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R. Gatto

Publications and source records attributed to R. Gatto.

At least 55 records · Page 3Linked to original sources
arXiv1999

Pseudoscalar Masses in the Effective Theory for Color-Flavor Locking in high density QCD

The constants of the effective action describing the massless modes in the color-flavor-locking phase of QCD have been recently evaluated at high density. Values of the pseudoscalar masses for nonvanishing quark masses have also been given. The calculated values show however a puzzling feature: when $m_u=m_d=0$ and $m_s\not=0$ all the goldstones remain massless. We show that an additional invariant is present which avoids this feature. We costruct this invariant and discuss the emerging mass pattern for the pseudogoldstones. This provides for a complete scheme for the pseudogoldstone masses in the color-flavor-locking phase of QCD.

hep-ph↗
arXiv1999

The Color-Flavor Locking Phase at T \not =0$

We study the color-flavor locked phase of QCD with three massless quarks at high chemical potential and small non zero temperatures. We make use of the recently introduced effective action to describe such a phase. We obtain the exact order T^2 behaviour of the condensates and of the pressure by formally comparing the derivative from the QCD functional with symmetry breaking to that from the effective lagrangian with external sources, respecting the residual Z_2 invariance of the color-flavor locked phase. From these exact results, but now at a very tentative level of conjecture, we are lead to think that the phase structure of QCD at very high density consists of two superconducting phases and a symmetric one.

hep-ph↗
arXiv1999

The semileptonic B->pi decay in a Constituent Quark-Meson model

We evaluate the form factors describing the exclusive decay B-> pi l nu by using a Constituent Quark-Meson model based on an effective quark-meson Lagrangian (CQM). The model allows for an expansion in the pion momenta and we consider terms up to the first order in the pion field derivatives. We compute the leading terms in the soft pion limit and consider corrections to this limit.

hep-ph↗
arXiv1999

Effective Theory for Color-Flavor Locking in high Density QCD

We describe the low energy excitations of the diquark condensates in the color-flavor locked phase of QCD with three massless flavors, at high baryon densities, in terms of a non-linear effective lagrangian. Such a lagrangian is formally seen to correspond to the lagrangian for the hidden gauge symmetry description of the effective low energy chiral lagrangian, the role of the hidden symmetry being played by color. In particular, this agrees with the conjecture that the light degrees of freedom of the two phases are in correspondence to each other (complementarity). The discussion includes consideration of the breaking of Lorentz invariance in presence of matter density.

hep-ph↗
arXiv1999

SM Kaluza-Klein Excitations and Electroweak Precision Tests

We consider a minimal extension to higher dimensions of the Standard Model, having one compactified dimension, and we study its experimental tests in terms of electroweak data. We discuss tests from high-energy data at the $Z$-pole, and low-energy tests, notably from atomic parity violation data. This measurement combined with neutrino scattering data strongly restricts the allowed region of the model parameters. Furthermore this region is incompatible at 95% CL with the restrictions from high-energy experiments. Of course a global fit to all data is possible but the $χ^2_{\rm min}$ for degree of freedom is unpleasantly large.

hep-ph↗
arXiv1999

Detecting and Studying the Lightest Pseudo-Goldstone Boson at Future $pp$, $e^+e^-$ and $μ^+μ^-$ Colliders

For an attractive class of dynamical symmetry breaking (technicolor) models, the lightest neutral pseudo-Nambu-Goldstone boson ($\pzero$) contains only down-type techniquarks and charged technileptons. We discuss the prospects for discovering and studying the $\pzero$ of such models at the Tevatron and the LHC and at future $\epem$ and $\mupmum$ colliders. Depending upon the number of technicolors, $\ntc$, discovery of the $\pzero$ at the Tevatron and the LHC in the $gg\to\pzero\to\gam\gam$ mode could be possible over a wide range of mass. For $\ntc=4$, discovery of the $\pzero$ at an $\epem$ collider via the reaction $\epem\to\gam \pzero$ should be possible as long as $\mpzero$ is not near $\mz$. In the $\gam\gam$ collider mode of operation at an $\epem$ collider, the $\gam\gam\to\pzero\to b\anti b$ signal should be very robust if $\ntc=4$. For the minimal $\ntc=1$ case, detection of the $\pzero$ at the Tevatron and in $\epem$ collisions will be very difficult, and the precision of measurements at the LHC and the $\gam\gam$ collider decline markedly. A $\mupmum$ collider yields a $\pzero$ production rate that does not depend markedly upon $\ntc$. At a $\mupmum$ collider discovery of the $\pzero$ as an $s$-channel resonance should prove possible via scanning, even if it has not already been detected elsewhere. Once $\mpzero$ is precisely known, operation of the $\mupmum$ collider as a $\pzero$ factory will allow precision measurements of enough observables to determine the number of technicolors of the theory and (up to a discrete set of ambiguities) the fundamental parameters of the low-energy effective Lagrangian describing the Yukawa couplings of the $\pzero$.

hep-ph↗
arXiv1999

Bounds on New Physics from the New Data on Parity Violation in Atomic Cesium

We assume the latest experimental determination of the weak charge of atomic cesium and analyze its implications for possible new physics. We notice that the data would imply positive upper and lower bounds on the new physics contribution to the weak charge, $δ_NQ_W$. The required new physics should be of a type not severely constrained by the high energy precision data. A simplest possibility would be new neutral vector bosons almost un-mixed to the $Z$ and with sizeable couplings to fermions. The lower positive bound would however forbid zero or negative $δ_NQ_W$ and exclude not only the standard model but also models with sequential $Z^\prime$, in particular simple-minded towers of $Z$-like excitations from extra-dimensions. The bound would also imply an upper limit on the $Z^\prime$ mass within the models allowed. Conclusions are also derived for models of four-fermion contact interactions.

hep-ph↗
arXiv1999

Analysis of Narrow s-channel Resonances at Lepton Colliders

The procedures for studying a single narrow s-channel resonance or nearly degenerate resonances at a lepton collider, especially a muon collider, are discussed. In particular, we examine four methods for determining the parameters of a narrow s-channel resonance: scanning the resonance, measuring the convoluted cross section, measuring the Breit-Wigner area, and sitting on the resonance while varying the beam energy resolution. This latter procedure is new and appears to be potentially very powerful. Our focus is on computing the errors in resonance parameters resulting from uncertainty in the beam energy spread. Means for minimizing these errors are discussed. The discussion is applied to the examples of a light SM-Higgs, of the lightest pseudogoldstone boson of strong electroweak breaking, and of the two spin-1 resonances of the Degenerate BESS model (assuming that the beam energy spread is less than their mass splitting). We also examine the most effective procedures for nearly degenerate resonances, and apply these to the case of Degenerate BESS resonances with mass splitting of order the beam energy spread.

hep-ph↗
arXiv1999

A New Technique for Determining the Properties of a Narrow $s$-channel Resonance at a Muon Collider

We explore an alternative to the usual procedure of scanning for determining the properties of a narrow $s$-channel resonance. By varying the beam energy resolution while sitting on the resonance peak, the width and branching ratios of the resonance can be determined. The statistical accuracy achieved is superior to that of the usual scan procedure in the case of a light SM-like Higgs boson with $\mh>130\gev$ or for the lightest pseudogoldstone boson of a strong electroweak breaking model if $\mpzero>150\gev$.

hep-ph↗
arXiv1999

Couplings of pions to higher positive parity heavy mesons

We evaluate the couplings of pions in the transitions of positive parity heavy mesons, (1+,2+) and (0+,1+), to negative parity ones (0-,1-) using a technique which is not limited to the soft-pion limit. This is made through a constituent quark-meson model (the CQM model) where the amplitudes are obtained by quark loops with mesons on the external lines. The results are in good agreement with experimental data.

hep-ph↗
arXiv1998

Semileptonic B -> rho and B -> a_1 transitions in a quark-meson model

We evaluate the form factors governing the exclusive decays B->rho l nu, B->a_1 l nu, by using an effective quark-meson lagrangian. The model is based on meson-quark interactions, and the computation of the mesonic transition amplitudes is performed by considering diagrams with heavy mesons attached to loops containing heavy and light constituent quarks. This approach was successfully employed to compute the Isgur-Wise form factors and other hadronic observables for negative and positive parity heavy mesons and is presently used for exclusive heavy-to-light weak transitions. We also evaluate a few strong coupling constants appearing in chiral effective lagrangians for heavy and light mesons.

hep-ph↗
arXiv1998

Pseudoscalar and scalar meson masses at finite temperature

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral symmetry breaking at different temperatures. We calculate the temperature T* at which M_sigma(T) < 2M_pi(T), above which the sigma partial width into two pions vanishes. We find T*=0.95T_c (where T_c is the critical temperature for the chiral phase transition), within the full effective potential given by the formalism. We find that an expansion a-la Landau of the effective potential around the critical point in the limit of small quark mass provides for a very good determination of T*.

hep-ph↗
arXiv1998

Comparing electroweak data with a decoupling model

Present data, both from direct Higgs search and from analysis of electroweak data, are starting to become rather restrictive on the possible values for the mass of the standard model Higgs. We discuss a new physics scenario based on a model with decoupling (both in a linear and in a non linear version) showing how it allows for an excellent fit to the present values of the $ε$ parameters and how it widens the allowed ranges for the Higgs mass (thought as elementary in the linear version, or as composite in the non linear one).

hep-ph↗
arXiv1998

A Constituent Quark-Meson Model for Heavy-Meson Processes

We describe the effective heavy meson lagrangian for S- and P-wave heavy-light mesons in terms of a model based on meson-quark interactions, where mesonic transition amplitudes are represented by diagrams with heavy mesons attached to loops containing heavy and light constituent quarks. The model is relativistic and incorporates the heavy quark symmetries. The universal form factors of the heavy meson transition amplitudes are calculated together with their slopes and compared to existing data and limits. As further applications of the model, strong and radiative decays of D* and B* are considered. The agreement with data is surprisingly good and shows that the model offers a viable alternative to effective meson lagrangians which require a larger number of input parameters.

hep-ph↗
arXiv1998

A Strong Electroweak Sector at Future mu^+ mu^- Colliders

We discuss the prospects for detecting at a muon collider the massive new vector resonances V and light pseudo-Nambu-Goldstone bosons P of a typical strongly interacting electroweak sector (as represented by the BESS model). Expected sensitivities to V's at a high energy collider are evaluated and the excellent prospects for discovering P's via scanning at a low energy collider are delineated.

hep-ph↗
arXiv1997

Equation of state for the 2+1 dimensional Gross-Neveu model at order 1/N

We calculate the equation of state of the Gross-Neveu model in 2+1 dimensions at order 1/N, where N is the number of fermion species. We make use of a general formula valid for four-fermion theories, previously applied to the model in 1+1 dimensions. We consider both the discrete and continuous symmetry versions of the model. We show that the pion-like excitations give the dominant contribution at low temperatures. The range of validity for such pion dominance is analyzed. The complete analysis from low to high temperatures also shows that in the critical region the role of composite states is relevant, even for quite large N, and that the free-component behaviour at high T starts at about twice the mean field critical temperature.

hep-ph↗
arXiv1997

Corrections to the Pagels-Stokar Formula for f_π

Within the composite operator formalism we derive a formula for the pion decay constant $f_π$, as defined directly from the residue at the pion pole of the meson propagator, rather than from the matrix element of the axial current. The calculation is performed under some simplifying assumptions, and we verify the complete consistency with soft-pion results, in particular with the Adler-Dashen relation. The formula one obtains for (the pole-defined) $f_π^2$ differs from the previous Pagels-Stokar expression by an additive term, and it still provides $f_π^2$ in terms of the quark self-energy. We make some numerical estimates leading to $(30 ÷40)%$ deviation for $f_π^2$ with respect to the Pagels-Stokar formula.

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