Analytic Expressions of Master Integrals for Higgs Production Through Gluon Fusion at NLO in the EW Coupling

We consider mixed strong-electroweak corrections to Higgs production via gluon fusion, in which the Higgs boson couples to the top quark. Using the method of differential equations, we compute all of the master integrals that contribute to this process at two loops through weight six, keeping full analytic dependence on the top quark, Higgs, W, and Z boson masses. We present the results for these master integrals in terms of iterated integrals whose kernels depend on elliptic curves.我们针对希格斯玻色子通过胶子聚变（gluon fusion）产生的过程，研究其中希格斯玻色子与顶夸克（top quark）耦合情形下的混合强电弱修正。我们采用微分方程方法，计算了该过程两圈阶、权数不超过六的全部贡献主积分（master integrals），完整保留了顶夸克、希格斯玻色子、W玻色子及Z玻色子质量的解析依赖关系。我们以迭代积分（iterated integrals）的形式给出上述主积分的结果，其核函数依赖于椭圆曲线（elliptic curves）。