Continuum limit of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>K</mml:mi></mml:msub></mml:math>from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>flavor domain wall QCD

Aoki, Yasumichi; Arthur, Rangel; Blum, Thomas; Boyle, P. A.; Brömmel, Dirk; Christ, Norman H.; Dawson, C.; Izubuchi, Taku; Jung, Chulwoo; Kelly, Christopher; Kenway, R.D.; Lightman, Matthew; Mawhinney, Robert D.; Ohta, Shigemi; Sachrajda, Christopher; Scholz, Enno E.; Soni, Amarjit; Sturm, Christian; Wennekers, Jan; Zhou, R.

doi:10.1103/physrevd.84.014503

Cited by 69 publications

(93 citation statements)

References 62 publications

(84 reference statements)

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“…We also carry out non-perturbative matching using the RI/SMOM scheme [22,25]. This scheme has reduced sensitivity to the infrared and in particular the pole behavior in (3.3) is absent.…”

Section: Pos(lattice 2013)400mentioning

confidence: 99%

“…These ensembles are described in detail in [22,23], and the simu- Table 1: N f = 2 + 1 DWF ensemble parameters used in the present study. We use unquenched light quarks and partially quenched heavy (strange) quarks, with the heavy masses straddling the physical strange mass.…”

Section: Low-energy Matrix Elementsmentioning

confidence: 99%

“…Once the relevant renormalization factors have been non-perturbatively determined, we convert them to the MS scheme using continuum perturbation theory [22,26,27]. Both the renormalization and matching are carried out at a scale of 3 GeV.…”

Section: Pos(lattice 2013)400mentioning

confidence: 99%

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Kaon Mixing Beyond the Standard Model

Lytle¹,

Boyle²,

Garrón³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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We report on an ongoing calculation of hadronic matrix elements needed to parameterize K − K mixing in generic BSM scenarios, using domain wall fermions (DWF) at two lattice spacings. Recent work by the SWME collaboration shows a significant disagreement with our previous results for two of these quantities. Since the origin of this disagreement is unknown, it is important to reduce the various uncertainties. In this work, we are using N f = 2 + 1 DWF with Iwasaki gauge action at inverse lattice spacings of 2.31 and 1.75 GeV, with multiple unitary pions on each ensemble, the lightest being 290 and 330 MeV on the finer and coarser of the two ensembles respectively. This extends previous work by the addition of a second lattice spacing (a −1 ≈ 1.75 GeV). Renormalization is carried out non-perturbatively in the RI/MOM scheme and converted perturbatively to MS.

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“…We also carry out non-perturbative matching using the RI/SMOM scheme [22,25]. This scheme has reduced sensitivity to the infrared and in particular the pole behavior in (3.3) is absent.…”

Section: Pos(lattice 2013)400mentioning

confidence: 99%

Section: Low-energy Matrix Elementsmentioning

confidence: 99%

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Kaon Mixing Beyond the Standard Model

Lytle¹,

Boyle²,

Garrón³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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“…In order to combine our results with the Wilson coefficients calculated in the MS-NDR scheme [17][18][19], we perform the renormalization in 3 steps. We start by obtaining the renormalization constants in four RI-SMOM schemes using the procedures described in [5]. Because the lattice is coarse the renormalization scale is chosen to be low, 1.145 GeV, to avoid lattice artefacts.…”

Section: And Calculating the Ratiomentioning

confidence: 99%

“…[5] (for a recent review see [6]). Of course, a complete understanding of CP-violation in K → ππ decays, including the evaluation of ǫ ′ /ǫ and an understanding of the ∆I = 1/2 rule, requires the ability to compute both A 0 and A 2 directly.…”

Section: Introductionmentioning

confidence: 99%

K→(ππ)I=2Decay Amplitude from Lattice QCD

Boyle²,

et al. 2012

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We report on the first realistic ab initio calculation of a hadronic weak decay, that of the amplitude A2 for a kaon to decay into two π-mesons with isospin 2. We find Re A2 = (1.436 ± 0.063 stat ± 0.258 syst ) 10 −8 GeV in good agreement with the experimental result and for the hitherto unknown imaginary part we find Im A2 = −(6.83±0.51 stat ±1.30 syst ) 10 −13 GeV. Moreover combining our result for Im A2 with experimental values of Re A2, Re A0 and ǫ ′ /ǫ, we obtain the following value for the unknown ratio Im A0/Re A0 within the Standard Model: Im A0/Re A0 = −1.63(19)stat(20)syst × 10 −4 . One consequence of these results is that the contribution from Im A2 to the direct CP violation parameter ǫ ′ (the so-called Electroweak Penguin, EWP, contribution) is Re(ǫ ′ /ǫ)EWP = −(6.52 ± 0.49 stat ± 1.24 syst ) × 10 −4 . We explain why this calculation of A2 represents a major milestone for lattice QCD and discuss the exciting prospects for a full quantitative understanding of CP-violation in kaon decays.

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ΔF = 2 observables and B → X q γ decays in the left-right model: Higgs particles striking back

Blanke

Buras

Gemmler

et al. 2012

J. High Energ. Phys.

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We present a complete study of ∆S = 2 and ∆B = 2 processes in the leftright model (LRM) based on the weak gauge group SU (2) L × SU (2) R × U (1) B−L . This includes ε K , ∆M K , ∆M q , A q SL , ∆Γ q with q = d, s and the mixing induced CP asymmetries S ψK S and S ψφ . Compared to the Standard Model (SM) these observables are affected by tree level contributions from heavy neutral Higgs particles (H 0 ) as well as new box diagrams with W R gauge boson and charged Higgs (H ± ) exchanges. We also analyse the B → X s,d γ decays that receive important new contributions from the W L − W R mixing and H ± exchanges. Compared to the existing literature the novel feature of our analysis is the search for correlations between various observables that could help us to distinguish this model from other extensions of the SM and to obtain an insight into the structure of the mixing matrix V R that governs right-handed currents. Moreover, we perform the full phenomenology including both gauge boson and Higgs boson contributions. We find that even for M H 0 ≈ M H ± ∼ O(20) TeV, the tree level H 0 contributions to ∆F = 2 observables are by far dominant and the H ± contributions to B → X q γ can be very important, even dominant for certain parameters of the model. While in a large fraction of the parameter space this model has to struggle with the experimental constraint from ε K , we demonstrate that there exist regions in parameter space which satisfy all existing ∆F = 2, B → X s,d γ, tree level decays and electroweak precision constraints for scales M W R 2 − 3 TeV in the reach of the LHC. We also show that the S ψK S -ε K tension present in the SM can be removed in the LRM. Simultaneously Br(B → X s γ) can be brought closer to the data. However, we point out that with the increased lower bound on M W R , the LRM cannot help in explaining the difference between the inclusive and exclusive determinations of |V ub |, when all constraints are taken into account, unless allowing for large fine-tuning. Finally we present a rather complete list of Feynman rules involving quarks, gauge bosons and Higgs particles.

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Continuum limit ofBKfrom2+1flavor domain wall QCD

Cited by 69 publications

References 62 publications

Kaon Mixing Beyond the Standard Model

Kaon Mixing Beyond the Standard Model

K→(ππ)I=2Decay Amplitude from Lattice QCD

ΔF = 2 observables and B → X q γ decays in the left-right model: Higgs particles striking back

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