Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$

Abstract

We present the analytic calculation of the two-loop QCD corrections to the decay width of a Higgs boson into a photon and a $Z$ boson. The calculation is carried out using integration-by-parts identities for the reduction to master integrals of the scalar integrals, in terms of which we express the amplitude. The calculation of the master integrals is performed using differential equations applied to a set of functions suitably chosen to be of uniform weight. The final result is expressed in terms of logarithms and polylogarithmic functions ${\text{Li}}_2$, ${\text{Li}}_3$, ${\text{Li}}_4$ and ${\text{Li}}_{2,2}$.

30 pages, 6 figures

References in corpus (18)

• 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
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Algorithm FIRE -- Feynman Integral REduction
• FIRE5: a C++ implementation of Feynman Integral REduction
• Lectures on differential equations for Feynman integrals
• Quark mass relations to four-loop order
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Feynman Diagrams and Differential Equations
• Iterative structure of finite loop integrals
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Higgs boson decays to $\gamma \gamma$ and $Z\gamma$ in models with Higgs extensions
• Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Calculation of the decay ${\bm H\bm\to\bm e\bar{\bm e}\bm\ga}$
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• Two-loop master integrals for non-leptonic heavy-to-heavy decays

Cited by in corpus (38)

• A portrait of the Higgs boson by the CMS experiment ten years after the discovery
• Full top quark mass dependence in Higgs boson pair production at NLO
• HDECAY: Twenty++ Years After
• 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
• Elliptic Feynman integrals and pure functions
• Higgs Boson Production and Decay at Hadron Colliders
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Transforming differential equations of multi-loop Feynman integrals into canonical form
• Decays of the neutral Higgs bosons into SM fermions and gauge bosons in the $\mathcal{C}\mathcal{P}$-violating NMSSM
• A search for the $Z\gamma$ decay mode of the Higgs boson in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Baikov-Lee Representations Of Cut Feynman Integrals
• On the reduction of generalized polylogarithms to ${\text{Li}}_n$ and ${\text{Li}}_{2,2}$ and on the evaluation thereof
• N2HDECAY: Higgs Boson Decays in the Different Phases of the N2HDM
• The Higgs boson at high $p_T$
• Mixed electroweak-QCD corrections to $e^{+}{e}^{-}\to HZ$ at Higgs factory
• Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
• Search for Higgs boson decays to a Z boson and a photon in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Higgs boson decay $h\to Z\gamma$ and muon magnetic dipole moment in the $\mu \nu$SSM
• Beyond the Standard Model Effective Field Theory: The Singlet Extended Standard Model
• General one-loop formulas for decay $h\to Z\gamma$
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Decays of Higgs Bosons in the Standard Model and Beyond
• FlexibleDecay: An automated calculator of scalar decay widths
• Next-to-leading-order QCD corrections to $e^{+}{e}^{-}\to H+\gamma$
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• Fiducial cross sections for the lepton-pair-plus-photon decay mode in Higgs production up to NNLO QCD
• Master integrals for $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $H\to Z{Z}^{\ast }$
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Next-to-leading order QCD corrections to the decay of Higgs to vector meson and Z boson
• The SM expected branching ratio for $h\to \gamma \gamma$ and an excess for $h\to Z\gamma$
• $H\to Z\gamma$ decay and $CP$ violation
• Higgs-Boson Decays: Updates
• Hypergeometric presentation for one-loop contributing to $H\to Z\gamma$
• Spin-one dark matter and gamma ray signals from the galactic center
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics