Cuts for two-body decays at colliders

Abstract

Fixed-order perturbative calculations of fiducial cross sections for two-body decay processes at colliders show disturbing sensitivity to unphysically low momentum scales and, in the case of $H\to \gamma \gamma$ in gluon fusion, poor convergence. Such problems have their origins in an interplay between the behaviour of standard experimental cuts at small transverse momenta ($p_t$) and logarithmic perturbative contributions. We illustrate how this interplay leads to a factorially divergent structure in the perturbative series that sets in already from the first orders. We propose simple modifications of fiducial cuts to eliminate their key incriminating characteristic, a linear dependence of the acceptance on the Higgs or $Z$-boson $p_t$, replacing it with quadratic dependence. This brings major improvements in the behaviour of the perturbative expansion. More elaborate cuts can achieve an acceptance that is independent of the Higgs $p_t$ at low $p_t$, with a variety of consequent advantages.

arXiv comment49 pages + appendices, 17 figures. Code that implements the cuts and Higgs defiducialisation at https://github.com/gavinsalam/two-body-cuts ; v2, as accepted by JHEP, adds two new appendices, on perturbative sensitivity to low scales and on defiducialisation, as well as various further clarifications and small fixes to some numerical values

References in corpus (50)

• FastJet user manual
• PDF4LHC recommendations for LHC Run II
• Event Generation with Sherpa 2.2
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Renormalons
• Higgs boson gluon-fusion production in N3LO QCD
• Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
• Fully differential VBF Higgs production at NNLO
• Jet photoproduction at HERA
• Power corrections and renormalons in Drell-Yan production
• Giant QCD K-factors beyond NLO
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• The Drell-Yan cross section to third order in the strong coupling constant
• Parton showers beyond leading logarithmic accuracy
• Fiducial distributions in Higgs and Drell-Yan production at N${}^3$LL+NNLO
• Collider Physics at the Precision Frontier
• Measurement and QCD Analysis of Jet Cross Sections in Deep-Inelastic Positron-Proton Collisions at sqrt(s) of 300 GeV
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Electroweak corrections to dilepton + jet production at hadron colliders
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• A new approach to the Higgs transverse-momentum resummation at NNLL+NNLO
• Constraining Light-Quark Yukawa Couplings from Higgs Distributions
• MiNNLO${}_{\text{PS}}$: A new method to match NNLO QCD to parton showers
• Drell-Yan $q_T$ Resummation of Fiducial Power Corrections at N${}^3$LL
• Charged Current Drell-Yan Production at N3LO
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• Drell-Yan Lepton Angular Distribution at Small Transverse Momentum
• Light quark Yukawa couplings from Higgs kinematics
• A new approach to modelling elastic and inelastic photon-initiated production at the LHC: SuperChic 4
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Dijet rates with symmetric E_t cuts
• Problems in the resummation of soft-gluon effects in the transverse-momentum distributions of massive vector bosons in hadronic collisions
• Precise predictions for the angular coefficients in Z-boson production at the LHC
• Summations of large logarithms by parton showers
• Spin correlations in final-state parton showers and jet observables
• Dijet Cross Sections at O($\alpha {\alpha }_s^2$) in Photon-Proton Collisions
• Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
• Photoproduction of jets at HERA in next-to-leading order QCD
• Soft Gluon Resummation in Transverse Momentum Space for Electroweak Boson Production at Hadron Colliders
• Improvements on dipole shower colour
• Angular distribution of leptons from the decay of massive vector bosons
• A simple event weighting technique for optimizing the measurement of the forward-backward asymmetry of Drell-Yan dilepton pairs at hadron colliders
• Matching N3LO QCD calculations to parton showers
• Infrared Renormalons in Kinematic Distributions for Hadron Collider Processes
• Electroweak corrections to the angular coefficients in finite-$p_T$ $Z$-boson production and dilepton decay
• Power corrections to the differential Drell-Yan cross section
• Defiducialization: Providing Experimental Measurements for Accurate Fixed-Order Predictions

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• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Fiducial perturbative power corrections within the q${}_{\mathbf{T}}$ subtraction formalism
• NLO QCD corrections to polarised di-boson production in semi-leptonic final states
• Non-local slicing approaches for NNLO QCD in MCFM
• Fiducial cross sections for the lepton-pair-plus-photon decay mode in Higgs production up to NNLO QCD
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• Transverse momentum resummation at N3LL+NNLO for diboson processes
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region