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The top quark and Higgs boson masses and the stability of the electroweak vacuum
Open accessAbstract
The ATLAS and CMS experiments observed a particle at the LHC with a mass ≈126GeV, which is compatible with the Higgs boson of the Standard Model. A crucial question is, if for such a Higgs mass value, one could extrapolate the model up to high scales while keeping the minimum of the scalar potential that breaks the electroweak symmetry stable. Vacuum stability requires indeed the Higgs boson mass to be MH≳129±1GeV, but the precise value depends critically on the input top quark pole mass which is usually taken to be the one measured at the Tevatron, mtexp=173.2±0.9GeV. However, for an unambiguous and theoretically well-defined determination of the top quark mass one should rather use the total cross section for top quark pair production at hadron colliders. Confronting the latest predictions of the inclusive pp¯→tt¯+X cross section up to next-to-next-to-leading order in QCD to the experimental measurement at the Tevatron, we determine the running mass in the MS¯-scheme to be mtMS¯(mt)=163.3±2.7GeV which gives a top quark pole mass of mtpole=173.3±2.8GeV. This leads to the vacuum stability constraint MH⩾129.4±5.6GeV to which a ≈126GeV Higgs boson complies as the uncertainty is large. A very precise assessment of the stability of the electroweak vacuum can only be made at a future high-energy electron–positron collider, where the top quark pole mass could be determined with a few hundred MeV accuracy.
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Cites
Higgs mass and vacuum stability in the Standard Model at NNLO
Degrassi, G., Di Vita, S., Elias-Miró, J., Espinosa, J. R., Giudice, G. F., Isidori, G., & Strumia, A. (2012) · Journal of High Energy Physics · doi:10.1007/jhep08(2012)098 · Cited by 1,524
Cited by
Investigating the near-criticality of the Higgs boson
Buttazzo, D., Degrassi, G., Giardino, P. P., Giudice, G. F., Sala, F., Salvio, A., & Strumia, A. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)089 · Cited by 1,095
Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
Bednyakov, A. V., Kniehl, B. A., Pikelner, A. F., & Veretin, O. L. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.201802 · Cited by 263
The cosmological Higgstory of the vacuum instability
Espinosa, J. R., Giudice, G. F., Morgante, E., Riotto, A., Senatore, L., Strumia, A., & Tetradis, N. (2015) · Journal of High Energy Physics · doi:10.1007/jhep09(2015)174 · Cited by 247
Why should we care about the top quark Yukawa coupling?
Bezrukov, F., & Shaposhnikov, M. (2015) · Journal of Experimental and Theoretical Physics · doi:10.1134/s1063776115030152 · Cited by 109
Carroll, S. M. (2017) · arXiv · doi:10.48550/arxiv.1702.00850 · Cited by 106
Bare Higgs mass at Planck scale
Hamada, Y., Kawai, H., & Oda, K.-Y. (2013) · Physical Review D · doi:10.1103/physrevd.87.053009 · Cited by 104
On the gauge dependence of the Standard Model vacuum instability scale
Di Luzio, L., & Mihaila, L. (2014) · Journal of High Energy Physics · doi:10.1007/jhep06(2014)079 · Cited by 70
The degree of fine-tuning in our universe — and others
Adams, F. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.02.001 · Cited by 62
Green’s function method for handling radiative effects on false vacuum decay
Garbrecht, B., & Millington, P. (2015) · Physical Review D · doi:10.1103/physrevd.91.105021 · Cited by 43
Hamada, Y., Kawai, H., & Kawana, K. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x14500997 · Cited by 38
Weak scale from the maximum entropy principle
Hamada, Y., Kawai, H., & Kawana, K. (2015) · Progress of Theoretical and Experimental Physics · doi:10.1093/ptep/ptv011 · Cited by 18
Metadata
- Authors
- Alekhin, S., Djouadi, A., & Moch, S.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2012-09
- Volume
- 716
- Issue
- 1
- Pages
- 214-219
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2116125044
- Cited by
- 392
- References
- 1
- FWCI
- 25.18
- Type
- journal article
- Language
- en
- Open access
- hybrid
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