Static quantities in Weinberg's model of weak and electromagnetic interactions

Bardeen, William A.; Gastmans, R.; Lautrup, B.

doi:10.1016/0550-3213(72)90218-0

Cited by 342 publications

(199 citation statements)

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“…The one-loop charged Higgs contribution to a µ was studied previously [23,24] and it was found that to accommodate the value of ∆a µ in Eq. (4) or (5), m H + has to be less than a few GeV even with a large tan β [7].…”

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confidence: 99%

“…Hence, the light charged Higgs is still viable in some of SUSY models and it could be reachable in future collider searches. In the following we shall concentrate on a generic charged Higgs in models with SUSY, whose lower mass limit is only constrained by the LEP experiments [22], i.e.,The one-loop charged Higgs contribution to a µ was studied previously [23,24] and it was found that to accommodate the value of ∆a µ in Eq. (4) or (5), m H + has to be less than a few GeV even with a large tan β [7].…”

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confidence: 99%

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The muon anomalous magnetic moment from a generic charged Higgs with SUSY

Chen

Geng

2001

Physics Letters B

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We study the contribution of a generic charged Higgs (H + ) to the muon anomalous magnetic moment a µ with the SUSY soft breaking parameters. We find out that the deviation between the experimental data and the predicted SM value on a µ can be explained by the two-loop charged Higgs diagrams even with m H + ∼ 400 GeV .It is believed that the muon anomalous magnetic moment, a µ ≡ (g µ −2)/2, would provide precision tests of the standard model (SM) and probe for new physics [1]. Recently, it has been measured at BNL [2] with the data a exp µ = 116 592 023(151) × 10 −11 .(1)The experimental value in Eq. (1) differs from that in the SM [2] despite of the several different theoretical predictions from hadronic contributions [3,4]. In Ref.[2], it was reported that ∆a µ ≡ a exp µ − a SM µ = 426 ± 165 × 10 −11 ,while a recent calculation [4] based on a different estimation from the hadronic part gave ∆a µ = 375 ± 170 × 10 −11 .The values in Eqs. (2) and (3) indicate a window for new physics at 2.6σ and 2.2σ levels, which are translated into 215 × 10 −11 ≤ ∆a µ ≤ 637 × 10 −11 (90% CL) ,andrespectively. It is clear that both ranges in Eqs. (4) and (5) suggest the existence of new physics beyond the SM. However, one must caution about this less than 3σ result until the experiment of E821 at BNL is completed, which should increase the statistical significance at more than 6σ level [5], and the theoretical uncertainties from the hadronic part in a SM µ are further reduced. Recently, various models, such as those with SUSY, scalar bosons, and extra dimensions, which could lead to ∆a µ = O(400 × 10 −11 ) have been explored [1,6,7,8]. In particular, it is discussed extensively to use scalar Higgs bosons in SUSY-like theories as the viable candidates. In Refs. [7,8], the possibilities of using light neutral Higgs bosons with a large tanβ to account ∆a µ at the one-and two-loop levels were studied. It is known that a large tanβ is interesting theoretically since the unification of bottom and tau Yukawa couplings and the explanation of the top to the bottom mass ratio are realized in GUTs if tanβ ∼ O(50) [9]. With this possible large tanβ, it is found that the mass for the scalar boson has to be less than 5 GeV [7] and that for the pseudoscalar 75 GeV with including the Barr-Zee type [10] of the two-loop diagrams [8]. One may conclude that ∆a µ cannot arise from either a scalar or pseudoscalar in the minimal supersymmetric model (MSSM) due to the experimental limits on the scalar and pseudoscalar masses, which are in the ranges of 85 − 95 GeV [11,12,13].In this paper, we would like to examine whether it is possible to use a charged Higgs boson in SUSY models to induce ∆a µ beyond the one loop level. It is known that the challenge with a charged Higgs in theories is how to escape the constraint from the experimental value of B(B → X s γ) = 2.85 ± 0.41 × 10 −4 [14] which is consistent with that of 3.29 ± 0.33 × 10 −4 predicted in the SM. Following the analysis of [15,16] with the next-to-leading order (NLO) QCD corrections, ...

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confidence: 99%

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confidence: 99%

The muon anomalous magnetic moment from a generic charged Higgs with SUSY

Chen

Geng

2001

Physics Letters B

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“…As far as ∆Q and ∆κ are concerned, the former always decouples for a large mass of a particle running in the loop since its Lorentz structure is generated by a nonrenormalizable dimension-six operator; on the contrary, ∆κ may be sensitive to nondecoupling effects as the Lorentz structure associated with this quantity is induced by a renormalizable dimension-four operator. In this context, the decoupling properties of ∆Q and ∆κ have been discussed in the context of all of the renormalizable theories considered up to now in the literature [2,7]. For instance, in the SM the heavy Higgs mass limit yields ∆Q → 0 and ∆κ → a [2].…”

Section: Discussionmentioning

confidence: 99%

“…For instance, the contribution from the SM W ± W ∓ H 0 vertex was calculated in Ref. [2], in which case ∆κ ∼ a and ∆Q ∼ 10 −2 a for values of m H in the same range considered for m H ± in Figs. 3 and 4.…”

Section: Discussionmentioning

confidence: 99%

“…The SM contributions to ∆κ and ∆Q were calculated in Ref. [2] for massless fermions, and the top quark contribution was presented in [3]. The sensitivity of these quantities to new physics effects has also been analyzed in some SM extensions, such as the two-Higgs-doublet model (THDM) [4], supersymmetric theories [5], left-right symmetric models [6], SU (3) × SU (3) × U (1) models [7], and models with composite particles [8] and an extra gauge boson Z ′ [9].…”

Section: Introductionmentioning

confidence: 99%

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H±W∓Zcontribution to the static quantities of theWboson in the context of Higgs-triplet theories

Tavares‐Velasco

Toscano

2004

Phys. Rev. D

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We calculate the one-loop contribution from the H ± W ∓ Z coupling to the static electromagnetic properties of the W boson. Although this coupling is absent at the tree-level in all Higgs-doublet models, it can be induced at this order in models including Higgs-triplet representations. It is found that the H ± W ∓ Z contribution can be as important as those arising from other couplings including Higgs bosons, such as the standard model coupling W ± W ∓ H or the two-Higgs-doublet model couplings H ± W ∓ φ 0 and W ± W ∓ φ 0 , with φ 0 = h, H and A.

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Renormalization

2008

Gauge Field Theories

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Static quantities in Weinberg's model of weak and electromagnetic interactions

Cited by 342 publications

References 15 publications

The muon anomalous magnetic moment from a generic charged Higgs with SUSY

The muon anomalous magnetic moment from a generic charged Higgs with SUSY

H±W∓Zcontribution to the static quantities of theWboson in the context of Higgs-triplet theories

Renormalization

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