Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
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DOI：
10.1103/physrevd.80.094013
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发表时间：
2009-08
影响因子：
5
通讯作者：
Jui-yu Chiu;A. Fuhrer;R. Kelley;A. Manohar
中科院分区：
文献类型：
--
作者：
Jui-yu Chiu;A. Fuhrer;R. Kelley;A. Manohar
以前利用软共线有效理论（SCET）对高能散射进行电弱辐射校正的工作已经扩展到包括外部横向和纵向规范玻色子和希格斯玻色子。如果已知高尺度匹配（在对数计数中被两个阶抑制，并且不包含大对数），则可以计算标准模型中所有部分级硬散射振幅的辐射修正，包括QCD和电弱辐射修正、质量效应和希格斯交换修正。有效理论的分解结构对无质量规范理论和有质量规范理论在高能处的规范理论振幅的形式施加了很强的约束，本文对此进行了详细的讨论。辐射修正可以写成与过程无关的单粒子共线函数和一个通用软函数。我们给出了qq{产率}W{下标T}W{下标T}、Z{下标T}Z{下标T}、W{下标L}W{下标L}和Z{下标L}H的辐射校正图，以及gg{产率}W{下标T}W{下标T}来说明我们的结果。纯电弱校正很大，在500 GeV时为12%，在2 TeV时为37%，并且随着能量的增加而迅速增加。在大多数情况下，对部分子（硬）截面的估计理论不确定性小于1%，小于部分子分布函数的不确定性。我们讨论了SCET与其他分解方法之间的关系，并利用SCET导出了Sudakov形状因子的Magnea-Sterman方程，适用于无质量规范理论和质量规范理论，以及轻和重外部粒子。«少
Previous work on electroweak radiative corrections to high-energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge bosons and Higgs bosons. This allows one to compute radiative corrections to all parton-level hard scattering amplitudes in the standard model to next-to-leading-log order, including QCD and electroweak radiative corrections, mass effects, and Higgs exchange corrections, if the high-scale matching, which is suppressed by two orders in the log counting, and contains no large logs, is known. The factorization structure of the effective theory places strong constraints on the form of gauge theory amplitudes at high energy for massless and massive gauge theories, which are discussed in detail in the paper. The radiative corrections can be written as the sum of process-independent one-particle collinear functions, and a universal soft function. We give plots for the radiative corrections to qq{yields}W{sub T}W{sub T}, Z{sub T}Z{sub T}, W{sub L}W{sub L}, and Z{sub L}H, and gg{yields}W{sub T}W{sub T} to illustrate our results. The purely electroweak corrections are large, ranging from 12% at 500 GeV to 37% at 2 TeV for transverse W pair production, and increasing rapidly with energy. The estimated theoretical uncertainty to the partonic (hard) cross section inmore » most cases is below 1%, smaller than uncertainties in the parton distribution functions. We discuss the relation between SCET and other factorization methods, and derive the Magnea-Sterman equations for the Sudakov form factor using SCET, for massless and massive gauge theories, and for light and heavy external particles.« less