Scalar one-loop four-point integral with one massless vertex in loop regularization  

作　　者：Jin Zhang 

机构地区：[1]School of Physics and Electronic Engineering,Yuxi Normal University,Yuxi,Yunnan,653100,China

出　　处：《Communications in Theoretical Physics》2021年第10期132-146,共15页理论物理通讯（英文版）

摘　　要：The scalar one-loop four-point function with one massless vertex is evaluated analytically by employing the loop regularization method. According to the method, a characteristic scale μs is introduced to regularize the divergent integrals. The infrared divergent parts, which take the form of ln2(λ^(2)/μ_(s)^(2))and ln(λ^(2)/μ_(s)^(2))as μ_(s)→ 0 where λ is a constant and expressed in terms of masses and Mandelstam variables, and the infrared stable parts are well separated. The result is shown explicitly via 44 dilogarithms in the kinematic sector in which our evaluation is valid.

关 键 词：one-loop four-point integral loop regularization dilogarithm 

分 类 号：O572.2[理学—粒子物理与原子核物理]