14 research outputs found
Adequate bases of phase space master integrals for at NNLO and beyond
We study master integrals needed to compute the Higgs boson production cross
section via gluon fusion in the infinite top quark mass limit, using a
canonical form of differential equations for master integrals, recently
identified by Henn, which makes their solution possible in a straightforward
algebraic way. We apply the known criteria to derive such a suitable basis for
all the phase space master integrals in afore mentioned process at
next-to-next-to-leading order in QCD and demonstrate that the method is
applicable to next-to-next-to-next-to-leading order as well by solving a
non-planar topology. Furthermore, we discuss in great detail how to find an
adequate basis using practical examples. Special emphasis is devoted to master
integrals which are coupled by their differential equations.Comment: 33 pages, 6 figure
Phasenraum-Masterintegrale zur Berechnung der Higgsproduktion in Gluonfusion
In dieser Arbeit wurden Phasenraum-Masterintegrale berechnet. Diese finden im Rahmen der Higgsproduktion in Gluonfusion Anwendung
Simultaneous decoupling of bottom and charm quarks
We compute the decoupling relations for the strong coupling, the light quark
masses, the gauge-fixing parameter, and the light fields in QCD with heavy
charm and bottom quarks to three-loop accuracy taking into account the exact
dependence on . The application of a low-energy theorem allows the
extraction of the three-loop effective Higgs-gluon coupling valid for
extensions of the Standard Model with additional heavy quarks from the
decoupling constant of .Comment: 30 page
Exact results for qq′ H + X
We compute the contribution to the total cross section for the inclusive production of a Standard Model Higgs boson induced by two quarks with different flavour in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. We describe the reduction to master integrals, the construction of a canonical basis, and the solution of the corresponding differential equations. Our analytic result contains both Harmonic Polylogarithms and iterated integrals with additional letters in the alphabet