BSM Master Formula for $\varepsilon'/\varepsilon$ in the WET Basis at NLO in QCD

Aebischer, Jason; Bobeth, Christoph; Buras, Andrzej J.; Kumar, Jacky

doi:10.48550/arxiv.2107.12391

Cited by 5 publications

(7 citation statements)

References 28 publications

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“…The QCD and QED RG evolution of the WET at one-loop for the complete WET Lagrangian has been known already for some time [146,147]. Recently the QCD RG evolution in WET has been extended to NLO for ∆F = 2 and ∆F = 1 non-leptonic decays in [148] and [149,150], respectively. The QCD evolution in the SMEFT for ∆F = 1 decays are known only at the LO but for non-leptonic ∆F = 2 transitions an NLO analysis has just been completed [151].…”

Section: Smeftmentioning

confidence: 99%

On the Importance of Rare Kaon Decays: A Snowmass 2021 White Paper

Aebischer¹,

Buras²,

Kumar³

2022

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We stress the importance of precise measurements of rare decays K + → π + ν ν, K L → π 0 ν ν, K L,S → µ + µ − and K L,S → π 0 + − for the search of new physics (NP). This includes both branching ratios and the distributions in q 2 , the invariant mass-squared of the neutrino system in the case of K + → π + ν ν and K L → π 0 ν ν and of the + − system in the case of the remaining decays. In particular the correlations between these observables and their correlations with the ratio ε /ε in K L → ππ decays, the CPviolating parameter ε K and the K 0 − K0 mass difference ∆M K , should help to disentangle the nature of possible NP. We stress the strong sensitivity of all observables with the exception of ∆M K to the CKM parameter |V cb | and list a number of |V cb |-independent ratios within the SM which exhibit rather different dependences on the angles β and γ of the unitarity triangle. The particular role of these decays in probing very short distance scales far beyond the ones explored at the LHC is emphasized. In this context the role of the Standard Model Effective Field Theory (SMEFT) is very important. We also address briefly the issue of the footprints of Majorana neutrinos in K + → π + ν ν and K L → π 0 ν ν.

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Section: Smeftmentioning

confidence: 99%

On the Importance of Rare Kaon Decays: A Snowmass 2021 White Paper

Aebischer¹,

Buras²,

Kumar³

2022

Preprint

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“…The presented method has been already used successfully in several contexts such as NLO basis transformations [11,18,19], one-loop matching calculations [20] as well as in several two-loop calculations [10]. But it has not been presented in any detail and in particular in this generality in the literature so far.…”

Section: Discussionmentioning

confidence: 99%

Simple Rules for Evanescent Operators in One-Loop Basis Transformations

Aebischer¹,

Buras²,

Kumar³

2022

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Basis transformations often involve Fierz and other relations which are only valid in D = 4 dimensions. In general D space-time dimensions however, evanescent operators have to be introduced, in order to preserve such identities. Such evanescent operators contribute to one-loop basis transformations as well as to two-loop renormalization group running. We present a simple procedure on how to systematically change basis at the one-loop level by obtaining shifts due to evanescent operators. As an example we apply this method to derive the one-loop basis transformation from the BMU basis useful for NLO QCD calculations, to the JMS basis used in the matching to the SMEFT.

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“…In [61] we have presented for the first time the NLO master formula for the BSM part of ε /ε expressed in terms of the Wilson coefficients of all contributing operators of WET evaluated at the electroweak scale. To this end we use again JMS basis and the results from [58].…”

Section: ε /ε Beyond the Smmentioning

confidence: 99%

“…It includes the renormalization group evolution and quark-flavour threshold effects at NLO in QCD from hadronic scales, at which these matrix elements have been calculated, to the electroweak scale. This updated master formula for the BSM part of ε /ε reads reads [61]…”

Section: ε /ε Beyond the Smmentioning

confidence: 99%

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$\varepsilon'/\varepsilon$ in the Standard Model and Beyond: 2021

Buras¹

2022

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The present status of the ratio ε /ε in the Standard Model (SM) is summarized. In particular we stress the differences between three approaches that attempt to calculate ε /ε within the SM: Lattice QCD, Dual QCD and Chiral Perturbation Theory. As presently there is still a significant room left for new physics (NP) contributions, we summarize the present status of the technology that has been recently developed with the goal to analyze ε /ε and its correlations with other observables within the Weak Effective Theory (WET) and the Standard Model Effective Field Theory (SMEFT). We also make a few comments on the interpretation of the main dynamics behind the ∆I = 1/2 rule in K → ππ decays.

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BSM Master Formula for $\varepsilon'/\varepsilon$ in the WET Basis at NLO in QCD

Cited by 5 publications

References 28 publications

On the Importance of Rare Kaon Decays: A Snowmass 2021 White Paper

On the Importance of Rare Kaon Decays: A Snowmass 2021 White Paper

Simple Rules for Evanescent Operators in One-Loop Basis Transformations

$\varepsilon'/\varepsilon$ in the Standard Model and Beyond: 2021

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