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arXiv 0712.3533hep-ph
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硬排斥反应的色散表示

Dispersion representations for hard exclusive reactions

M. Diehl, D. Yu. Ivanov

摘要:

一些硬排斥散射过程可以用广义部分子分布和微扰硬散射核来描述。物理振幅和硬散射核都满足色散关系。我们表明,它们的一致性在所有订单微扰理论是保证,如果GPD满足一定的积分关系。由于洛伦兹不变性,这些关系得以满足。

英文摘要:

A number of hard exclusive scattering processes can be described in terms of generalized parton distributions (GPDs) and perturbative hard-scattering kernels. Both the physical amplitude and the hard-scattering kernels fulfill dispersion relations. We show that their consistency at all orders in perturbation theory is guaranteed if the GPDs satisfy certain integral relations. These relations are fulfilled thanks to Lorentz invariance.

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