SCET at Sub-Leading Power: Higgs Amplitudes Induced by Light Quarks as an Example

Leading power soft-collinear effective theory (SCET) has a lot of beautiful applications at colliders to deal with multi-scale processes. Now SCET beyond leading power is of great interests under request of precision studies at colliders. In this talk, I will briefly review the basic ideas of SCET and use Higgs amplitudes induced by light quarks to illustrate some generic features at sub-leading power. I will show how we can handle the endpoint divergence, which is still an open question at sub-leading power, by a subtraction prescription in this example.