Ding Yu Shao, Chong Sheng Li, Hai Tao Li, Jian Wang
We investigate the resummation effects in the Standard Model Higgs boson pair production at the LHC with soft-collinear effective theory. We calculate the invariant mass distribution and the total cross section at Next-to-Next-to-Leading-Logarithmic level with $\pi^2$-enhanced terms resummed, which are matched to the QCD Next-to-Leading Order results. Our results show that the resummation effects increase the Next-to-Leading Order results by about $30% \sim 40%$, and the factorization scale uncertainty is reduced to $2% \sim 3%$, which lead to increased confidence on the theoretical predictions. We also study the sensitivity of the total cross section and the invariant mass distribution to the Higgs boson self-coupling. We find that the total cross section and the invariant mass distribution shape depend strongly on the Higgs boson self-coupling, and it is possible to extract Higgs boson self-coupling from the total cross section and invariant mass distribution when the measurement precision increases at the LHC.
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http://arxiv.org/abs/1301.1245
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