“…This is similar to the calculation of Ref. [37] for the scalar Higgs boson. The amplitudes are multiplied with projectors that couple to Lorentz indices of the gluons and the four additional indices that remain after the epsilon-tensor removal [38].…”
Section: Alternative Approach To Virtual Correctionssupporting
We consider the production of intermediate-mass CP-even and CP-odd Higgs bosons in proton-proton and proton-anti-proton collisions. We extend the recently published results for the complete next-to-next-to-leading order calculation for a scalar Higgs boson to the pseudo-scalar case and present details of the calculation that might be useful for similar future investigations. The result is based on an expansion in the limit of a heavy top quark mass and a subsequent matching to the expression obtained in the limit of infinite energy. For a Higgs boson mass of 120 GeV the deviation from the infinite-top quark mass result is small. For 300 GeV, however, the next-to-next-to-leading order corrections for a scalar Higgs boson exceed the effective-theory result by about 9% which increases to 22% in the pseudo-scalar case. Thus in this mass range the effect on the total cross section amounts to about 2% and 6%, respectively, which may be relevant in future precision studies.
“…This is similar to the calculation of Ref. [37] for the scalar Higgs boson. The amplitudes are multiplied with projectors that couple to Lorentz indices of the gluons and the four additional indices that remain after the epsilon-tensor removal [38].…”
Section: Alternative Approach To Virtual Correctionssupporting
We consider the production of intermediate-mass CP-even and CP-odd Higgs bosons in proton-proton and proton-anti-proton collisions. We extend the recently published results for the complete next-to-next-to-leading order calculation for a scalar Higgs boson to the pseudo-scalar case and present details of the calculation that might be useful for similar future investigations. The result is based on an expansion in the limit of a heavy top quark mass and a subsequent matching to the expression obtained in the limit of infinite energy. For a Higgs boson mass of 120 GeV the deviation from the infinite-top quark mass result is small. For 300 GeV, however, the next-to-next-to-leading order corrections for a scalar Higgs boson exceed the effective-theory result by about 9% which increases to 22% in the pseudo-scalar case. Thus in this mass range the effect on the total cross section amounts to about 2% and 6%, respectively, which may be relevant in future precision studies.
“…Leading order mass dependence is then described by the function f 0 (ρ, 0) which can be found in Ref. [3]. In Fig.…”
Section: Partonic and Hadronic Resultsmentioning
confidence: 99%
“…It is thus very important to perform the NNLO calculation within full QCD in order to obtain reliable predictions up to NNLO accuracy. Recently two independent groups have completed this big enterprise [3,4,5,6,7]. In this contribution we briefly describe the calculation and results obtained in Refs.…”
In this contribution we consider the production of a Standard Model Higgs boson to next-to-nextto-leading order accuracy taking into account a finite top quark mass. This result improves the one based on the effective theory and is important for precise predictions of Higgs boson production both at Tevatron and LHC.
“…(14) do not leave any freedom in view of the expansion parameter which is essentially given by the inverse heavy mass. The choice of the mass in the numerator is practically irrelevant.…”
Section: Constructing Approximation Results From Expansionsmentioning
confidence: 99%
“…To illustrate the structure of the result we present in the following δΛ 2 ε for the hierarchy (h1) which is defined in Eq. (14). It is convenient to split the result into a contribution from the top quark/top squark sector and from the light quark/squark sector.…”
Section: Renormalization and Evanescent Couplingsmentioning
We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the K factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.
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