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In this report we present the status of the Mainz group's lattice QCD calculation of the pion transition form factor, which describes the interaction of an on-shell pion with two off-shell photons. This form factor is the main ingredient in…

High Energy Physics - Lattice · Physics 2023-11-14 Jonna Koponen , Antoine Gérardin , Harvey B. Meyer , Konstantin Ottnad , Georg von Hippel

In this article, we calculate the $B\to \pi$ transition form factor $f^{+}_{B\pi}(q^2)$ by including perturbative $O(\alpha_s)$ corrections to the twist-2 terms with chiral current in the light-cone QCD sum rule approach. The corrections to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-Gang Wang , Ming-Zhen Zhou , Tao Huang

We report on the perturbative $O(\alpha_s)$ correction to the light-cone QCD sum rule for the $B\to \pi$ transition form factor $f^+$. The correction to the product $f_Bf^+$ in leading twist approximation is found to be about 30%, that is…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Khodjamirian , R. Rückl , S. Weinzierl , O. Yakovlev

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the axial-vector contributions to two-photon processes in the $\overline{\rm MS}$ scheme. This is the last missing element for the complete…

High Energy Physics - Phenomenology · Physics 2021-11-17 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

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…

High Energy Physics - Phenomenology · Physics 2012-02-23 Wolfgang Lucha , Dmitri Melikhov

We evaluate the next-to-next-to-leading order corrections to the hard-scattering amplitude of the photon-to-pion transition form factor. Our approach is based on the predictive power of the conformal operator product expansion, which is…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Melic , D. Müller , K. Passek-Kumericki

We try to understand the recently observed anomalous behavior of the photon-to-pion transition form factor in the holographic QCD approach. First the holographic description of the anomalous \gamma^*\gamma^*\pi^0 form factor is reviewed and…

High Energy Physics - Phenomenology · Physics 2012-02-01 Fen Zuo , Tao Huang

The pion electromagnetic form factor is investigated by using the dispersion relation with the superconvergence condition, which was proposed to synthesize the vector meson dominance model and QCD. The absorptive part is given as an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keiji Watanabe , Hirohisa Ishikawa , Masami Nakagawa

We perform a comparative theoretical study of the data at spacelike momentum transfer for the $\gamma^*\gamma\to\pi^0$ transition form factor, just reported by the Belle Collaboration, vs. those published before by BaBar, also including the…

High Energy Physics - Phenomenology · Physics 2012-08-06 A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We present the status of the Mainz group's lattice QCD calculation of the pion transition form factor $\mathcal{F}_{\pi^0\gamma^\ast\gamma^\ast}$, which describes the interaction of an on-shell pion with two off-shell photons. This form…

High Energy Physics - Lattice · Physics 2025-03-17 Jonna Koponen , Antoine Gerardin , Harvey B. Meyer , Konstantin Ottnad , Georg von Hippel

NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO…

High Energy Physics - Phenomenology · Physics 2025-12-29 Sheng-Quan Wang , Zuo-Fen Liao , Jian-Ming Shen , Hua Zhou , Jia-Wei Zhang , Jiang Yan , Xing-Gang Wu , Leonardo Di Giustino

The pion-photon transition form factor is studied by employing two types of Sum Rules: Light Cone Sum Rules (LCSR) and Anomaly Sum Rules (ASR). By comparing the predictions for the pion-photon transition form factor, obtained from these two…

High Energy Physics - Phenomenology · Physics 2016-04-06 A. G. Oganesian , A. V. Pimikov , N. G. Stefanis , O. V. Teryaev

We discuss the calculation of the $B \rightarrow \pi$ and $D \rightarrow \pi$ form factors based on an expansion in terms of pion wave functions on the light-cone with increasing twist and QCD sum rule methods. The results are compared with…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alexander Khodjamirian , Reinhold Rückl

Recent measurement of the $\gamma\gamma^\ast$ form factor of the neutral pion in the high $Q^2$ region disagrees with {\em a priori} predictions of QCD-based calculations. We comment on existing explanations, and analyze a possibility that…

High Energy Physics - Phenomenology · Physics 2012-03-15 David McKeen , Maxim Pospelov , J. Michael Roney

We calculate the leading-twist O(alphas^2 beta0) corrections to the B to pi transition form factor f+(0) in light-cone sum rules. We find that, as expected, there is a cancellation between the O(alphas^2 beta0) corrections to fB f+(0) and…

High Energy Physics - Phenomenology · Physics 2015-06-04 Aoife Bharucha

We present results of a calculation of the electromagnetic pion form factor within the framework of QCD Sum Rules with nonlocal condensates, using a perturbative spectral density which includes $O(\alpha_s)$ contributions.

High Energy Physics - Phenomenology · Physics 2014-11-18 Alexander P. Bakulev , A. V. Pimikov , N. G. Stefanis

Within the framework of QCD light-cone sum rules (LCSR), we calculate the form factor for $B{\to}D l\tilde{\nu}$ transitions with chiral current correlator. The resulting form factor depends on the distribution amplitude(DA) of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fen Zuo , Zuo-Hong Li , Tao Huang

We present our recent results for the pion elastic form factor [1] obtained within a local-duality three-point sum rule (a Borel sum rule in the limit of an infinite Borel parameter). Our analysis includes the O(1) and O(\alpha_s)…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha , Dmitri Melikhov

The improved light-cone QCD sum rules by using chiral current correlator is systematically reviewed and applied to the calculation of all the heavy-to-light form factors, including all the semileptonic and penguin ones. By choosing suitable…

High Energy Physics - Phenomenology · Physics 2009-03-12 Tao Huang , Zuo-Hong Li , Fen Zuo

The pion and kaon electromagnetic form factors $F_{M}(Q^2)$ are calculated at the leading order of pQCD using the running coupling constant method. In computations dependence of the meson distribution amplitudes on the hard scale $Q^2$ is…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. S. Agaev