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Continuum methods in lattice perturbation theory
Thomas Becher, Kirill Melnikov
We show how methods of continuum perturbation theory can be used to simplify perturbative lattice calculations. We use the technique of asymptotic expansions to expand lattice loop…
NLO Higgs boson rapidity distribution at hadron colliders
Charalampos Anastasiou, Lance Dixon, Kirill Melnikov
We describe a new method, based on an extension of the unitarity cutting rules proposed earlier, which is very efficient for the algorithmic evaluation of phase-space integrals for…
The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit
Thomas Becher, Kirill Melnikov
We present a method of computing any one-loop integral in lattice perturbation theory by systematically expanding around its continuum limit. At any order in the expansion in the l…
Relating bottom quark mass in DR-bar and MS-bar regularization schemes
H. Baer, J. Ferrandis, K. Melnikov +1
The value of the bottom quark mass at M_Z in the DR-bar scheme is an important input for the analysis of supersymmetric models with a large value of tan(beta). Conventionally, howe…
Higgs boson production at hadron colliders in NNLO QCD
Charalampos Anastasiou, Kirill Melnikov
We compute the total cross-section for direct Higgs boson production in hadron collisions at NNLO in perturbative QCD. A new technique which allows us to perform an algorithmic eva…
On Unitary Evolution of a Massless Scalar Field In A Schwarzschild Background: Hawking Radiation and the Information Paradox
Kirill Melnikov, Marvin Weinstein
We develop a Hamiltonian formalism which can be used to discuss the physics of a massless scalar field in a gravitational background of a Schwarzschild black hole. Using this forma…
O(α^2 \ln(m_μ/m_e)) Corrections to Electron Energy Spectrum in Muon Decay
Andrej Arbuzov, Kirill Melnikov
O(α^2 \ln(m_μ/m_e)) corrections to electron energy spectrum in muon decay are computed using perturbative fragmentation function approach. The magnitude of these corrections is com…