<p>We explore the impact of a combined analysis of <i>B</i><sub><i>d</i>,<i>s</i></sub> → <i>K</i><sup>(∗)</sup> form factors on a set of <i>L</i>-observables. The <i>L</i>-observables are constructed from ratios of branching fractions in <i>B</i><sub><i>s</i></sub> → <i>VV</i>, <i>PP</i>, <i>PV</i> versus <i>B</i><sub><i>d</i></sub> → <i>VV</i>, <i>PP</i>, <i>PV</i> decays with <i>P</i> = <i>K</i><sup>0</sup>, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27268_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msup> <mover accent="true"> <mi>K</mi> <mo stretchy="true">¯</mo> </mover> <mn>0</mn> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\overline{K}}^0 \)</EquationSource> </InlineEquation> and <i>V</i> = <i>K</i><sup>∗0</sup>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27268_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msup> <mover accent="true"> <mi>K</mi> <mo stretchy="true">¯</mo> </mover> <mrow> <mo>∗</mo> <mn>0</mn> </mrow> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\overline{K}}^{\ast 0} \)</EquationSource> </InlineEquation>, thereby partially reducing their hadronic uncertainties. We show the change of the Standard Model predictions of the <i>L</i>-observables under different determinations of the ratio of the relevant form factors (with correlations) including lattice QCD data and a novel light-cone sum rule analysis. In addition, we provide precise results for all <i>B</i><sub><i>d</i>,<i>s</i></sub> → <i>K</i><sup>(∗)</sup> form factors in machine-readable files. We find that the inclusion of our up-to-date results, as well as the use or omission of lattice QCD data for the form factors, has a significant impact on the <i>L</i>-observables. We also discuss how the New Physics interpretation is affected by the updated form factors and present revised predictions for the mechanism identified in our analysis of <i>B</i> → <i>VP</i> decays, now employing more suitable new experimental observables defined in this paper.</p>

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Impact on L-observables of a new combined analysis of Bd,sK(∗) form factors

  • Aritra Biswas,
  • Nico Gubernari,
  • Joaquim Matias,
  • Gilberto Tetlalmatzi-Xolocotzi

摘要

We explore the impact of a combined analysis of Bd,sK(∗) form factors on a set of L-observables. The L-observables are constructed from ratios of branching fractions in BsVV, PP, PV versus BdVV, PP, PV decays with P = K0, K ¯ 0 \( {\overline{K}}^0 \) and V = K∗0, K ¯ 0 \( {\overline{K}}^{\ast 0} \) , thereby partially reducing their hadronic uncertainties. We show the change of the Standard Model predictions of the L-observables under different determinations of the ratio of the relevant form factors (with correlations) including lattice QCD data and a novel light-cone sum rule analysis. In addition, we provide precise results for all Bd,sK(∗) form factors in machine-readable files. We find that the inclusion of our up-to-date results, as well as the use or omission of lattice QCD data for the form factors, has a significant impact on the L-observables. We also discuss how the New Physics interpretation is affected by the updated form factors and present revised predictions for the mechanism identified in our analysis of BVP decays, now employing more suitable new experimental observables defined in this paper.