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arXiv 0909.1657hep-phhep-th
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异常Sudakov形状因子

Anomalous Sudakov Form Factors

Marcello Ciafaloni, Paolo Ciafaloni, Denis Comelli

摘要:

虽然辐射校正红外起源通常抑制高能量振幅(Sudakov形状因子),我们发现,在某些情况下,remation的领先效应产生的指数与正指数,从而产生的振幅无限增长的能量。这种效应发生在破缺的规范理论中,比如标准模型的电弱部分,它与不遵守规范对称性的振幅的存在有关,而且与预期相反,这种振幅在非常高的能量极限下不会消失,而是变得占主导地位。作为一个工作的例子,我们考虑一个模型与两个手征阿贝尔规范群$U'(1)\otimes U(1)$与大质量分裂$M_{Z'} \gg M_{Z} $,我们计算领先的辐射修正的重额外${Z'}$玻色子衰变成轻费米子。对于适当的费米子电荷,手性破坏磁偶极矩,虽然质量抑制,成为占主导地位的贡献$Z'$宽度在非常高的能量。

英文摘要:

While radiative corrections of infrared origin normally depress high energy amplitudes (Sudakov form factors), we find that in some cases resummation of leading effects produces exponentials with positive exponents, giving rise to amplitudes that grow indefinitely with energy. The effect happens in broken gauge theories like the electroweak sector of the Standard Model, and is related to the existence of amplitudes that do not respect the gauge symmetry, and that contrary to expectations do not vanish in the very high energy limit, but rather become dominant. As a working example we consider a model with two chiral abelian gauge groups $U'(1)\otimes U(1)$ with large mass splitting $M_{Z'} \gg M_{Z} $, and we compute leading radiative corrections corrections to the decay of the heavy extra ${Z'}$ boson into light fermions. For proper fermionic charges, the chirality breaking magnetic dipole moment, although mass suppressed, becomes the dominant contribution to the $Z'$ width at very high energies.

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