Theory uncertainties for Higgs mass and other searches using jet bins

By Iain W. Stewart, F. Tackmann. 2011

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Bounds on the Higgs mass from the Tevatron and LHC are determined using exclusive jet bins to maximize sensitivity. Scale variation in exclusive fixed-order predictions underestimates the perturbative uncertainty for these cross sections, due to cancellations between the perturbative corrections leading to large K factors and those that induce logarithmic sensitivity to the jet-bin boundary. To account for this, we propose that scale variation in the fixed-order calculations should be used to determine theory uncertainties for inclusive jet cross sections, whose differences yield exclusive jet cross sections. This yields a theory correlation matrix for the jet bins such that the additional uncertainty from large logarithms due to the jet boundary cancels when neighboring bins are added. This procedure is tested for H + 0, 1 jets, WW + 0 jets, and W + 0, 1, 2 jets, and found to be generally applicable. For a case where the higher-order resummation of the jet boundary corrections is known, we show that this procedure yields fixed-order uncertainties which are theoretically consistent with those obtained in the resummed calculation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c2fc2793f324c4917d2ce99df0426d4e25e0ee28

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Citations in the corpus

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC (2012, neutral): “[53, 117, 118], with the noticeable di ﬀ erence that an explicit calculation of the gluon-fusion process at NLO using MCFM [137] in the 2-jet category reduces the uncertainty on this non-negligible contribution to 25%.”
Measurements of the properties of the Higgs-like boson in the four lepton decay channel with the ATLAS detector using 25 fb$^{-1}$ of proton-proton collision data (2013, background): “The uncertainty in the ggF contamination due to the QCD scale is included in the theory cross section uncertainty [51, 82].”
Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC (2013, methodology): “…variables (chosen to be the γ γ and 4 (cid:4) mass spectra for H → γ γ and H → ZZ ∗ → 4 (cid:4) , respectively, and the m T distribution for the Table 9 For the H WW ∗ (cid:4) ν (cid:4) ν analysis of the 8 TeV data, the numbers of events observed in the data and expected from signal ( m H 125 .”
Measurements of Higgs boson properties in the diphoton decay channel with 36 fb$^{-1}$ of $pp$ collision data at $\sqrt{s} = 13$ TeV with the ATLAS detector (2018, neutral): “The uncertainty estimation uses an extension of the Stewart–Tackmann method [103, 104] and typically ranges between 20% and 32%.”
Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report (2014, methodology): “A first approach based on the combination of inclusive jet bin uncertainties was proposed by Stewart and Tackmann in [437].”
Handbook of LHC Higgs Cross Sections: 3. Higgs Properties (2013, methodology): “This can be achieved using the Stewart -Tackmann (ST) method [236].”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, background): “(A well-known example is the case of jet binning, where it is essential to treat the uncertainties induced by the jet-binning cut as anticorrelated between the jet bins [885,886].”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, methodology): “We evaluate separate fixed-order and resummation uncertainties which are added in quadrature [358, 360, 364].”