The Mixed Vector Current Correlator <0|T(V^3_\mu V^8_\nu )|0> To Two Loops in Chiral Perturbation Theory

The isospin-breaking correlator of the product of flavor octet vector currents, $V^3_\mu$ and $V^8_\nu$, $\Pi^{38}_{\mu\nu}(q^2)$ is computed to next-to-next- to-leading (two-loop) order in Chiral Perturbation Theory. Large corrections to both the magnitude and $q^2$-dependence of the one-loop result are found, and the reasons for the slow convergence of the chiral series for the correlator given. The two-loop expression involves a single ${\cal O}(q^6)$ counterterm, present also in the two-loop expressions for $\Pi^{33}_{\mu\nu}(q^2)$ and $\Pi^{88}_{\mu\nu}(q^2)$, which counterterm contributes a constant to the scalar correlator $\Pi^{38}(q^2)$. The feasibility of extracting the value of this counterterm from other sources is discussed. Analysis of the slope of the correlator with respect to $q^2$ using QCD sum rules is shown to suggest that, even to two-loop order, the chiral series for the correlator may not yet be well-converged.Comment: 32 pages, uses REVTEX and epsfig.sty with 7 uuencoded figures. Entire manuscript available as a ps file at http://www.physics.adelaide.edu.au/theory/home.html Also available via anonymous ftp at ftp://adelphi.adelaide.edu.au/pub/theory/ADP-95-27.T181.p

η→π0γγ\eta \to \pi^0 \gamma \gamma decay within unitarized chiral perturbation theory

We improve the calculations of the $\eta \to \pi^0 \gamma \gamma$ decay within the context of meson chiral lagrangians. We use a chiral unitary approach for the meson-meson interaction, thus generating the $a_0(980)$ resonance and fixing the longstanding sign ambiguity on its contribution. This also allows us to calculate the loops with one vector meson exchange, thus removing a former source of uncertainty. In addition we ensure the consistency of the approach with other processes. First, by using vector meson dominance couplings normalized to agree with radiative vector meson decays. And, second, by checking the consistency of the calculations with the related $\gamma \gamma \to \pi^0 \eta$ reaction. We find an $\eta \to \pi^0 \gamma \gamma$ decay width of $0.47\pm 0.10$ eV, in clear disagreement with published data but in remarkable agreement with the most recent measurement.Comment: 15 pages, 10 figures, published versio

Non-factorizable contributions in hadronic weak decays of charm mesons

Two body decays of charm mesons are studied by describing their amplitude in terms of a sum of factorizable and non-factorizable ones. The former is estimated by using a naive factorization while the latter is calculated by using a hard pseudo-scalar-meson approximation. The hard pseudo-scalar-meson amplitude is given by a sum of the so-called equal-time commutator term and surface term which contains all possible pole contributions of various mesons, not only the ordinary $\{q\bar q\}$ but also four-quark $\{qq\bar q\bar q\}$, hybrid $\{q\bar qg\}$ and glue-balls. Naively factorized amplitudes for the spectator decays which lead to too big rates can interfere destructively with exotic meson pole amplitudes and the total amplitudes can reproduce their observed rates. The non-factorizable contributions can supply sufficiently large contributions to the color suppressed decays which are strongly suppressed in the naive factorization. A possible solution to the long standing puzzle that the ratio of decay rates for $D^0\to K^+K^-$ to $D^0\to \pi^+\pi^-$ is around 2.5 is given by different contributions of exotic meson poles.Comment: 22 pages, RevTe

Modelling lung deposition of fine particulate matter in males and females during urban cycle commuting

Exposure to fine particulate matter (PM2.5) from urban areas may be modified by structural (e.g., airway anatomy) and functional (e.g., ventilatory pattern) sex-related physiological differences during exercise, resulting in greater PM2.5 deposition in females versus males. Beyond the total PM2.5 deposition, further insights concerning regional differences in PM2.5 deposition are needed to understand females’ hyperresponsiveness to PM2.5. Thus, a modelling-based analysis of structural and functional characteristics of PM2.5 deposition in the human respiratory tract was conducted simulating an urban cycle commute of 30 minutes. Two scenarios were considered to estimate the PM2.5 deposition: 1) greater minute ventilations in females versus males (p &lt; 0.001); and 2) minute ventilations matched between males and females (p = 0.710). We found that females experience 51.32% and 0.62% greater total PM2.5 deposition for Scenarios 1 and 2, respectively (both p &lt; 0.001). Regardless of total minute ventilation, there was greater PM2.5 deposition into the bronchiolar and alveolar region in females compared to males (p &lt; 0.001 for both). These data indicate a greater likelihood of bronchial hyperresponsiveness in females compared with males when exposed to PM2.5 while cycle commuting in urban areas