论文标题

cálculode la Integral escalar a un lazo $ a(m^2)$中心el teorema del listuo

Cálculo de la integral escalar a un lazo $A(m^2)$ mediante el teorema del residuo

论文作者

García-Aguilar, J. D., Gómez-Izquierdo, J. C.

论文摘要

粒子物理现象学中的辐射校正导致对标准模型(SM)的可观察结果进行了很好的预测,这些预测与粒子加速器和探测器的不同测量非常吻合,并且在量子彩色动力学(QCD)的数字预测中,低能能源方案的研究及其研究。这是一本教学纸,我们通过尺寸正则化来计算一个在最简单的辐射校正计算中出现的一个环标量积分$ a(m^2)$。作为主要结果,我们还通过在复杂变量上使用残基定理对该积分进行评估。另外,通过伽马函数属性显示了两个过程之间的等效性。

Radiative corrections in the phenomenology of particle physics lead to great predictions on the observables of the Standard Model (SM) which are in good agreement with different measurements on Particle Accelerators and Detectors and in the case of numeric predictions on Quantum Chromodynamics (QCD) and its study in the lattice for the low energy regime. This is a pedagogical paper in which we calculate the one loop scalar integral $A(m^2)$, that arises in the simplest radiative correction calculation, by means of the dimensional regularization. As main result, we perform also the evaluation of this integral by using the Residue Theorem on complex variable. In addition, the equivalence between the two procedures is shown through Gamma function properties.

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