论文标题
$ O（α^2）$初始状态QED更正为$ e^+e^ - \rightarrowγ^*/z_0^*$
The $O(α^2)$ Initial State QED Corrections to $e^+e^- \rightarrow γ^*/Z_0^*$
论文作者
论文摘要
我们将完整的$ O（α^2）$初始状态辐射校正计算为$ e^+ e^ - $ nihihations在直接分析计算中无需任何近似值中的中性矢量玻色子中。校正是根据迭代的不完整（椭圆形）积分在正方形的字母上表示的。执行限制$ s \ gg m_e^2 $，我们发现了较早的参考结果{berends：1987ab}的结果，并确认在Ref .〜 \ cite {blumlein：2011mi}中获得的结果，其中大规模操作员矩阵元素的有效方法已适用于所有$^$^2_e的有效方法。通过这种方式，我们还确认了大规模参与者在Drell-yan过程中分解的有效性。我们以$ o（α^2）$为$ o（α^2）$的非含量术语添加，这在先前的计算中尚未考虑。可以根据Nielsen积分给出限制$ S \ gg m_e^2 $的最终结果。
We calculate the complete $O(α^2)$ initial state radiation corrections to $e^+ e^-$ annihilation into a neutral vector boson in a direct analytic computation without any approximation. The corrections are represented in terms of iterated incomplete (elliptic) integrals over alphabets of square--root valued letters. Performing the limit $s \gg m_e^2$, we find discrepancies with the earlier results of Ref.~\cite{Berends:1987ab} and confirm results obtained in Ref.~\cite{Blumlein:2011mi} where the effective method of massive operator matrix elements has been used, which works for all but the power corrections in $m^2_e/s$. In this way, we also confirm the validity of the factorization of massive partons in the Drell--Yan process. We add non--logarithmic terms at $O(α^2)$ which have not been considered in previous calculations. The final results in the limit $s \gg m_e^2$ can be given in terms of Nielsen integrals.
