论文标题
矢量玻色子对生产一个循环：该过程的分析结果$ q \ bar {q} \ ell \ bar \ ell \ ell \ ell \ ell \ ell^prime \ bar {\ ell}^\ prime g $
Vector boson pair production at one loop: analytic results for the process $q \bar{q} \ell \bar\ell \ell^\prime \bar{\ell}^\prime g$
论文作者
论文摘要
我们介绍了该过程的单循环振幅的紧凑型分析结果$ 0 \ rightarrow q \ bar {q} \ ell \ bar \ el \ ell \ ell \ ell \ ell^prime \ prime \ bar {\ ell}^\ prime g $，与生产$ z $和$ w $ -bosons的生产相关。我们专注于由夸克循环介导的规格不变贡献。我们明确包含循环夸克质量$ m $的所有效果，适合生产一对$ z $ - bosons。在极限$ m \至0 $中，我们的结果也适用于$ W $ -BOSON对的生产，该对由无质量的夸克循环介导。在数值代码中实现的结果很快。该计算采用了旋转螺旋性简化技术的新进步，首次应用于五点无质量运动学。我们利用来自代数几何的主要分解，现在涉及非自由基理想和数字理论的$ p $ addic数字。我们展示了如何通过数值评估来推断分子多项式是否属于非自由基理想的符号力量。
We present compact analytic results for the one-loop amplitude for the process $0 \rightarrow q \bar{q} \ell \bar\ell \ell^\prime \bar{\ell}^\prime g$, relevant for both the production of a pair of $Z$ and $W$-bosons in association with a jet. We focus on the gauge-invariant contribution mediated by a loop of quarks. We explicitly include all effects of the loop-quark mass $m$, appropriate for the production of a pair of $Z$-bosons. In the limit $m \to 0$, our results are also applicable to the production of $W$-boson pairs, mediated by a loop of massless quarks. Implemented in a numerical code, the results are fast. The calculation uses novel advancements in spinor-helicity simplification techniques, for the first time applied beyond five-point massless kinematics. We make use of primary decompositions from algebraic-geometry, which now involve non-radical ideals, and $p$-adic numbers from number theory. We show how to infer whether numerator polynomials belong to symbolic powers of non-radical ideals through numerical evaluations.
