Three loop calculations and inclusive V

Bordone, Marzia; Capdevila, Bernat; Gambino, Paolo

doi:10.1016/j.physletb.2021.136679

Cited by 94 publications

(154 citation statements)

References 25 publications

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“…See ref. [21] for the latest determination. In the kinetic mass scheme, not only the u = 1/2 renormalon but also the u = 1 renormalon is subtracted.…”

Section: Introductionmentioning

confidence: 99%

“…In ref. [21], the non-perturbative effects up to mass dimension three (or the operators of mass dimension up to five) are included in the OPE prediction. By using the moments of the lepton energy distribution and those of the hadronic invariant mass distribution, several parameters such as |V cb |, the bottom quark mass, and the non-perturbative effects, are simultaneously determined, supplemented by consistency checks of the OPE as well as with other determinations of the bottom quark mass.…”

Section: Introductionmentioning

confidence: 99%

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Determination of $|V_{cb}|$ using N$^3$LO perturbative corrections to $Γ(B \to X_c \ell ν)$ and 1S masses

Hayashi,

Sumino,

Takaura

2022

Preprint

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We determine |V cb | using the third-order perturbative series for the inclusive semileptonic B decay width and for the masses of the bottomonium 1S states. We use the masses of η b (1S) and Υ(1S) as short-distance masses and point out that there is a sizable difference of |V cb | between the two 1S mass schemes. This is the dominant error of our determination and stems from insufficiency to describe theoretically the observed mass splitting of the bottomonium 1S states. We also study the significance of the O(Λ 2 MS ) non-perturbative effects in HQET with respect to the current perturbative accuracy. Our result |V cb | = 0.0425( 11) is consistent with the PDG value determined from the inclusive decays and has a slightly larger error. G m 2 b + O((Λ MS /m b ) 3 ) . (1)

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“…See ref. [21] for the latest determination. In the kinetic mass scheme, not only the u = 1/2 renormalon but also the u = 1 renormalon is subtracted.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Determination of $|V_{cb}|$ using N$^3$LO perturbative corrections to $Γ(B \to X_c \ell ν)$ and 1S masses

Hayashi,

Sumino,

Takaura

2022

Preprint

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“…At the same time, explaining the discrepancies by new physics is challenging [7][8][9]. Improving the theoretical description of inclusive and exclusive b → c ν and b → u ν decays is thus of high priority (see [10][11][12][13][14][15][16][17][18][19][20][21][22][23] for recent progress). Alternatively, one can focus on combinations of loop observables that are independent of V cb and/or V ub as emphasized for example in [24][25][26].…”

mentioning

confidence: 99%

Loopy Determinations of $V_{ub}$ and $V_{cb}$

Altmannshofer,

Lewis

2021

Preprint

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We use loop induced processes like meson oscillations and rare b hadron decays to determine the absolute values of the CKM matrix elements |V ub | and |V cb | and compare our results to the standard determinations based on inclusive and exclusive semileptonic tree-level decays of B mesons. For many years there have been tensions between the inclusive and exclusive determinations. Assuming the absence of new physics, we find that meson oscillation data shows a slight preference for the inclusive value of |V cb | and the exclusive value for |V ub |. Rare b decay data prefers values for |V cb | far below the inclusive and exclusive determinations, offering a new perspective on some of the persistent rare b decay anomalies. I. INTRODUCTIONThe elements V ub and V cb of the Cabibbo-Kobayashi-Maskawa (CKM) matrix [1, 2] are crucial input parameters for the theory predictions of many observables in the flavor sector.A standard strategy to determine the absolute values of V ub and V cb is to use tree level b → c ν and b → u ν decays, assuming no new physics at tree level. These values are then used to make Standard Model (SM) predictions for loop level flavor changing neutral current processes that are highly sensitive to new physics effects.Since many years, discrepancies exist between the tree level determinations using the inclusive B → X c ν and B → X u ν decays on the one side, and exclusive decays, like B → D ( * ) ν and B → π ν on the other [3-5] (also B → ππ ν decays can be used to

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“…The bottom quark mass is tuned to reproduce the 𝐵 𝑠 meson mass in the lattice simulation using the results of [13]. For the non-perturbative matrix elements we employ the results of the recent semi-leptonic fit in [14] even though it refers to a physical 𝑏 quark and a light spectator. Expressions for the O (𝛼 𝑠 ) corrections can be found in [15].…”

Section: Comparison To Lattice Datamentioning

confidence: 99%

Comparison of lattice QCD results for inclusive semi-leptonic decays of $B$ mesons with the OPE

Gambino¹,

Hirano²,

Mächler³

2021

Preprint

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A recently proposed approach to compute the inclusive semi-leptonic decay rate on the lattice allows for the calculation of various quantities (differential distributions and moments) in different subchannels. We systematically compare the lattice QCD results for an unphysically light bottom quark with OPE-based predictions, including leading order perturbative and O 1/𝑚 3 power corrections, and explore possible strategies to decrease the systematic uncertainty.

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Three loop calculations and inclusive V

Cited by 94 publications

References 25 publications

Determination of $|V_{cb}|$ using N$^3$LO perturbative corrections to $Γ(B \to X_c \ell ν)$ and 1S masses

Determination of $|V_{cb}|$ using N$^3$LO perturbative corrections to $Γ(B \to X_c \ell ν)$ and 1S masses

Loopy Determinations of $V_{ub}$ and $V_{cb}$

Comparison of lattice QCD results for inclusive semi-leptonic decays of $B$ mesons with the OPE

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