Higgs boson mass in the standard model at two-loop order and beyond

Martin, Stephen P.; Robertson, David G.

doi:10.1103/physrevd.90.073010

Cited by 48 publications

(90 citation statements)

References 83 publications

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“…for precision electroweak quantities (for a recent review see ref. [1]) or a detailed understanding of the Higgs potential and its stability [2]. In this article, the calculation of general three-loop vacuum integrals is considered, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…For the most complicated case, the six-propagator master integral, one may construct a two-dimensional integral in terms of elementary functions. 2 Note that in some applications it may be necessary to evaluate the master integrals to higher orders in ǫ. This happens when a master integral is multiplied by a coefficient that has poles in 1/ǫ.…”

Section: Introductionmentioning

confidence: 99%

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Three-loop vacuum integrals with arbitrary masses

Freitas

2016

J. High Energ. Phys.

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Three-loop vacuum integrals are an important building block for the calculation of a wide range of three-loop corrections. Until now, analytical results for integrals with only one and two independent mass scales are known, but in the electroweak Standard Model and many extensions thereof, one often encounters more mass scales of comparable magnitude. For this reason, a numerical approach for the evaluation of three-loop vacuum integrals with arbitrary mass pattern is proposed here. Concretely, one can identify a basic set of three master integral topologies. With the help of dispersion relations, each of these can be transformed into one-dimensional or, for the most complicated case, two-dimensional integrals in terms of elementary functions, which are suitable for efficient numerical integration.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-loop vacuum integrals with arbitrary masses

Freitas

2016

J. High Energ. Phys.

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“…The two-loop potential has been evaluated in the SM [40] and in general theories [41] in the Landau gauge. We validated our implementation against the publicly available code SMH [42]. The evaluation of the general two-loop beta functions…”

Section: Renormalization Group and The Effective Potentialmentioning

confidence: 99%

Solving the wrong hierarchy problem

Blinov

Hook

2016

J. High Energ. Phys.

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Many theories require augmenting the Standard Model with additional scalar fields with large order one couplings. We present a new solution to the hierarchy problem for these scalar fields. We explore parity-and Z 2 -symmetric theories where the Standard Model Higgs potential has two vacua. The parity or Z 2 copy of the Higgs lives in the minimum far from the origin while our Higgs occupies the minimum near the origin of the potential. This approach results in a theory with multiple light scalar fields but with only a single hierarchy problem, since the bare mass is tied to the Higgs mass by a discrete symmetry. The new scalar does not have a new hierarchy problem associated with it because its expectation value and mass are generated by dimensional transmutation of the scalar quartic coupling. The location of the second Higgs minimum is not a free parameter, but is rather a function of the matter content of the theory. As a result, these theories are extremely predictive. We develop this idea in the context of a solution to the strong CP problem. We show this mechanism postdicts the top Yukawa to be within 1σ of the currently measured value and predicts scalar color octets with masses in the range 9-200 TeV.

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“…[44], to which the reader is therefore referred for some more details, in a (perhaps futile) attempt to avoid triggering the arXiv's self-plagiarism detector. The Tarasov algorithm [51] is used to reduce the 2-loop integrals to a basis set.…”

Section: W Boson Complex Pole Mass At 2-loop Ordermentioning

confidence: 99%

“…( At the present time, the pure MS scheme is not quite competitive in numerical accuracy with the on-shell or hybrid schemes for the W -boson mass calculation (although it is for the Higgs boson mass, which has been obtained to 2-loop order with the leading 3-loop corrections [44,45]). However, as the technology for loop calculations improves, it is quite possible that this will change.…”

Section: Introductionmentioning

confidence: 97%

Pole mass of theWboson at two-loop order in the pureMS¯scheme

Martin

2015

Phys. Rev. D

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I provide a calculation at full two-loop order of the complex pole squared mass of the W boson in the Standard Model in the pure MS renormalization scheme, with Goldstone boson mass effects resummed. This approach is an alternative to earlier ones that use on-shell or hybrid renormalization schemes. The renormalization scale dependence of the real and imaginary parts of the resulting pole mass are studied. Both deviate by about ±4 MeV from their median values as the renormalization scale is varied from 50 GeV to 200 GeV, but the theory error is likely larger. A surprising feature of this scheme is that the 2-loop QCD correction has a larger scale-dependence, but a smaller magnitude, than the 2-loop non-QCD correction, unless the renormalization scale is chosen very far from the top-quark mass.

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Higgs boson mass in the standard model at two-loop order and beyond

Cited by 48 publications

References 83 publications

Three-loop vacuum integrals with arbitrary masses

Three-loop vacuum integrals with arbitrary masses

Solving the wrong hierarchy problem

Pole mass of theWboson at two-loop order in the pureMS¯scheme

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