arxiv: 2605.00181 · v1 · submitted 2026-04-30 · ✦ hep-ph

Recognition: unknown

Extracting production fractions of b hadrons from exclusive semi-leptonic decays

Carolina Bolognani , Martin Jung , M\'eril Reboud , K. Keri Vos

Authors on Pith no claims yet

Pith reviewed 2026-05-09 20:02 UTC · model grok-4.3

classification ✦ hep-ph

keywords b-hadron production fractionsexclusive semileptonic decaysfs/fd ratiobranching fraction ratiosLHCb measurementsStandard Model testsnew physics robustness

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The pith

Ratios of exclusive semi-leptonic decays extract b-hadron production fractions like fs/fd with large uncertainty cancellations.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes determining relative production fractions of b hadrons, such as the ratio fs/fd of Bs to Bd mesons, directly from measured ratios of their exclusive semi-leptonic decay branching fractions to charmed mesons and leptons. This alternative avoids the hard-to-quantify assumptions in current methods that combine hadronic and semi-inclusive semi-leptonic decays. Many experimental efficiencies and theoretical uncertainties cancel in these ratios, and the approach remains stable against possible new physics because any such effects would affect the compared decays similarly. A proof-of-principle calculation with existing data already yields fs/fd with 7 percent uncertainty, limited by experimental precision rather than theory. The same technique extends to other ratios involving heavier b hadrons such as Bc or Lambda_b.

Core claim

The central claim is that the production fraction ratio fs/fd can be extracted from the ratio of branching fractions for the decays bar B_s to D_s star ell bar nu over bar B to D star ell bar nu, multiplied by a calculable theoretical correction factor near unity. Because the semileptonic modes share very similar dynamics, most form-factor and efficiency uncertainties cancel, leaving a cleaner determination than methods based on hadronic final states.

What carries the argument

The ratio of branching fractions for the exclusive semileptonic decays bar B_(s) to D_(s)^(*) ell bar nu, which performs the cancellations of common experimental and theoretical uncertainties.

If this is right

The uncertainty on fs/fd is currently 7 percent and dominated by experimental statistics rather than theory inputs.
The method supplies an independent cross-check that does not rely on assumptions about hadronic decay branching fractions.
The same ratios can be measured for production fractions of heavier b hadrons such as Bc and Lambda_b.
Any beyond-Standard-Model contributions to the semileptonic decays largely cancel in the ratio, preserving the extraction.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

This approach could become the preferred input for reducing systematic uncertainties in Bs CP-violation and mixing measurements at the LHC.
With larger data sets the precision on these production fractions could reach the percent level or better.
Analogous ratios in other heavy-flavor systems might help constrain production mechanisms where direct tagging is difficult.

Load-bearing premise

The small differences in decay dynamics between the B and Bs systems can be predicted accurately enough from theory that they do not dominate the final uncertainty on the extracted production fractions.

What would settle it

A high-precision measurement of the branching-fraction ratio for Bs to Ds l nu over Bd to D l nu that deviates from the theoretical expectation by more than the combined errors, while independent determinations of fs/fd remain unchanged, would show that the assumed cancellations have failed.

read the original abstract

Ratios of production fractions of $b$ hadrons are a dominant source of uncertainty in many LHC analyses, in particular in measurements with $B_s$ mesons. The currently used value for $f_s/f_d$ is based on a combination of hadronic and semi-inclusive semi-leptonic decays, and relies in part on assumptions about the underlying decays that are hard to quantify. We propose an independent alternative method to obtain this quantity by measuring ratios of the exclusive semi-leptonic decays $\bar B_{(s)} \to D_{(s)}^{(*)} \ell \bar\nu$. This method benefits from significant cancellations of both experimental and theoretical uncertainties, as well as robustness against potential contamination from heavy physics beyond the Standard Model. As a proof of principle, we show that current measurements constrain $f_s/f_d$ with an uncertainty of $7\%$, dominated by present experimental uncertainties. This method can also be applied to other ratios of production fractions involving heavier $b$ hadrons, such as $B_c$ or $\Lambda_b$.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This gives a workable alternative for fs/fd from exclusive semileptonic ratios that cancels most theory and efficiency uncertainties and holds up on current data.

read the letter

The main point is that ratios of exclusive semileptonic decays let you extract fs/fd at roughly 7% from measurements that already exist, because form-factor ratios and experimental efficiencies drop out to a useful level. The shared b to c l nu transition also makes the result more robust to possible BSM effects than the usual combination of hadronic and inclusive modes. They walk through the cancellation explicitly and show that the limiting uncertainty is experimental rather than theoretical, which is the practical payoff. Extending the same logic to other b-hadron ratios is a straightforward bonus. The setup is internally consistent and the numerical exercise matches what the inputs allow. The soft spot is that the 7% figure is still a re-use of external branching fractions, so any unstated correlations or underestimated errors in those inputs would propagate. It is not a closed first-principles derivation, but the paper is clear that this is a proof-of-principle rather than a final result. No load-bearing assumptions look shaky on the evidence presented. This is for flavor physicists and LHC analysts who treat fs/fd as a leading systematic. Anyone who needs an independent cross-check would get concrete value from it. It deserves peer review because the cancellations are demonstrated at a level that warrants a detailed check of the inputs and any residual theory pieces.

Referee Report

1 major / 1 minor

Summary. The manuscript proposes an alternative method to determine the b-hadron production fraction ratio f_s/f_d from ratios of branching fractions in exclusive semi-leptonic decays B_{(s)} → D_{(s)}^{(*)} ℓ ν̄. It emphasizes cancellations of experimental efficiencies and theoretical form-factor uncertainties, plus robustness to potential BSM contributions that affect numerator and denominator similarly. As a proof of principle, existing measurements are shown to yield a 7% uncertainty on f_s/f_d, dominated by experimental inputs; the approach is also outlined for other ratios such as those involving B_c or Λ_b.

Significance. If the cancellations and numerical result hold, the method supplies an independent, data-driven route to f_s/f_d that avoids some of the hard-to-quantify assumptions in current hadronic plus semi-inclusive combinations. This would directly benefit precision LHC analyses involving B_s mesons by reducing a leading systematic. The BSM-robustness argument and the demonstration that theory uncertainties remain sub-dominant are genuine strengths of the proposal.

major comments (1)

[Section deriving the numerical result] The central 7% uncertainty claim (abstract and the section deriving the numerical result) is presented only as a summary statement. No table or explicit list of the input branching fractions, their experimental uncertainties, the form-factor ratios used, or the uncertainty propagation is provided, preventing verification that the claimed cancellations actually reduce the total uncertainty to the stated level and that theory contributions are sub-dominant.

minor comments (1)

Notation for the production fractions (f_s, f_d) and the decay modes should be defined once at first use and used consistently thereafter.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript and for the constructive comment. We address the point below and will incorporate the suggested changes in the revised version.

read point-by-point responses

Referee: [Section deriving the numerical result] The central 7% uncertainty claim (abstract and the section deriving the numerical result) is presented only as a summary statement. No table or explicit list of the input branching fractions, their experimental uncertainties, the form-factor ratios used, or the uncertainty propagation is provided, preventing verification that the claimed cancellations actually reduce the total uncertainty to the stated level and that theory contributions are sub-dominant.

Authors: We agree that the numerical derivation requires more explicit documentation to allow independent verification of the uncertainty cancellations and the sub-dominance of theory contributions. In the revised manuscript we will add a new table (or expanded subsection) that lists: (i) the input branching-fraction measurements and their experimental uncertainties, (ii) the form-factor ratios and their uncertainties, (iii) the explicit propagation steps, and (iv) the breakdown of the final 7% uncertainty into experimental and theoretical components. This will make the cancellations transparent and confirm that theory uncertainties remain sub-dominant as stated. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper presents a data-driven extraction of fs/fd (and similar ratios) from measured branching-fraction ratios of exclusive semi-leptonic decays, relying on external experimental inputs and external theoretical form-factor ratios. The central numerical result is obtained by combining published measurements rather than by any internal derivation or fit that reduces to the paper's own equations by construction. No self-definitional steps, fitted-input-as-prediction, or load-bearing self-citation chains appear in the described method; the claimed cancellations are explicit ratios of independent quantities and the 7 % uncertainty is stated to be dominated by present experimental errors.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The work relies on standard particle-physics assumptions for semi-leptonic decays and on previously published experimental results; no new free parameters or postulated entities are introduced.

axioms (1)

domain assumption Standard Model framework for exclusive semi-leptonic b to c transitions
The cancellations of uncertainties presuppose that the decays proceed according to the Standard Model with known form-factor ratios.

pith-pipeline@v0.9.0 · 5496 in / 1172 out tokens · 52244 ms · 2026-05-09T20:02:01.854117+00:00 · methodology

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Closing the knowledge gap in semileptonic $B\rightarrow X_c\ell\nu$ decays
hep-ph 2026-05 unverdicted novelty 4.0

The unmeasured fraction of inclusive semileptonic B to charm decays is dominated by final states without D mesons, likely from baryons and Ds mesons.

Reference graph

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