A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.
Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
8 Pith papers cite this work, alongside 157 external citations. Polarity classification is still indexing.
8
Pith papers citing it
157
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abstract
If quantum chromodynamics (QCD) is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant alpha_s and the quark masses m_q exhibit discontinuities at the flavour thresholds, which are controlled by so-called decoupling constants, zeta_g and zeta_m, respectively. Adopting the modified MS (MS-bar) scheme, we derive simple formulae which reduce the calculation of zeta_g and zeta_m to the solution of vacuum integrals. This allows us to evaluate zeta_g and zeta_m through three loops. We also establish low-energy theorems, valid to all orders, which relate the effective couplings of the Higgs boson to gluons and light quarks, due to the virtual presence of a heavy quark h, to the logarithmic derivatives w.r.t. m_h of zeta_g and zeta_m, respectively. Fully exploiting present knowledge of the anomalous dimensions of alpha_s and m_q, we thus calculate these effective couplings through four loops. Finally, we perform a similar analysis for the coupling of the Higgs boson to photons.
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representative citing papers
Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
A dyeing procedure generalizes the double copy to form factors with multiple operator insertions by mapping spurious poles to physical propagators and revealing a new scalar-ordering structure in gravity.
Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.
Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.
New high-precision MS-bar masses m_b(m_b, n_f=5)=4.1923(63) GeV, m_c(3 GeV, n_f=4)=0.9813(34) GeV, and m_s(3 GeV, n_f=4)=83.39(26) MeV from HISQ lattice QCD correlators including quenched QED.
A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.
citing papers explorer
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Dyeing form factors as amplitudes
A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
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Double copy of form factors with multiple operator insertions
A dyeing procedure generalizes the double copy to form factors with multiple operator insertions by mapping spurious poles to physical propagators and revealing a new scalar-ordering structure in gravity.
-
Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay
Soft contributions stabilize NNLO QCD corrections for S-wave color-singlet quarkonium processes, yielding better perturbative convergence and experimental agreement.
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Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.
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New high-precision $b$, $c$, and $s$ masses from pseudoscalar-pseudoscalar correlators in $n_f=4$ lattice QCD
New high-precision MS-bar masses m_b(m_b, n_f=5)=4.1923(63) GeV, m_c(3 GeV, n_f=4)=0.9813(34) GeV, and m_s(3 GeV, n_f=4)=83.39(26) MeV from HISQ lattice QCD correlators including quenched QED.
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Smooth Threshold Effects from Dimensional Regularization
A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.
- Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential