Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson

Abstract

The differences between the on-shell mass and width of the Higgs boson and their pole counterparts are evaluated in leading order. For a heavy Higgs boson, they are found to be sensitive functions of the gauge parameter and become numerically large over a class of gauges that includes the unitary gauge. For a light Higgs boson, the differences remain small in all gauges. The pinch-technique mass and width are found to be close to their pole counterparts over a large range of Higgs boson masses.

9 pages (Latex), 3 figures (Postscript)

Cited by in corpus (38)

• The Standard Model as an Effective Field Theory
• Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
• The automation of next-to-leading order electroweak calculations
• The Nielsen Identities of the SM and the definition of mass
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• The Higgs Boson Lineshape
• Higgs Pseudo-Observables, Second Riemann Sheet and All That
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Width and Partial Widths of Unstable Particles in the Light of the Nielsen Identities
• Width and Partial Widths of Unstable Particles
• Inadequacy of zero-width approximation for a light Higgs boson signal
• On the Field Renormalization Constant for Unstable Particles
• Pole Mass, Width, and Propagators of Unstable Fermions
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• OMS-bar scheme of UV renormalization in the presence of unstable fundamental particles
• Higgs-Boson Production and Decay Close to Thresholds
• Electroweak pinch technique to all orders
• The electroweak form factor \hatκ(q^2) and the running of \sin^2 \hatθ_W
• The convolution formula for a decay rate
• The static hybrid potential in D dimensions at short distances
• Mass and Width of a Heavy Higgs Boson
• Vector meson dominance and the rho meson
• Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths
• The Two-Loop Pinch Technique in the Electroweak Sector
• O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks
• Gauge dependence of on-shell and pole mass renormalization prescriptions
• Dynamical symmetry breaking of $\lambda {\varphi }^4$ in two loop effective potential
• Testing nonperturbative techniques in the scalar sector of the standard model
• Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state
• Effective field theory approach to the Higgs lineshape
• A New Renormalization Scheme of Fermion Field in Standard Model
• Pole versus Breit-Wigner resonance description of the orbitally excited baryons
• Unstable Particles near Threshold
• Unstable Higgs Particle and the Equivalence Theorem
• Breit-Wigner formalism for non-Abelian theories
• A simple strategy for renormalization: QED at one-loop level
• Loops and legs beyond perturbation theory