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arXiv 2011.02494hep-phhep-th
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QCD算符到16维的双圈反常维数和Higgs EFT振幅

Two-Loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Qingjun Jin, Ke Ren, Gang Yang

摘要:

我们考虑了QCD胶子扇区中高维Lorentz标量算符的双圈重整化。这些算子也出现在希格斯有效理论中,该理论是通过在胶子融合过程中积分掉顶夸克环而得到的。我们首先讨论了算子的分类以及如何用离壳场论方法和在壳形状因子方法构造一组好的基。为了研究循环校正,我们采用有效的酉IBP策略,并计算长度为3的算子的两个循环的最小形状因子,直到16维。从形状因子结果的UV发散中,我们提取了重整化矩阵,并详细分析了算子混合行为。我们计算的形状因子也相当于希格斯粒子加上三胶子振幅,在希格斯粒子EFT中捕获高阶顶质量修正。我们得到了具有几种泛超越性结构的解析有限余函数。

英文摘要:

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion process. We first discuss the classification of operators and how to construct a good set of basis using both off-shell field theory method and on-shell form factor formalism. To study loop corrections, we apply efficient unitarity-IBP strategy and compute the two-loop minimal form factors of length-3 operators up to dimension sixteen. From the UV divergences of form factor results, we extract the renormalization matrices and analyze the operator mixing behavior in detail. The form factors we compute are also equivalent to Higgs plus three-gluon amplitudes that capture high-order top mass corrections in Higgs EFT. We obtain the analytic finite remainder functions which exhibit several universal transcendentality structures.

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