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The recent BaBar measurements of the $\gamma\gamma^{*}\to \pi^{0}$ transition form factor show spectacular deviation from perturbative QCD prediction for large space-like $Q^{2}$ up to $34\,\rm GeV^{2}$. When plotted against $Q^{2}$,…

高能物理 - 唯象学 · 物理学 2011-09-19 T. N. Pham , X. Y. Pham

In the presence of a momentum cutoff, effective theories seem unable to faithfully reproduce the so called chiral anomaly in the Standard Model. A novel prospect to overcome this related issue is discussed herein via the calculation of the…

高能物理 - 唯象学 · 物理学 2023-06-08 Hao Dang , Zanbin Xing , M. Atif Sultan , Khépani Raya , Lei Chang

The form factor for the anomalous process gamma pi^+ -> pi^+ pi^0, which is presently being measured at CEBAF, is calculated in the Schwinger-Dyson approach in conjunction with an impulse approximation. The form factors obtained by us are…

高能物理 - 唯象学 · 物理学 2008-11-26 B. Bistrovic , D. Klabucar

The form factor for the anomalous process $\gamma \pi ^* \to \pi \pi$, $F^{3\pi}(s,t,u)$, is calculated as a phenomenological application of the QCD Dyson-Schwinger equations. The chiral-limit value dictated by the electromagnetic,…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , C. D. Roberts

The surprising results by the BarBar collaboration on the $\pi\gamma$ transition form factor require new thoughts about the high-$Q^2$ dependence of the form factors with virtual photons. We make use of the anomaly sum rule [J. Horejsi and…

高能物理 - 唯象学 · 物理学 2012-04-03 Dmitri Melikhov , Berthold Stech

Recently, the BABAR collaboration published (arXiv:0905.4778) data for the photon-pion transition form factor $F_{\pi\gamma\gamma^{\ast}}(Q^{2})$, which are in strong contradiction to the predictions of the standard factorization approach…

高能物理 - 唯象学 · 物理学 2010-04-20 A. E. Dorokhov

We study the $P\to\gamma\,\gamma^*$ ($P=\pi^0,\eta,\eta'$) transition form factors by means of the local-duality (LD) version of QCD sum rules. For the case of $\eta$ and $\eta'$, the conventional LD model provides a good description of the…

高能物理 - 唯象学 · 物理学 2012-02-23 Wolfgang Lucha , Dmitri Melikhov

BaBar's observation of significant deviations of the pion transition form factor (TFF) from the asymptotic expectation with $Q^2>9$ GeV$^2$ has brought a serious crisis to a fundamental picture established for such a simplest $q\bar{q}$…

高能物理 - 唯象学 · 物理学 2015-05-30 Ze-kun Guo , Qiang Zhao

The form factor \pi^0\gamma^*\gamma^* is obtained to the next leading order of derivative expansion of the chiral anomaly and the VMD. As a test the form factor has been used to calculate the cross section of ee^+-->\pi^0\gamma. Theory…

高能物理 - 唯象学 · 物理学 2007-05-23 Bing An Li

The presently experimentally interesting form factor for the anomalous process gamma -> pi^+ pi^0 pi^- is calculated as the quark "box"-amplitude where the intermediate fermion loop is the one of constituent quarks with the pseudoscalar…

高能物理 - 唯象学 · 物理学 2009-10-31 Bojan Bistrovic , Dubravko Klabucar

We study the transition form factor of $\pi^0\to\gamma^* \gamma$ as a function of the momentum transfer $Q^2$ within the light-front quark model (LFQM). We compare our result with the experimental data by BaBar as well as other calculations…

高能物理 - 唯象学 · 物理学 2015-06-03 Chong-Chung Lih , Chao-Qiang Geng

The photon transition form factors of $\pi$, $\eta$ and $\eta'$ are discussed in view of recent measurements. It is shown that the exact axial anomaly sum rule allows a precise comparison of all three form factors at high-$Q^2$ independent…

高能物理 - 唯象学 · 物理学 2012-11-20 Dmitri Melikhov , Berthold Stech

The gamma -> 3 pi form factor was calculated in a simple-minded constituent model with a constant quark mass parameter, as well as in the Schwinger-Dyson approach. The comparison of these and various other theoretical results on this…

高能物理 - 唯象学 · 物理学 2007-05-23 Dubravko Klabucar , Bojan Bistrovic

Motivated by the ongoing measurements of the Primakoff process pi- gamma* --> pi- pi0 by COMPASS collaboration at CERN, the transition form factor for the canonical anomalous process gamma* --> pi+ pi0 pi- is calculated in a constituent…

高能物理 - 唯象学 · 物理学 2013-05-30 Sanjin Benic , Dubravko Klabucar

We propose a formalism to extract the $\gamma\pi\to\pi\pi$ chiral anomaly $F_{3\pi}$ from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the…

高能物理 - 唯象学 · 物理学 2021-12-16 Malwin Niehus , Martin Hoferichter , Bastian Kubis

The $\gamma^{*}\rho^0\to\pi^0$ transition form factor is extracted from recent result for the $\gamma^* \gamma^* \pi^0$ form factor obtained in the extended hard-wall AdS/QCD model with a Chern-Simons term. In the large momentum region, the…

高能物理 - 唯象学 · 物理学 2014-11-20 Fen Zuo , Yu Jia , Tao Huang

In this work, the $\gamma\to3\pi$ form factor is calculated within the Dyson-Schwinger equations framework using a contact interaction model within the so-called modified rainbow ladder truncation. The present calculation takes into account…

高能物理 - 唯象学 · 物理学 2024-01-15 Zanbin Xing , Hao Dang , M. Atif Sultan , Khépani Raya , Lei Chang

We develop a QCD sum rule analysis of the form factor $F_{\gamma^*\gamma^*\pi^0}(q^2,Q^2)$ in the region where virtuality of one of the spacelike photons is small $q^2 \ll 1 GeV^2$ while another is large: $Q^2 \gapprox 1 GeV^2$. We…

高能物理 - 唯象学 · 物理学 2009-10-28 A. V. Radyushkin , R. T. Ruskov

The recently measured $\gamma\gamma^*\rightarrow \pi^0$ anomalous form factor is analyzed using the $D4/D8\bar{D8}$ holographic approach to QCD. The half-on-shell transition form factor is vector meson dominated and is shown to exactly tie…

高能物理 - 唯象学 · 物理学 2011-10-26 Alexander Stoffers , Ismail Zahed

The $\pi^0 \gamma\gamma$ vertex for virtual photons of squared masses $q_1^2$ and $q_2^2$ plays a vital r\^ole in several physical processes; for example for $q_1^2<0$, $q_2^2<0$, in the two-photon physics reaction $e^+ e^-\to e^+ e^-…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Anselm , A. Johansen , E. Leader , L. L ukaszuk
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