Anomalous triple gauge couplings from B-meson and kaon observables

We calculate the complete tree and one-loop matching of the dimension-six Standard Model Effective Field Theory (SMEFT) with unbroken U (3) 5 flavour symmetry to the operators of the Weak Effective Theory (WET) which are responsible for flavour changing neutral current effects among down-type quarks. We also explicitly calculate the effects of SMEFT corrections to input observables on the WET Wilson coefficients, a necessary step on the way to a well-defined, complete prediction. These results will enable high-precision flavour data to be incorporated into global fits of the SMEFT at high energies, where the flavour symmetry assumption is widespread.

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“…Our result agrees with Ref. [42] (accounting for a difference in normalisation between their operator O 3W and our operator Q W ).…”

Section: Q Wsupporting

confidence: 93%

Matching for FCNC effects in the flavour-symmetric SMEFT

Hurth

Renner

Shepherd

2019

J. High Energ. Phys.

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“…As mentioned in Section 1, these finite parts involve novel gauge-independent functions. Similar NLO matching corrections in the context of matching SMEFT onto low-energy EFTs have been also calculated for operators entering µ → eγ [22], µ → eν µνe [23], which is used to determine G F , anomalous triple gauge couplings in rare decays d j → d i + (γ, + − , νν) [24] and extensively for many ∆B = 1, 2 processes in [19]. Regarding ∆F = 2 transitions, the latter work has considered only NLO matrix elements of ψ 4 operators (O…”

Section: Nlo Contributions In Smeftmentioning

confidence: 98%

Yukawa enhancement of Z-mediated new physics in ∆S = 2 and ∆B = 2 processes

Bobeth

Buras

Celis

et al. 2017

J. High Energ. Phys.

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We discuss Yukawa-enhanced contributions from Z-mediated new physics to down-type quark ∆F = 2 processes in the framework of the standard model gaugeinvariant effective theory (SMEFT). Besides the renormalization group (RG) mixing of the Z-mediating ψ 2 H 2 D operators into ∆F = 2 operators, we include at the electroweak scale one-loop (NLO) matching corrections consistently, necessary for the removal of the matching scale dependence. We point out that the right-handed Z-mediated interactions generate through Yukawa RG mixing ∆F = 2 left-right operators, which are further enhanced through QCD RG effects and chirally enhanced hadronic matrix elements. We investigate the impact of these new effects on the known correlations between ∆F = 2 and ∆F = 1 transitions in the SMEFT framework and point out qualitative differences to previous parameterizations of Z-mediated new physics that arise for the left-handed case. We illustrate how specific models fit into our model-independent framework by using four models with vector-like quarks. We carry out model-independent analyses of scenarios with purely left-handed and purely right-handed new-physics Z couplings for each of the three sectors s → d, b → s and b → d. Specifically we discuss the correlations between ε /ε, ε K , K L → µ + µ − K + → π + νν and K L → π 0 νν in the Kaon sector, and φ s , B s → µ + µ − and B → K ( * ) (µ + µ − , νν) in the b → s sector and B d → µ + µ − in the b → d sector.

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“…The importance of flavor physics in constraining operators which modify triple gauge couplings has been studied in ref. [66]. Recall that the gauge invariant dimension-six operators are defined before EW symmetry breaking, implying that they are given in the interaction basis (as the mass basis it not yet defined).…”

Section: Gauge Invariant Operatorsmentioning

confidence: 99%

Matching of gauge invariant dimension-six operators for b → s and b → c transitions

Aebischer

Crivellin

Fael

et al. 2016

J. High Energ. Phys.

141

158

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New physics realized above the electroweak scale can be encoded in a model independent way in the Wilson coefficients of higher dimensional operators which are invariant under the Standard Model gauge group. In this article, we study the matching of the SU(3) C × SU(2) L × U(1) Y gauge invariant dimension-six operators on the standard B physics Hamiltonian relevant for b → s and b → c transitions. The matching is performed at the electroweak scale (after spontaneous symmetry breaking) by integrating out the top quark, W , Z and the Higgs particle. We first carry out the matching of the dimension-six operators that give a contribution at tree level to the low energy Hamiltonian. In a second step, we identify those gauge invariant operators that do not enter b → s transitions already at tree level, but can give relevant one-loop matching effects.

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Anomalous triple gauge couplings from B-meson and kaon observables

Cited by 32 publications

References 89 publications

Matching for FCNC effects in the flavour-symmetric SMEFT

Matching for FCNC effects in the flavour-symmetric SMEFT

Yukawa enhancement of Z-mediated new physics in ∆S = 2 and ∆B = 2 processes

Matching of gauge invariant dimension-six operators for b → s and b → c transitions

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