混合链图传播子修正下e^(+)e^(-)→W^(+)W^(-)反应截面的解析计算

Analytical Calculation of Reaction Cross Section of e^(+)e^(-)→W+W-with Correction of Hybrid Chain Propagators

在电弱统一标准模型(the electroweak stamdard model,SM)理论框架下,对光子γ和中间玻色子Z混合链图传播子的构架方式作了详细分析,通过对各圈图传播子重新归类和组合,得到了相应的混合链图传播子的级数表达式;再通过在壳重整化方案引入抵消项,获得相应的重整化混合链图传播子的严格解析结果.基于同样的处理,还获得了电子中微子重整化链图传播子的严格解析结果.进而,将此结果应用到粒子反应e^(+)e^(-)→W^(+)W^(-)中,获得了在重整化链图传播子修正下的e^(+)e^(-)→W^(+)W^(-)反应截面.通过具体数值计算发现,针对e^(+)e^(-)→W^(+)W^(-)反应过程,混合链图传播子修正下的反应截面对树图阶反应截面有压低效应.最后,讨论了在W^(+)W^(-)对产生能量阈值附近W玻色子质量对总截面的影响,并结合环形正负电子对撞机(the crcular electron positron couider,CEPC)实验,分别讨论了在CEPC上W^(+)W^(-)阈值附近和240 GeV对撞能区可产生的事例数.

The framework ofγand Z hybrid chain propagators which are formed by photon and intermediate boson,respectively,is analyzed in the electroweak standard model(SM).The corresponding series expressions of the hybrid chain propagators are obtained by re^(-)classifying and combining the propagators of each loop propagator,and analytical results of renormalized chain propagators are obtained through the introduction of the counter terms in the on-shell renormalization scheme.Based on the same treatment,the renormalized electron neutrino chain propagator is obtained.Furthermore,this result is applied to the particle reaction of e^(+)e^(-)→W^(+)W^(-),and the reaction cross section is obtained under the hybrid chain propagators'correction.The numerical results show that the reaction cross section of hybrid chain propagators has a suppression effect on the tree^(-)level cross section.Finally,the effect of W boson’s mass near the W^(+)Wthreshold on the total cross section is discussed.Combined with the Circular Electron Positron Collider(CEPC)experiment,the numbers of W^(+)W^(-)that can be generated near the W^(+)W^(-)threshold and in the region of 240 GeV collision energy are discussed,respectively.