The signal strength of the gg → H → γγ reaction in pp collisions at the Large Hadron Collider is studied within the context of the standard model with universal extra dimensions (UED). The impact of an arbitrary number n of UED on both the gg → H and H → γγ subprocesses is studied. The one-loop contribution of Kaluza–Klein excitations on these subprocesses are proportional to discrete and continuous sums, ##IMG## [http://ej.iop.org/images/0954-3899/47/10/105003/gab9494ieqn2.gif] {${\sum }_{\left(\underline{k}\right)}\int {\mathrm{d}}^{4}k$} , which can diverge. By implementing the dimensional regularization scheme, it is shown that discrete regularized sums can naturally be expressed as multidimensional Epstein functions, and that divergences, if exist, emerge through the poles of these functions. It is found that continuous sums converge, but the discrete ones diverge, with the exception of the ...

中文翻译：

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通用尺寸的双光​​子希格斯信号强度

在具有通用额外尺寸（UED）的标准模型的背景下，研究了大型强子对撞机pp碰撞中gg→H→γγ反应的信号强度。研究了任意数量的UED对gg→H和H→γγ子过程的影响。这些子过程的Kaluza-Klein激励的单环贡献与离散和连续和成正比，## IMG ## [http://ej.iop.org/images/0954-3899/47/10/105003/gab9494ieqn2 .gif] {$ {\ sum} _ {\ left（\ underline {k} \ right）} \ int {\ mathrm {d}} ^ {4} k $}，它们可能会有所不同。通过实施维正则化方案，表明离散的正则和可以自然地表示为多维爱泼斯坦函数，并且如果存在，则发散通过这些函数的极点。发现连续的和收敛，