The rare decay B→Xsℓ+ℓ− to NNLL precision for arbitrary dilepton invariant mass

Ghinculov, A.; Hurth, Tobias; Isidori, Gino; Yao, Y.

doi:10.1016/j.nuclphysb.2004.02.028

Cited by 136 publications

(156 citation statements)

References 49 publications

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“…This inclusive decay is theoretically wellexplored. The NNLL QCD calculations for the branching ratio [58][59][60][61][62][63][64] and the forwardbackward asymmetry [65][66][67][68][69][70] have been finalised some time ago by an effort of several research groups. Even electromagnetic corrections have been already calculated [69,71,72].…”

Section: Cross-check With the Inclusive Modementioning

confidence: 99%

On the LHCb anomaly in B → K * ℓ + ℓ −

Hurth

Mahmoudi

2014

J. High Energ. Phys.

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Abstract:The latest LHCb angular analysis of the rare decay B → K * µ + µ − shows some discrepancies from the SM up to the 3.7σ level. There is a consistent new physics explanation of these anomalies, while it is also reasonable that these anomalies are just statistical fluctuations and/or a direct consequence of underestimated hadronic uncertainties. We briefly discuss possible cross-checks of the various hypotheses with an analysis of the inclusive B → X s + − based on the data collected by the B factories Babar and Belle and also based on future opportunities at SuperBelle. We also present a global analysis of the latest LHCb data under the hypothesis of Minimal Flavour Violation. The latter is an important benchmark scenario for new physics models. Any measurements beyond the MFV bounds and relations unambiguously indicate the existence of new flavour structures next to the Yukawa couplings of the Standard Model. However, if new physics is responsible for these discrepancies, we show it is compatible with the MFV hypothesis, so no new flavour structures are needed. Moreover, we analyse the impact of the correlations between the observables based on a Monte Carlo study.

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Section: Cross-check With the Inclusive Modementioning

confidence: 99%

On the LHCb anomaly in B → K * ℓ + ℓ −

Hurth

Mahmoudi

2014

J. High Energ. Phys.

Self Cite

128

131

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“…To simplify our notation we suppress the µ 0 dependence in the coefficients hereafter. The functions F 7,9 (q 2 ) contain the virtual contributions from O 1−6,8 and are known at NNLL order [23,24,25,26,27,28,29] (up to small O 3−6 contributions), while the G 7,9 (q 2 ) contain nonperturbative O(1/m 2 c ) corrections involving the four-quark operators [30]. The latter can be included in this simple form, but the final results for the decay rates have to be re-expanded so that any terms of O(α s /m 2 c , 1/m 4 c ) are discarded.…”

Section: Split Matching and Effective Wilson Coefficientsmentioning

confidence: 99%

“…(27) and the matching coefficients in Eqs. (23) and (25) , it has no soft photon pole and is thus completely dominated 3 We use a different normalization of the |B state from that in Ref.…”

Section: A Leading Ordermentioning

confidence: 99%

NonperturbativemXcut effects inB→Xsl+l−observables

Lee

Tackmann

2009

Phys. Rev. D

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Recently, it was shown that in inclusive B → Xs ℓ + ℓ − decay, an angular decomposition provides three independent (q 2 dependent) observables. A strategy was formulated to extract all measurable Wilson coefficients in B → Xs ℓ + ℓ − from a few simple integrals of these observables in the low q 2 region. The experimental measurements in the low q 2 region require a cut on the hadronic invariant mass, which introduces a dependence on nonperturbative b quark distribution functions. The associated hadronic uncertainties could potentially limit the sensitivity of these decays to new physics. We compute the nonperturbative corrections to all three observables at leading and subleading order in the power expansion in ΛQCD/m b . We find that the subleading power corrections give sizeable corrections, of order −5% to −10% depending on the observable and the precise value of the hadronic mass cut. They cause a shift of order −0.05 GeV 2 to −0.1 GeV 2 in the zero of the forward-backward asymmetry.

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“…An important class of these corrections from mixing can be determined from the NNLL analysis in Refs. [13,14,16]:…”

Section: Analysis In the Shape Function Region A Matching On To mentioning

confidence: 99%

“…These have complementary advantages and disadvantages [16]. For example, the latter has significant 1/m b corrections but negligible scale and charm-mass dependence, whereas the former has small 1/m b corrections but non-negligible scale and charm-mass dependence.…”

Section: Introductionmentioning

confidence: 99%

Shape-function effects and split matching inB→Xsℓ+ℓ−

Lee

Stewart

2006

Phys. Rev. D

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We derive the triply differential spectrum for the inclusive rare decay B → X s ℓ + ℓ − in the shape function region, in which X s is jet-like with m 2 X < ∼ m b Λ QCD . Experimental cuts make this a relevant region. The perturbative and non-perturbative parts of the matrix elements can be defined with the Soft-Collinear Effective Theory, which is used to incorporate α s corrections consistently. We prove that, with a suitable power counting for the dilepton invariant mass, the same universal jet and shape functions appear as in B → X s γ and B → X u ℓν decays. Parts of the usual α s (m b ) corrections go into the jet function at a lower scale, and parts go into the non-perturbative shape function. For B → X s ℓ + ℓ − , the perturbative series in α s are of a different character above and below µ = m b . We introduce a "split matching" method that allows the series in these regions to be treated independently.

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The rare decay B→Xsℓ+ℓ− to NNLL precision for arbitrary dilepton invariant mass

Cited by 136 publications

References 49 publications

On the LHCb anomaly in B → K * ℓ + ℓ −

On the LHCb anomaly in B → K * ℓ + ℓ −

NonperturbativemXcut effects inB→Xsl+l−observables

Shape-function effects and split matching inB→Xsℓ+ℓ−

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