On HQET and NRQCD operators of dimension 8 and above

Gunawardana, Ayesh; Paz, Gil

doi:10.1007/jhep07(2017)137

Cited by 24 publications

(38 citation statements)

References 63 publications

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“…the invariance of physical quantities under small changes of v, has been noticed already long ago in [5] and has subsequently been exploited in [6][7][8][9]. Its relation to the Lorentz invariance of full QCD has been investigated in detail in [10,11].…”

Section: Jhep06(2018)115mentioning

confidence: 94%

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Reparametrization invariance and partial re-summations of the heavy quark expansion

Mannel

Vos

2018

J. High Energ. Phys.

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We extend existing work on reparametrization invariance (RPI) of the heavyquark expansion (HQE). RPI implies relations between different orders of the HQE. We discuss the total rates of inclusive processes and obtain results which have a manifest RPI and can be expressed through matrix elements of operators and states defined in full QCD. This approach leads to a partial re-summation of higher-order terms in the heavy-quark expansion. It has the advantage that for reparametrization-invariant observables it shows that the number of independent non-perturbative parameters can be reduced.

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Section: Jhep06(2018)115mentioning

confidence: 94%

“…It has been shown that these two contributions receive different radiative corrections [9,14]. Therefore, beyond tree level, r 4 E will generate two independent parameters.…”

Section: Jhep06(2018)115mentioning

confidence: 99%

Reparametrization invariance and partial re-summations of the heavy quark expansion

Mannel

Vos

2018

J. High Energ. Phys.

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“…First, it may be used to constrain the nonrelativistic EFTs to orders even higher than the ones considered here. As an example, the present work has all the necessary ingredients to constrain the NRQCD Lagrangian at O(M −4 ) in the two-fermion sector, which has been derived in [46]. This would also allow comparisons to the results for NRQED presented in [30].…”

Section: B Outlookmentioning

confidence: 94%

“…Finally, we remark that most of the constraints on the boost coefficients at O(M −3 ) presented in Eqs. (46) and (49) are new.…”

Section: B Invariance Of the Lagrangianmentioning

confidence: 99%

Poincaré invariance in NRQCD and potential NRQCD revisited

et al. 2019

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We investigate how fields transform under the Poincaré group in nonrelativistic effective field theories of QCD. In constructing these transformations, we rely only on symmetries and field redefinitions to limit the number of allowed terms. By requiring invariance of the action under these transformations, nontrivial relations between Wilson coefficients for both nonrelativistic QCD and potential nonrelativistic QCD are derived. We show explicitly how the Poincaré algebra is satisfied, and how this gives complementary information on the Wilson coefficients. We also briefly discuss the implications of our results, as well as the possibility of applying this method to other types of effective field theories.

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“…In [8] we provided a systematic approach to relate such matrix elements to commutators of HQET parameters. From this we found the following results for the first two moments…”

Section: Introductionmentioning

confidence: 99%

Reevaluating uncertainties in $$ \overline{B} $$ → Xsγ decay

Gunawardana

Paz

2019

J. High Energ. Phys.

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The rare inclusive decay B → X s γ is an important probe of physics beyond the standard model. The largest uncertainty on the decay rate and CP asymmetry comes from operators that appear at order 1/m b in the heavy quark expansion. One of the three leading contributions in the heavy quark expansion, Q q 1 − Q 7γ is described by a non-local function whose moments are related to HQET parameters. We use recent progress in our knowledge of these parameters to better constrain their contributions to the total rate and CP asymmetry.

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On HQET and NRQCD operators of dimension 8 and above

Cited by 24 publications

References 63 publications

Reparametrization invariance and partial re-summations of the heavy quark expansion

Reparametrization invariance and partial re-summations of the heavy quark expansion

Poincaré invariance in NRQCD and potential NRQCD revisited

Reevaluating uncertainties in $$ \overline{B} $$ → Xsγ decay

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