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Related papers: Shape of Pion Distribution Amplitude

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We derive the amplitude for the process $e^+e^-\to \pi^0\pi^0$ at large invariant energy. The process goes through the two-photon exchange and its amplitude is expressed in terms of the convolution integral which depends on the shape of the…

High Energy Physics - Phenomenology · Physics 2009-11-23 N. A. Kivel , M. V. Polyakov

We present and develop a general dispersive framework allowing us to construct representations of the amplitudes for the processes $P\pi\to\pi\pi$, $P=K,\eta$, valid at the two-loop level in the low-energy expansion. The construction…

High Energy Physics - Phenomenology · Physics 2020-05-13 Karol Kampf , Marc Knecht , Jiri Novotny , Martin Zdrahal

We show that the semi-leptonic decay B+ -> pi+ pi- l+ \nu_l can be used as a source of information for two-pion distribution amplitudes. The connection between these amplitudes and the B-meson decay width is achieved by the light cone sum…

High Energy Physics - Phenomenology · Physics 2009-01-07 Martin Maul

We complete the set of QCD light-cone sum rules for $B\to \pi\pi$ transition form factors, deriving a new sum rule for the timelike-helicity form factor $F_t$ in terms of dipion distribution amplitudes. This sum rule, in the leading twist-2…

High Energy Physics - Phenomenology · Physics 2017-10-04 Shan Cheng , Alexander Khodjamirian , Javier Virto

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We describe the present status of the pion distribution amplitude (DA) as it originated from several sources: (i) a nonperturbative approach, based on QCD sum rules with nonlocal condensates, (ii) an O(\alpha_s) QCD analysis of the CLEO…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. P. Bakulev

The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression…

The pion mass difference generates a pronounced cusp in K --> 3 pi decays, the strength of which is related to the pi pi S-wave scattering lengths. We apply an effective field theory framework developed earlier to evaluate the amplitudes…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bissegger , A. Fuhrer , J. Gasser , B. Kubis , A. Rusetsky

An analysis of all available data (CELLO, CLEO, \babar) in the range $[1\div 40]$ GeV$^2$ for the pion-photon transition form factor in terms of light-cone sum rules with next-to-leading-order accuracy is discussed, including twist-four…

High Energy Physics - Phenomenology · Physics 2012-04-24 N. G. Stefanis

Using a holographic dual model of QCD, we compute the pion electromagnetic form factor F_pi(Q^2) in the spacelike momentum transfer region, as well as pion couplings to vector mesons g_rho^(n) pi pi. Spontaneous and explicit chiral symmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Herry J. Kwee , Richard F. Lebed

In view of the first measurement of the branching fraction for J/psi --> pi^0 e^+ e^- by the BESIII collaboration, we analyze what can be learnt on the corresponding transition form factor using dispersion theory. We show that light-quark…

High Energy Physics - Phenomenology · Physics 2015-03-05 Bastian Kubis , Franz Niecknig

Pion valence distributions in nuclear medium and vacuum are studied in a light-front constituent quark model. The in-medium input for studying the pion properties is calculated by the quark-meson coupling model. We find that the in-medium…

High Energy Physics - Phenomenology · Physics 2017-01-20 J. P. B. C de Melo , K. Tsushima , I. Ahmed

We describe basics of a new approach to transverse momentum dependence in hard exclusive processes. We develop it in application to the transition process \gamma^* \gamma -> \pi^0 at the handbag level. Our starting point is coordinate…

High Energy Physics - Phenomenology · Physics 2016-03-23 A. V. Radyushkin

The leading-twist valence-quark distribution function in the pion is obtained at a low normalization scale of an order of the inverse average size of an instanton $\rho_c$. The momentum dependent quark mass and the quark-pion vertex are…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Dorokhov , Lauro Tomio

A set of once subtracted dispersion relations with imposed crossing symmetry condition for the pipi D- and F-wave amplitudes is derived and analyzed. An example of numerical calculations in the effective two pion mass range from the…

High Energy Physics - Phenomenology · Physics 2011-11-10 R. Kaminski

We calculate the leading-twist light-cone distribution amplitudes of the light $\Lambda$ baryon using lattice methods within the framework of large momentum effective theory. Our numerical computations are conducted employing $N_f=2+1$…

High Energy Physics - Lattice · Physics 2025-02-24 Min-Huan Chu , Haoyang Bai , Jun Hua , Jian Liang , Xiangdong Ji , Andreas Schafer , Yushan Su , Wei Wang , Yi-Bo Yang , Jun Zeng , Jian-Hui Zhang , Qi-An Zhang

Detailed predictions for the scaled pion-photon transition form factor are given, derived with the method of light-cone sum rules and using pion distribution amplitudes with two and three Gegenbauer coefficients obtained from QCD sum rules…

High Energy Physics - Phenomenology · Physics 2014-03-03 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

Previous representations of pion pair production amplitudes by two real photons at low energy, which combine dispersion theoretical constraints with elastic unitariy, chiral symmetry and soft photon constraints are generalized to the case…

High Energy Physics - Phenomenology · Physics 2015-06-15 B. Moussallam

We report results on the $\pi$-$\gamma$ transition form factor obtained within the hard scattering approach including transverse momentum effects and Sudakov corrections. The results clearly favor distribution amplitudes close to the…

High Energy Physics - Phenomenology · Physics 2009-09-25 R. Jakob , P. Kroll , M. Raulfs

We propose a model for generalized parton distributions of the pion based on the power-law ansatz for the effective light-cone wave function.

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Mukherjee , I. V. Musatov , H. C. Pauli , A. V. Radyushkin