Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 385

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Asymptotic safety of gravity and the Higgs boson mass

Open access
Shaposhnikov, Mikhail, Wetterich, Christof·2010·Physics Letters B
DOI 10.1016/j.physletb.2009.12.022
Open this paper in CoChat — free account

Abstract

There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the case and assuming that there are no intermediate energy scales between the Fermi and Planck scales we address the question of whether the mass of the Higgs boson mH can be predicted. For a positive gravity induced anomalous dimension Aλ>0 the running of the quartic scalar self interaction λ at scales beyond the Planck mass is determined by a fixed point at zero. This results in mH=mmin=126 GeV, with only a few GeV uncertainty. This prediction is independent of the details of the short distance running and holds for a wide class of extensions of the SM as well. For Aλ<0 one finds mH in the interval mmin 0 is favored by explicit computations existing in the literature.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/j.physletb.2009.12.022

Cites

2 of 2 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 2 references

Research works printed but not linked: 47

  1. Wilson, 1974, Phys. Rep., 12, 75, 10.1016/0370-1573(74)90023-4 · DOI · Paper page
  2. Polchinski, 1984, Nucl. Phys. B, 231, 269, 10.1016/0550-3213(84)90287-6 · DOI · Paper page
  3. Reuter, 1998, Phys. Rev. D, 57, 971, 10.1103/PhysRevD.57.971 · DOI · Paper page
  4. Codello, 2009, Ann. Phys., 324, 414, 10.1016/j.aop.2008.08.008 · DOI · Paper page
  5. Berges, 2002, Phys. Rep., 363, 223, 10.1016/S0370-1573(01)00098-9 · DOI · Paper page
  6. Ambjorn, 2004, Phys. Rev. Lett., 93, 131301, 10.1103/PhysRevLett.93.131301 · DOI · Paper page
  7. Niedermaier, 2009, Phys. Rev. Lett., 103, 101303, 10.1103/PhysRevLett.103.101303 · DOI
  8. Percacci, 2003, Phys. Rev. D, 68, 044018, 10.1103/PhysRevD.68.044018 · DOI · Paper page
  9. Ebert, 2008, Phys. Lett. B, 660, 579, 10.1016/j.physletb.2008.01.037 · DOI
  10. Robinson, 2006, Phys. Rev. Lett., 96, 231601, 10.1103/PhysRevLett.96.231601 · DOI · Paper page
  11. Pietrykowski, 2007, Phys. Rev. Lett., 98, 061801, 10.1103/PhysRevLett.98.061801 · doi:10.1103/physrevlett.98.061801
  12. Toms, 2007, Phys. Rev. D, 76, 045015, 10.1103/PhysRevD.76.045015 · DOI
  13. Toms, 2008, Phys. Rev. Lett., 101, 131301, 10.1103/PhysRevLett.101.131301 · DOI
  14. Boyarsky, 2009, Annu. Rev. Nucl. Part. Sci., 59, 191, 10.1146/annurev.nucl.010909.083654 · DOI · Paper page
  15. Wetterich, 1988, Nucl. Phys. B, 302, 668, 10.1016/0550-3213(88)90193-9 · DOI · Paper page
  16. Wetterich, 1988, Nucl. Phys. B, 302, 645, 10.1016/0550-3213(88)90192-7 · DOI · Paper page
  17. Wetterich, 2003, Phys. Rev. Lett., 90, 231302, 10.1103/PhysRevLett.90.231302 · DOI
  18. Wetterich, 2009, Phys. Rev. Lett., 102, 141303, 10.1103/PhysRevLett.102.141303 · DOI
  19. Shaposhnikov, 2009, Phys. Lett. B, 671, 187, 10.1016/j.physletb.2008.11.054 · DOI · Paper page
  20. Shaposhnikov, 2009, Phys. Lett. B, 671, 162, 10.1016/j.physletb.2008.11.041 · doi:10.1016/j.physletb.2008.11.041
  21. Bezrukov, 2008, Phys. Lett. B, 659, 703, 10.1016/j.physletb.2007.11.072 · DOI · Paper page
  22. Wetterich, 1981, Phys. Lett. B, 104, 269, 10.1016/0370-2693(81)90124-6 · doi:10.1016/0370-2693(81)90124-6
  23. Maiani, 1978, Nucl. Phys. B, 136, 115, 10.1016/0550-3213(78)90018-4 · DOI · Paper page
  24. Cabibbo, 1979, Nucl. Phys. B, 158, 295, 10.1016/0550-3213(79)90167-6 · DOI · Paper page
  25. Lüscher, 1987, Nucl. Phys. B, 290, 25, 10.1016/0550-3213(87)90177-5 · doi:10.1016/0550-3213(87)90177-5
  26. Papenbrock, 1995, Z. Phys. C, 65, 519, 10.1007/BF01556140 · DOI
  27. Amsler, 2008, Phys. Lett. B, 667, 1, 10.1016/j.physletb.2008.07.018 · DOI · Paper page
  28. Shapiro, 1989, Class. Quantum. Grav., 6, 1197, 10.1088/0264-9381/6/8/019 · DOI
  29. Lindner, 1986, Z. Phys. C, 31, 295, 10.1007/BF01479540 · DOI · Paper page
  30. Krasnikov, 1978, Yad. Fiz., 28, 549
  31. Hung, 1979, Phys. Rev. Lett., 42, 873, 10.1103/PhysRevLett.42.873 · DOI · Paper page
  32. Politzer, 1979, Phys. Lett. B, 82, 242, 10.1016/0370-2693(79)90746-9 · DOI · Paper page
  33. Politzer, 1979, Phys. Lett. B, 83, 421, 10.1016/0370-2693(79)91144-4 · doi:10.1016/0370-2693(79)91144-4
  34. Bezrukov, 2009, JHEP, 0907, 089, 10.1088/1126-6708/2009/07/089 · DOI · Paper page
  35. Ellis, 2009, Phys. Lett. B, 679, 369, 10.1016/j.physletb.2009.07.054 · DOI · Paper page
  36. Altarelli, 1994, Phys. Lett. B, 337, 141, 10.1016/0370-2693(94)91458-3 · DOI · Paper page
  37. Casas, 1995, Phys. Lett. B, 342, 171, 10.1016/0370-2693(94)01404-Z · DOI · Paper page
  38. Casas, 1996, Phys. Lett. B, 382, 374, 10.1016/0370-2693(96)00682-X · DOI · Paper page
  39. Hambye, 1997, Phys. Rev. D, 55, 7255, 10.1103/PhysRevD.55.7255 · DOI · Paper page
  40. Griguolo, 1995, Phys. Rev. D, 52, 5787, 10.1103/PhysRevD.52.5787 · DOI
  41. Coleman, 1973, Phys. Rev. D, 7, 1888, 10.1103/PhysRevD.7.1888 · DOI · Paper page
  42. Luo, 2003, Phys. Rev. Lett., 90, 011601, 10.1103/PhysRevLett.90.011601 · DOI · Paper page
  43. Bezrukov, 2009, Phys. Lett. B, 675, 88, 10.1016/j.physletb.2009.03.035 · DOI · Paper page
  44. De Simone, 2009, Phys. Lett. B, 678, 1, 10.1016/j.physletb.2009.05.054 · DOI · Paper page
  45. Froggatt, 1996, Phys. Lett. B, 368, 96, 10.1016/0370-2693(95)01480-2 · DOI · Paper page
  46. Wetterich, 1984, Phys. Lett. B, 140, 215, 10.1016/0370-2693(84)90923-7 · doi:10.1016/0370-2693(84)90923-7
  47. Bornholdt, 1992, Phys. Lett. B, 282, 399, 10.1016/0370-2693(92)90659-R · DOI

Cited by

See all 385

Metadata

Authors
Shaposhnikov, M., & Wetterich, C.
Venue
Physics Letters B
Publisher
Elsevier BV
Published
2010-01
Volume
683
Issue
2-3
Pages
196-200
ISSN
0370-2693 (ISSN-L)
DOI
10.1016/j.physletb.2009.12.022
OpenAlex
W2156804507
Cited by
385
References
2
FWCI
7.14
Type
journal article
Language
en
Open access
hybrid
Licence
Funders
  • Swiss National Science Foundation
  • Alexander von Humboldt Foundation

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Asymptotic safety of gravity and the Higgs boson mass. https://app.cochat.ai/papers/10.1016/j.physletb.2009.12.022
The paper
Shaposhnikov, M., & Wetterich, C. (2010). Asymptotic safety of gravity and the Higgs boson mass. Physics Letters B. https://doi.org/10.1016/j.physletb.2009.12.022

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.