On the two-loop % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYtUvga % iyaacqWFoe-taaa!462A! $$ \mathcal{O} $$ (α s 2 ) corrections to the pole mass of the t quark in the MSSM

Bednyakov, A. V.; Kazakov, D. I.; Sheplyakov, A.

doi:10.1134/s1063778808020154

Cited by 9 publications

(7 citation statements)

References 17 publications

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“…where the perturbative coefficients (∆x i ) can be found in Refs. [10,50,51], except for (∆λ) α 2 t a 2 s , which will be one of the central results of this paper. Explicit expressions for the degenerate-mass case will be given in Sect.…”

Section: Eft Calculationmentioning

confidence: 88%

“…We are grateful to Matthias Steinhauser and Luminita Mihaila for helpful communication, to Alexander Bednyakov for help with the extraction of the two-loop matching relation (∆α t ) a 2 s from the results of Ref. [50,51], and to Pietro Slavich for helpful comments on the manuscript. This research was supported in part by the Mexican CONACYT, the German DFG through grant HA 2990/6-1 and the Research Unit New Physics at the LHC (FOR 2239).…”

Section: Acknowledgmentsmentioning

confidence: 99%

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The light CP-even MSSM Higgs mass resummed to fourth logarithmic order

et al. 2018

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We present the calculation of the light neutral CP-even Higgs mass in the MSSM for a heavy SUSY spectrum by resumming enhanced terms through fourth logarithmic order (N 3 LL), keeping terms of leading order in the top Yukawa coupling α t , and NNLO in the strong coupling α s . To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order α 2 t α 2 s by comparing the perturbative EFT to the fixed-order expression for the Higgs mass. The new matching coefficient is made available through an updated version of the program Himalaya. Numerical effects of the higher-order resummation are studied using specific examples, and sources of theoretical uncertainty on this result are discussed.

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Section: Eft Calculationmentioning

confidence: 88%

Section: Acknowledgmentsmentioning

confidence: 99%

The light CP-even MSSM Higgs mass resummed to fourth logarithmic order

et al. 2018

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“…(1,2),SQCD t denote the one-loop and two-loop SUSY-QCD contributions from Refs. [51][52][53] 3 . Note, that in Ref.…”

Section: Higgs Boson Mass Prediction Uncertaintiesmentioning

confidence: 99%

Uncertainties in the lightest $$CP$$ CP even Higgs boson mass prediction in the minimal supersymmetric standard model: fixed order versus effective field theory prediction

Allanach

Voigt

2018

Eur. Phys. J. C

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We quantify and examine the uncertainties in predictions of the lightest C P even Higgs boson pole mass M h in the Minimal Supersymmetric Standard Model (MSSM), utilising current spectrum generators and including some threeloop corrections. There are two broadly different approximations being used: effective field theory (EFT) where an effective Standard Model (SM) is used below a supersymmetric mass scale, and a fixed order calculation, where the MSSM is matched to QCD × QED at the electroweak scale. The uncertainties on the M h prediction in each approach are broken down into logarithmic and finite pieces. The inferred values of the stop mass parameters are sensitively dependent upon the precision of the prediction for M h . The fixed order calculation appears to be more accurate below a supersymmetry (SUSY) mass scale of M S ≈ 1.2 TeV, whereas above this scale, the EFT calculation is more accurate. We also revisit the range of the lightest stop mass across finetuned parameter space that has an appropriate stable vacuum and is compatible with the lightest C P even Higgs boson h being identified with the one discovered at the ATLAS and CMS experiments in 2012; we achieve a maximum value of ∼ 10 11 GeV.

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“…In order to achieve that, we make use of the known two-loop SQCD contributions to the top and bottom Yukawa couplings of Refs. [51][52][53][54], as described in the following: We calculate the DR Yukawa couplings y t at the scale M Z from the DR top mass m t and the DR up-type VEV v u as…”

Section: Determination Of the Mssm Dr Parametersmentioning

confidence: 99%

Higgs mass prediction in the MSSM at three-loop level in a pure $$\overline{{\text {DR}}}$$ DR ¯ context

2017

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The impact of the three-loop effects of order α t α 2 s on the mass of the light CP-even Higgs boson in the MSSM is studied in a pure DR context. For this purpose, we implement the results of Kant et al. (JHEP 08:104, 2010) into the C++ module Himalaya and link it to FlexibleSUSY, a Mathematica and C++ package to create spectrum generators for BSM models. The three-loop result is compared to the fixed-order two-loop calculations of the original FlexibleSUSY and of FeynHiggs, as well as to the result based on an EFT approach. Aside from the expected reduction of the renormalization scale dependence with respect to the lower-order results, we find that the three-loop contributions significantly reduce the difference from the EFT prediction in the TeV-region of the SUSY scale M S . Himalaya can be linked also to other two-loop DR codes, thus allowing for the elevation of these codes to the three-loop level.

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Cited by 9 publications

References 17 publications

The light CP-even MSSM Higgs mass resummed to fourth logarithmic order

The light CP-even MSSM Higgs mass resummed to fourth logarithmic order

Uncertainties in the lightest $$CP$$ CP even Higgs boson mass prediction in the minimal supersymmetric standard model: fixed order versus effective field theory prediction

Higgs mass prediction in the MSSM at three-loop level in a pure $$\overline{{\text {DR}}}$$ DR ¯ context

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