve the chirality of quarks. These non-perturbative forces are responsible for the violation of the U_A(1) charge conservation and for the breaking of chiral symmetry. From a systematic analysis we argue that the leading dynamical sources chirality flips are the interactions mediated by topological vacuum field fluctuations. We study in detail the contribution of instantons and derive a simple model-independent semi-classical prediction. This result can be used to check on the lattice if instantons are the dynamical mechanism responsible both for chiral symmetry breaking and for the anomalous violation of the U_A(1) charge conservation.

hep-ph↗

arXiv2002

Instanton Contribution to the Proton and Neutron Electric Form Factors

We study the instanton contribution to the proton and neutron electric form factors. Using the single instanton approximation, we perform the calculations in a mixed time-momentum representation in order to obtain the form factors directly in momentum space. We find good agreement with the experimentally measured electric form factor of the proton. For the neutron, our result falls short of the experimental data. We argue that this discrepancy is due to the fact that we neglect the contribution of the sea quarks. We compare to lattice calculations and a relativistic version of the quark-diquark model.

hep-ph↗

arXiv2002

Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2

We study the effects of instantons on the charged pion electro-magnetic formfactor at intermediate momenta. In the Single Instanton Approximation (SIA), we predict the pion formfactor in the kinematic region Q^2=2-15 GeV^2. By developing the calculation in a mixed time-momentum representation, it is possible to maximally reduce the model dependence and to calculate the formfactor directly. We find the intriguing result that the SIA calculation coincides with the vector dominance monopole form, up to surprisingly high momentum transfer Q^2~10 GeV^2. This suggests that vector dominance for the pion holds beyond low energy nuclear physics.

hep-ph↗

arXiv2002

Bayesian analysis of the constraints on gamma from B --> K pi rates and CP asymmetries in the flavour-SU(3) approach

The relation between the branching ratios and direct CP asymmetries of B --> K pi decays and the angle gamma of the CKM unitarity triangle is studied numerically in the general framework of the SU(3) approach, with minimal assumptions about the parameters not fixed by flavour-symmetry arguments. Experimental and theoretical uncertainties are subjected to a statistical treatment according to the Bayesian method. In this context, the experimental limits recently obtained by CLEO, BaBar and Belle for the direct CP asymmetries are translated into the bound |gamma - 90 deg| > 21 deg at the 95% C.L.. A detailed analysis is carried out to evaluate the conditions under which measurements of the CP averaged branching ratios may place a significant constraint on gamma. Predictions for the ratios of charged (R_c) and neutral (R_n) B --> K pi decays are also presented.

hep-ph↗

arXiv2001

Proton Electro-Magnetic Form-Factors in the Instanton Liquid Model

We report the first non-perturbative calculation of proton electro-magnetic form-factors in the Random Instanton Liquid Model (RILM) and in the Interacting Instanton Liquid Model (IILM). By calculating the ratio of appropriate three-point to two-point functions, we divide out the coupling constants and compare our results directly to some integral of the form-factors. Using various parameterizations of the electric form-factor $G_E(Q^2)$ at large $Q^2>3.5 GeV^2$, where it is not yet measured, we compare those with expected theoretical dependence. We find from this comparison that some distributions of charge are clearly excluded (e.g. the same as of the magnetic moment, $μG_E/G_M=1$, as well as the opposite scenario in which $μG_E/G_M$ rapidly approach zero), restricting possible behavior of the form-factor to rather narrow band. Furthermore, we found that our calculation of the nucleon form-factors is dominated by a configuration in which two out of three quarks interact with a $single$-instanton, in spite of the fact that the evaluated three-point function has rather large distances ($\sim 1.2 fm$) between points. We also estimate the size of the scalar di-quark and found it to be very small, comparable to the typical instanton size.

hep-ph↗

arXiv2001

Systematic Study of the Single Instanton Approximation in QCD

The Single-instanton approximation (SIA) is often used to evaluate analytically instanton contribution to euclidean correlation functions in QCD, at small distances. We discuss how this approximation can be consistently derived from the theory of the instanton ensemble and give precise definitions to a number of different "effective masses", generalizing the parameter $m*$, which was introduced long ago to account for the collective contribution of the whole ensemble. We test numerically the range of applicability of the SIA for different quantities. Furthermore, we determine all the effective masses (for random and interacting instanton liquid models) as well as from phenomenology, and discuss to what extent those are universal.

hep-ph↗

arXiv2001

Present knowledge of the Cabibbo-Kobayashi-Maskawa matrix

A complete review of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and of the experimental methods for their determination is presented. A critical analysis of the relevant experimental results, and in particular of the most recent ones, allows to improve the accuracies of all the matrix elements. A chi-square minimization with the three-family unitarity constraint on the CKM matrix is performed to test the current interpretation of the CP violating phenomena inside the Standard Model. A complete and unambiguous solution satisfying all the imposed constraints is found. As a by-product of the fit, the precision on the values of the matrix elements is further increased and it is possible to obtain estimates for the important CP violation observables $sin 2β$, $sin 2α$ and $γ$. Finally, an independent estimation of the CKM elements based on a Bayesian approach is performed. This complementary method constitutes a check of the results obtained, providing also the probability functions of the CKM elements and of the related quantities.

hep-ph↗

arXiv2000

Probing Relativistic Spin Effects in the Nucleon by Means of Drell-Yan Processes

Significant differences between transverse and longitudinal polarized parton distributions are found at low energies within a light-front covariant quark model of the nucleon. These differences are due to relativistic spin effects introduced by the Melosh rotations and survive evolution to higher $Q^2$ scales. A specific observable related to double-spin asymmetries in lepton pair production in polarized hadron-hadron collisions is defined. The possibility of assessing the relevance of these relativistic spin effects in future experiments at RHIC and HERA--$\vec{N}$ is discussed.

hep-ph↗

arXiv2000

Orbital Angular Momentum Parton Distributions in Light-Front Dynamics

We study the quark angular momentum distribution in the nucleon within a light-front covariant quark model. Special emphasis is put into the orbital angular momentum: a quantity which is very sensitive to the relativistic treatment of the spin in a light-front dynamical approach. Discrepancies with the predictions of the low-energy traditional quark models where relativistic spin effects are neglected, are visible also after perturbative evolution to higher momentum scales. Orbital angular momentum distributions and their contribution to the spin sum rule are calculated for different phenomenological mass operators and compared with the results of the MIT bag model.

hep-ph↗

arXiv1999

Polarized Parton Distributions in Light-Front Dynamics

We present a consistent calculation of the structure functions within a light-front constituent quark model of the nucleon. Relativistic effects and the relevance of the covariance constraints are analyzed for polarized parton distributions. Various models, which differ in their gluonic structure at the hadronic scale, are investigated. The results of the full covariant calculation are compared with those of a non-relativistic approximation to show the structure and magnitude of the differences. It is also shown how measurements of transversity in doubly polarized Drell-Yan lepton pair production are a clearcut sign of covariance requirements for the spin.

hep-ph↗

arXiv1999

Polarized Parton Distributiions and Light-Front Dynamics

We present a consistent calculation of the structure functions within a light-front constituent quark model of the nucleon. Relativistic effects and the relevance of the covariance constraints are analyzed for both polarized and unpolarized parton distributions. Various models, which differ in their gluonic structure at the hadronic scale, are investigated. The results of the full covariant calculation are compared with those of a non-relativistic approximation to show the structure and magnitude of the differences.

hep-ph↗