Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics

Abstract

In this thesis, higher-order corrections to the perturbative expansions of scattering amplitudes involving the Higgs boson in the framework of Quantum Chromodynamics are evaluated, where we focus on processes that are mediated through heavy-quark loops. First, we derive the third-order corrections to the form factor describing the Yukawa coupling of a Higgs boson to a pair of bottom quarks. Furthermore, we compute the two-loop corrections to the $H\to Z\gamma$ decay width by retaining the full dependence on the internal quark mass. Finally, we describe the calculation of the planar Master Integrals relevant to the two-loop amplitude for Higgs-plus-jet production with full quark mass dependence. We accomplish this by establishing a method to derive series expansions from differential equations, since the set of Master Integrals involves elliptic structures.

arXiv commentPhD thesis, University of Zurich, 2018, 226 pages

References in corpus (185)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• Harmonic Polylogarithms
• Multiloop integrals in dimensional regularization made simple
• Jet substructure as a new Higgs search channel at the LHC
• Asymptotic expansion of Feynman integrals near threshold
• Differential Equations for Two-Loop Four-Point Functions
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Differential Equations for Feynman Graph Amplitudes
• Higgs boson gluon-fusion production in N3LO QCD
• Classical Polylogarithms for Amplitudes and Wilson Loops
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The three-loop QCD $\beta$-function and anomalous dimensions
• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Antenna Subtraction at NNLO
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Observation of Tau Neutrino Interactions
• An automatized algorithm to compute infrared divergent multi-loop integrals
• The three loop relation between the \bar {MS} and the pole quark masses
• Connection between Feynman integrals having different values of the space-time dimension
• Scalar one-loop integrals for QCD
• Numerical evaluation of multiple polylogarithms
• The analytical value of the electron (g-2) at order alpha^3 in QED
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Observation of the diphoton decay of the Higgs boson and measurement of its properties
• Infrared singularities of scattering amplitudes in perturbative QCD
• FIRE5: a C++ implementation of Feynman Integral REduction
• ZZ production at hadron colliders in NNLO QCD
• Kira - A Feynman Integral Reduction Program
• Local Integrals for Planar Scattering Amplitudes
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• A novel subtraction scheme for double-real radiation at NNLO
• Higgs boson production in bottom quark fusion at next-to-next-to-leading order
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• Calculating Scattering Amplitudes Efficiently
• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Measurement of Higgs boson production in the diphoton decay channel in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector
• Multiple polylogarithms and mixed Tate motives
• Lectures on differential equations for Feynman integrals
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• Fully differential VBF Higgs production at NNLO
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Calculation of the quark and gluon form factors to three loops in QCD
• Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
• Associated Higgs production with top quarks at the Large Hadron Collider: NLO QCD corrections
• A novel approach to integration by parts reduction
• Higgs boson production in association with a jet at next-to-next-to-leading order
• Higgs Decay to Order α_s^4
• Reduze 2 - Distributed Feynman Integral Reduction
• Quark and gluon form factors to three loops
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• FIESTA 4: optimized Feynman integral calculations with GPU support
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• Higgs Radiation off Bottom Quarks at the Tevatron and the LHC
• The elliptic dilogarithm for the sunset graph
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Standard Model Higgs-Boson Branching Ratios with Uncertainties
• Exclusive Higgs Boson Production with bottom quarks at Hadron Colliders
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Precise QCD predictions for the production of Higgs+jet final states
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Analytic treatment of the two loop equal mass sunrise graph
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Higgs production with large transverse momentum in hadronic collisions at next-to-leading order
• A new method for real radiation at NNLO
• Feynman Diagrams and Differential Equations
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Elliptic multiple zeta values and one-loop superstring amplitudes
• Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D
• Higher-Order threshold effects to inclusive processes in QCD
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Soft triple-real radiation for Higgs production at N3LO
• Sector Decomposition
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Quark-Gluon Antenna Functions from Neutralino Decay
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• QCD corrections to ZZ production in gluon fusion at the LHC
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Scalar and pseudoscalar Higgs production in association with a top-antitop pair
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Analytical and numerical methods for massive two-loop self-energy diagrams
• Numerical evaluation of phase space integrals by sector decomposition
• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• Search for a Higgs boson decaying into a Z and a photon in pp collisions at sqrt(s) = 7 and 8 TeV
• Magnus and Dyson Series for Master Integrals
• Very boosted Higgs in gluon fusion
• On the maximal cut of Feynman integrals and the solution of their differential equations
• Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
• Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation
• Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Extension of HPL to complex arguments
• Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form
• NNLO QCD corrections to Higgs boson production at large transverse momentum
• Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
• A subtraction scheme for NNLO computations
• Higgs production in association with bottom quarks
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
• The two-loop helicity amplitudes for $q{\bar{q}}^{\prime }\to V_1{V}_2\to 4\mathrm{leptons}$
• High-Energy Approximation of One-Loop Feynman Integrals
• The kite integral to all orders in terms of elliptic polylogarithms
• The $\epsilon$-form of the differential equations for Feynman integrals in the elliptic case
• NLO QCD corrections to Higgs boson plus jet production with full top-quark mass dependence
• Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra
• Search for High Mass Top Quark Production in p anti-p Collisions at S**(1/2) = 1.8 TeV
• Next-to-leading Corrections to the Higgs Boson Transverse Momentum Spectrum in Gluon Fusion
• Multiple Elliptic Polylogarithms
• A quasi-finite basis for multi-loop Feynman integrals
• Top-mass effects in differential Higgs production through gluon fusion at order α_s^4
• QCD corrections to $W^{+}{W}^{-}$ production through gluon fusion
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• The N-jettiness soft function at next-to-next-to-leading order
• Drell-Yan Production at Threshold to Third Order in QCD
• The two-loop soft current in dimensional regularization
• epsilon: A tool to find a canonical basis of master integrals
• Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Probing Higgs couplings with high p_T Higgs production
• Three-mass triangle integrals and single-valued polylogarithms
• Single soft gluon emission at two loops
• Sharpening The Leading Singularity
• An Elliptic Generalization of Multiple Polylogarithms
• The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD
• Search for Higgs boson decays to a photon and a Z boson in pp collisions at sqrt(s)=7 and 8 TeV with the ATLAS detector
• Transforming differential equations of multi-loop Feynman integrals into canonical form
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
• Higher-order QCD effects for associated WH production and decay at the LHC
• Solving differential equations for Feynman integrals by expansions near singular points
• Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms
• Second-order QCD effects in Higgs boson production through vector boson fusion
• The quark and gluon form factors to three loops in QCD through to O(eps^2)
• The Master Differential Equations for the 2-loop Sunrise Selfmass Amplitudes
• Probing the nature of the Higgs-gluon coupling
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Higgs bosons with large transverse momentum at the LHC
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
• Associated production of a Higgs boson decaying into bottom quarks at the LHC in full NNLO QCD
• The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO
• Higgs Boson Production and Decay: Dalitz Sector
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• FORM version 4.2
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$
• Higgs plus jet production in bottom quark annihilation at next-to-leading order
• Bottom quark mass and alpha_s from the Upsilon system
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Top-bottom interference effects in Higgs plus jet production at the LHC
• Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions
• NLO Higgs+jet at large transverse momenta including top quark mass effects
• The Higgs boson at high $p_T$
• Hypergeometric representation of the two-loop equal mass sunrise diagram
• NNLO QCD corrections to associated $WH$ production and $H\to b\bar{b}$ decay
• Jet-veto in bottom-quark induced Higgs production at next-to-next-to-leading order
• Higgs production in bottom quark annihilation: Transverse momentum distribution at NNLO+NNLL
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Full mass dependence in Higgs boson production in association with jets at the LHC and FCC
• Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
• Finding Linear Dependencies in Integration-By-Parts Equations: A Monte Carlo Approach
• Higgs boson production in association with three jets via gluon fusion at the LHC: Gluonic contributions
• Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
• Three-loop massive tadpoles and polylogarithms through weight six
• Master Equations for Master Amplitudes
• Loopedia, a Database for Loop Integrals
• Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals