Asymptotic behavior of meson transition form factors

被引:58
作者
Hoferichter, Martin [1 ,2 ]
Stoffer, Peter [3 ]
机构
[1] Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland
[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA
[3] Univ Calif San Diego, Dept Phys, 9500 Gilman Dr, La Jolla, CA 92093 USA
基金
瑞士国家科学基金会;
关键词
Chiral Lagrangians; Effective Field Theories; Nonperturbative Effects; Precision QED; TWIST DISTRIBUTION AMPLITUDES; SUM-RULE METHOD; EXCLUSIVE PROCESSES; INVARIANT AMPLITUDES; 2-PHOTON COLLISIONS; VECTOR-MESONS; FINAL-STATE; QCD; FACTORIZATION; DECAYS;
D O I
10.1007/JHEP05(2020)159
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
One of the open issues in evaluations of the contribution from hadronic light- by-light scattering to the anomalous magnetic moment of the muon (g - 2)(mu) concerns the role of heavier scalar, axial-vector, and tensor-meson intermediate states. The coupling of axial vectors to virtual photons is suppressed for small virtualities by the Landau-Yang theorem, but otherwise there are few rigorous constraints on the corresponding form factors. In this paper, we first derive the Lorentz decomposition of the two-photon matrix elements into scalar functions following the general recipe by Bardeen, Tung, and Tarrach. Based on this decomposition, we then calculate the asymptotic behavior of the meson transition form factors from a light-cone expansion in analogy to the asymptotic limits for the pseudoscalar transition form factor derived by Brodsky and Lepage. Finally, we compare our results to existing data as well as previous models employed in the literature.
引用
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页数:34
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