184 research outputs found
Completing the hadronic Higgs boson decay at order
We compute four-loop corrections to the hadronic decay of the Standard Model
Higgs boson which are induced by effective couplings to bottom quarks and
gluons, mediated by the top quark. Our numerical results are comparable in size
to the purely massless contributions which have been known for a few years. The
results presented in this paper complete the order corrections to
the hadronic Higgs boson decay.Comment: 15 pages, 2 figure
Hadronic Higgs boson decay at order and
We compute corrections to the decay of the Standard Model Higgs boson to
hadrons, to the fourth order in the strong coupling constant . We use
an effective theory in which the Higgs boson couples directly to bottom quarks
and to gluons, via top quark--mediated effective couplings. Numerically, our
results are of a comparable size to the previously-known "massless"
contributions and complete the order corrections to the hadronic
decay of the Higgs boson. In these proceedings we also provide an independent
cross check of the gluonic Higgs boson decay at order .Comment: 6 pages, 0 figures. Contribution to the proceedings of the XXV
International Workshop on Deep-Inelastic Scattering and Related Topics
(DIS2017), 3-7 April 2017, University of Birmingham, UK. V2: Reference adde
at four loops in QED
We review the four-loop QED corrections to the anomalous magnetic moment of
the muon. The fermionic contributions with closed electron and tau
contributions are discussed. Furthermore, we report on a new independent
calculation of the universal four-loop contribution and compare with existing
results.Comment: 6 pages, Contribution to the proceedings of the International
workshop on e+e- collisions from Phi to Psi 2017, v2: references adde
-on-shell quark mass relation up to four loops in QCD and a general SU gauge group
In this paper we compute the relation between heavy quark masses defined in
the modified minimal subtraction and on-shell scheme. Detailed results are
presented for all coefficients of the SU colour factors. The reduction
of the four-loop on-shell integrals is performed for a general QCD gauge
parameter. Some of the about 380 master integrals are computed analytically,
others with high numerical precision based on Mellin-Barnes representations,
and the rest numerically with the help of {\tt FIESTA}. We discuss in detail
the precise numerical evaluation of the four-loop master integrals. Updated
relations between various short-distance masses and the
quark mass to next-to-next-to-next-to-leading order accuracy are provided for
the charm, bottom and top quark. We discuss the dependence on the
renormalization and factorization scale.Comment: 53 pages, 11 figures, v2: minor changes, references added,
corresponds to published versio
Completing the hadronic Higgs boson decay at order α
We compute four-loop corrections to the hadronic decay of the Standard Model Higgs boson which are
induced by effective couplings to bottom quarks and gluons, mediated by the top quark. Our numerical
results are comparable in size to the purely massless contributions which have been known for a few years.
The results presented in this paper complete the order α corrections to the hadronic Higgs boson decay
: analytic two-loop results for the low- and high-energy regions
We compute next-to-leading order virtual two-loop corrections to the process
in the low- and high-energy limits, considering the contributions
with virtual top quarks. Analytic results for all 20 form factors are presented
including expansion terms up to and . We use a Pad\'e
approximation procedure to extend the radius of convergence of the high-energy
expansion and apply this approach to the fini\ te virtual next-to-leading order
corrections.Comment: 31 page
Double Higgs boson production at NLO in the high-energy limit: complete analytic results
We compute the NLO virtual corrections to the partonic cross section of
, in the high energy limit. Finite Higgs boson mass effects are taken
into account via an expansion which is shown to converge quickly. We obtain
analytic results for the next-to-leading order form factors which can be used
to compute the cross section. The method used for the calculation of the
(non-planar) master integrals is described in detail and explicit results are
presented.Comment: 26 pages, v2: minor corrections, references added, published versio
Double-Higgs boson production in the high-energy limit: planar master integrals
We consider the virtual corrections to the process at NLO in the
high energy limit and compute the corresponding planar master integrals in an
expansion for small top quark mass. We provide details on the evaluation of the
boundary conditions and present analytic results expressed in terms of harmonic
polylogarithms.Comment: 25 page
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