3,929 research outputs found
An example of resonance saturation at one loop
We argue that the large-Nc expansion of QCD can be used to treat a Lagrangian
of resonances in a perturbative way. As an illustration of this we compute the
L_10 coupling of the Chiral Lagrangian by integrating out resonance fields at
one loop. Given a Lagrangian and a renormalization scheme, this is how in
principle one can answer in a concrete and unambiguous manner questions such as
at what scale resonance saturation takes place.Comment: 9 pages, 5 figures. Enlarged discussion, results unchanged. To be
published in Phys. Rev.
Decay of pseudoscalars into lepton pairs and large-Nc QCD
The counterterm combination that describes the decay of pseudoscalar mesons
into charged lepton pairs at lowest order in chiral perturbation theory is
considered within the framework of QCD in the limit of a large number of
colours Nc. When further restricted to the lowest meson dominance approximation
to large-Nc QCD, our results agree well with the available experimental data.Comment: 5 pages, 2 figure
Reanalysis of pion pion phase shifts from K -> pi pi decays
We re-investigate the impact of isospin violation for extracting the s-wave
pion pion scattering phase shift difference delta_0(M_K) - delta_2(M_K) from K
-> pi pi decays. Compared to our previous analysis in 2003, more precise
experimental data and improved knowledge of low-energy constants are used. In
addition, we employ a more robust data-driven method to obtain the phase shift
difference delta_0(M_K) - delta_2(M_K) = (52.5 \pm 0.8_{exp} \pm 2.8_{theor})
degrees.Comment: 8 page
AN EXAMINATION OF HIGH SCHOOL STUDENTS\u27 EXPERIENCES AS ANTI-DEFAMATION LEAGUE PEER TRAINERS: A CASE STUDY
The purpose of this qualitative case study was to examine students experiences as Anti-Defamation League (ADL) Peer Trainers at a predominately White, suburban high school in New Jersey, including in what ways students\u27 experiences reflected transformative learning and empowered them as social justice allies. In addition, the study explored in what ways students\u27 experiences could inform social justice education at their high school. The findings indicate that within this context, many participants experienced at least the beginning of perspective transformation, resulting in a shift from an exclusive to an inclusive perspective and an orientation toward social justice. Further, the findings suggest that adolescence may be an asset when the goal is to teach for transformation, as some participants developed a positive self-image related to their roles, and many felt empowered by their experiences
Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
Employing background-field method and super-heat-kernel expansion, we compute
the complete one-loop renormalization of the electroweak chiral Lagrangian with
a light Higgs boson. Earlier results from purely scalar fluctuations are
confirmed as a special case. We also recover the one-loop renormalization of
the conventional Standard Model in the appropriate limit.Comment: 15 pages, no figures; v2: reference and comments added, typos fixed,
matches published versio
Vanishing chiral couplings in the large-N_C resonance theory
The construction of a resonance theory involving hadrons requires
implementing the information from higher scales into the couplings of the
effective Lagrangian. We consider the large-Nc chiral resonance theory
incorporating scalars and pseudoscalars, and we find that, by imposing LO
short-distance constraints on form factors of QCD currents constructed within
this theory, the chiral low-energy constants satisfy resonance saturation at
NLO in the 1/Nc expansion.Comment: 5 pages, 2 figures. Version published in Physical Review D. Some
equations to facilitate the discussion have been adde
Chiral two-loop pion-pion scattering parameters from crossing-symmetric constraints
Constraints on the parameters in the one- and two-loop pion-pion scattering
amplitudes of standard chiral perturbation theory are obtained from explicitly
crossing-symmetric sum rules. These constraints are based on a matching of the
chiral amplitudes and the physical amplitudes at the symmetry point of the
Mandelstam plane. The integrals over absorptive parts appearing in the sum
rules are decomposed into crossing-symmetric low- and high-energy components
and the chiral parameters are finally related to high-energy absorptive parts.
A first application uses a simple model of these absorptive parts. The
sensitivity of the results to the choice of the energy separating high and low
energies is examined with care. Weak dependence on this energy is obtained as
long as it stays below ~560 MeV. Reliable predictions are obtained for three
two-loop parameters.Comment: 23 pages, 4 figures in .eps files, Latex (RevTex), our version of
RevTex runs under Latex2.09, submitted to Phys. Rev. D,minor typographical
corrections including the number at the end of the abstract, two sentences
added at the end of Section 5 in answer to a referee's remar
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