Ultra-collinear modes cancel to all orders in on-shell massive Sudakov form factors by gauge invariance, preserving SCET_II factorization, with explicit two-loop soft and jet functions computed via eta regulator and NNLL resummation.
Liu and A.A
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abstract
We study the high-energy limit of the scattering amplitudes suppressed by the leading power of the quark mass in perturbative quantum chromodynamics. We prove the factorization and perform all-order resummation of the double-logarithmic radiative corrections which determine the asymptotic behavior of the amplitudes. In contrast to the Sudakov logarithms, the mass-suppressed double-logarithmic corrections are induced by soft quark exchange. The structure of the corrections and the asymptotic behavior of the amplitudes in this case crucially depend on the color flow in a given process and are determined by the eikonal color charge nonconservation. We present explicit results for the Higgs boson production in gluon fusion mediated by a light-quark loop and for the leading power-suppressed contributions to the quark form factors, which reveal "magical" universality. Nontrivial relations between the asymptotic behavior of different amplitudes and the amplitudes in different gauge theories are found.
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Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.
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The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors
Ultra-collinear modes cancel to all orders in on-shell massive Sudakov form factors by gauge invariance, preserving SCET_II factorization, with explicit two-loop soft and jet functions computed via eta regulator and NNLL resummation.
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Analytic two-loop electroweak corrections at high energies
Analytic two-loop electroweak corrections to four-point amplitudes are computed in the high-energy limit of the Standard Model, applied to Higgs pair production where logarithmic and power corrections yield sizeable effects.