Abstract
We consider the simultaneous measurement of the Higgs (p_{t}^{H}) and the leading jet (p_{t}^{J}) transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit p_{t}^{H},p_{t}^{J}≪m_{H} up to next-to-next-to-leading-logarithmic order. This work constitutes the first simultaneous (double differential) resummation for two kinematic observables of which one involves a jet algorithm in hadronic collisions, and provides an important milestone in the theoretical understanding of joint resummations. As an application, we provide precise predictions for the Higgs transverse-momentum distribution with a veto p_{t}^{J}≤p_{t}^{J,v} on the accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider.
Highlights
We consider the simultaneous measurement of the Higgs and the leading jet transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit pHt ; pJt ≪ mH up to next-to-next-to-leading-logarithmic order
We provide precise predictions for the Higgs transverse-momentum distribution with a veto pJt ≤ pJt;v on the accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider
The thorough scrutiny of the properties of the Higgs boson [1,2] is central to the future physics program of the Large Hadron Collider (LHC)
Summary
Pier Francesco Monni,1 Luca Rottoli ,2 and Paolo Torrielli 3 We consider the simultaneous measurement of the Higgs (pHt ) and the leading jet (pJt ) transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit pHt ; pJt ≪ mH up to next-to-next-to-leading-logarithmic order. The crucial observation is that, as already stressed, in impact-parameter space the measurement function for pHt is entirely factorized, resulting in a phase factor eib⃗ ·k⃗ t for each emission k.
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