Probing Light Dark Fermions in $B \to D^{(*)}\ell X_{\rm inv}$ via Rate Distributions

Lipika Kolay; Ria Sain; Shantanu Sahoo; Soumitra Nandi

arxiv: 2606.21642 · v1 · pith:ZZLR47RRnew · submitted 2026-06-19 · ✦ hep-ph

Probing Light Dark Fermions in B to D^((*))ell X_(rm inv) via Rate Distributions

Lipika Kolay , Soumitra Nandi , Shantanu Sahoo , Ria Sain This is my paper

Pith reviewed 2026-06-26 13:41 UTC · model grok-4.3

classification ✦ hep-ph

keywords semileptonic B decaysdark sector fermionsmassive invisible particlesweak effective theoryV_cb extractionkinematic distributionsangular distributionssterile neutrinos

0 comments

The pith

Massive invisible fermions in B to D(*) l X_inv decays alter kinematic and angular distributions compared to the massless neutrino case.

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

This paper examines how a massive dark-sector fermion, rather than a massless neutrino, affects the distributions in semileptonic B decays. The analysis is performed in a general weak effective theory and also considers effective and simplified models that can generate the relevant interactions. Observable modifications appear in both rate and angular observables. These changes have direct consequences for how the CKM element |V_cb| is extracted from the same data. A sympathetic reader cares because the work supplies a systematic way to search for light dark fermions using existing and forthcoming B-decay measurements.

Core claim

When the invisible final-state particle carries nonzero mass, the kinematic and angular distributions in B to D(*) lepton X_inv are modified relative to the Standard Model prediction of a massless neutrino. These modifications are computed within a general weak effective theory and are shown to be realizable in effective and simplified models. The same mass effects alter the extracted value of |V_cb|. The central result is that relaxing the massless-neutrino assumption produces observable effects that can be systematically investigated in semileptonic B-decay distributions.

What carries the argument

The general weak effective theory that parametrizes the interactions of a massive invisible fermion with the b to c transition.

If this is right

Kinematic distributions in B to D(*) l X_inv deviate measurably from Standard Model expectations when the invisible particle has mass.
Angular observables also receive corrections that can be used to discriminate massive from massless invisible particles.
The numerical value of |V_cb| extracted from these decays changes once the mass of the invisible particle is allowed to be nonzero.
Effective and simplified models provide concrete realizations of the required interactions.
The framework supplies a systematic method for studying the impact of massive invisible particles on semileptonic B-decay distributions.

Where Pith is reading between the lines

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

Belle II or LHCb data with improved missing-energy resolution could place direct limits on the mass and couplings of light dark fermions.
The same effective-theory treatment could be applied to other semileptonic modes such as B to pi l X_inv or Lambda_b decays.
If a signal appears, it would motivate dedicated searches for the same massive invisible particle in collider or fixed-target experiments.

Load-bearing premise

The interactions involving the massive invisible particle can be described by a general weak effective theory that applies to these B decays.

What would settle it

A high-precision measurement of the differential decay rate or angular distribution in B to D l X_inv that matches the massless-neutrino prediction within experimental errors, with no room for a massive invisible contribution, would falsify a detectable effect.

read the original abstract

Experimental analyses of the semileptonic decays $ B \to D^{(*)} \ell \bar{\nu}$ typically rely on the assumption that the missing energy originates from a massless neutrino, as predicted by the Standard Model. However, this assumption may not hold in scenarios where the invisible final-state particle is instead massive, such as a sterile neutrino or a dark-sector fermion. In this work, we explore how the presence of a massive dark sector fermion modifies the kinematic and angular distributions of these decays. Our analysis is carried out within the framework of a general weak effective theory, and we also discuss effective and simplified models in which these interactions may arise. In addition, we study the implications of these effects for the extraction of the CKM matrix element $ |V_{cb}|$. Overall, our results show that relaxing the standard assumption of a massless neutrino can lead to observable effects and provide a framework for systematically investigating their impact on semileptonic $B$- decay distributions.

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

The paper maps out how a massive invisible particle changes kinematic distributions in B to D(*) l X decays within a weak EFT, but the setup assumes heavy mediators that may not apply for light dark fermions.

read the letter

The paper's main message is that assuming a massless neutrino in analyses of B to D(*) l missing energy decays could miss signals from a light massive dark fermion, and they map out the changes to the distributions in an EFT setup.

They carry out the study using a general weak effective theory, examine the kinematic and angular distributions, and consider what this means for |V_cb| extraction. They also bring in effective and simplified models for the origin of the interactions.

This is new as an application to these specific decays with focus on distributions for massive cases. It does well in providing a systematic way to look at the impact.

The math seems based on standard decay rate calculations, so that part holds up.

The soft spot is the EFT applicability. When the dark fermion has mass of order a few GeV, the mediators could be comparable to the B mass scale, which breaks the assumption that new physics is integrated out at a much higher scale. Without any explicit check or discussion of this regime in the work, the predicted effects on the distributions may not be reliable.

This paper is for people working on precision flavor physics and searches for dark sectors in B meson decays. A reader who wants to see how relaxing the massless assumption plays out in the distributions would find it useful.

It has enough to warrant peer review, though the authors should strengthen the justification for using the EFT in the light mass case.

Referee Report

1 major / 1 minor

Summary. The paper claims that relaxing the assumption of a massless neutrino in semileptonic B decays B → D(*) ℓ ν can lead to observable modifications in kinematic and angular distributions when the invisible particle X_inv is instead a massive light dark fermion. The analysis is performed in a general weak effective theory framework, with discussion of effective and simplified models, and implications for |V_cb| extraction are explored.

Significance. If the central results hold, the work provides a systematic EFT-based framework for probing light dark fermions via rate distributions in B decays, which could affect precision extractions of CKM elements and enable new searches for dark-sector particles. The model-independent approach and consideration of both effective and simplified models are strengths that allow for broader applicability.

major comments (1)

[framework description] The framework description (abstract and introductory sections): the claim that a general weak effective theory accurately describes the interactions for light dark fermions with m_X ~ few GeV rests on the unverified assumption that new physics mediators are integrated out at scales ≫ m_B. This is load-bearing for the predicted distributions and |V_cb| implications, as violation of EFT power counting would alter both the operator basis and the kinematic effects; no explicit validity check or matching calculation for this mass regime is provided.

minor comments (1)

Notation for X_inv and the invisible particle mass should be defined consistently from the outset to avoid ambiguity in the distributions.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comment. We respond to the major comment below.

read point-by-point responses

Referee: The framework description (abstract and introductory sections): the claim that a general weak effective theory accurately describes the interactions for light dark fermions with m_X ~ few GeV rests on the unverified assumption that new physics mediators are integrated out at scales ≫ m_B. This is load-bearing for the predicted distributions and |V_cb| implications, as violation of EFT power counting would alter both the operator basis and the kinematic effects; no explicit validity check or matching calculation for this mass regime is provided.

Authors: We thank the referee for highlighting this important point. Our analysis is performed within the general weak effective theory under the standard assumption that any new-physics mediators have been integrated out at scales well above m_B, which is the usual starting point for EFT studies of B decays. This assumption is implicit in the operator basis we employ and is common in the literature when exploring light invisible particles. We acknowledge that the manuscript does not contain an explicit matching calculation or numerical validity check for the m_X ~ few GeV regime. To address the referee's concern, we will revise the introduction to state the validity condition more explicitly and to note that the reported distributions and |V_cb| implications hold only when the mediator scale satisfies the EFT power counting. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained within standard EFT framework

full rationale

The paper's central analysis applies a general weak effective theory to modify kinematic distributions in B → D(*) ℓ X_inv decays under the assumption of a massive invisible fermion. This framework is introduced as an external standard tool without self-definition of parameters in terms of the target observables, without renaming fitted inputs as predictions, and without load-bearing self-citations that reduce the result to prior author work. The abstract and framework description present the EFT as an independent modeling choice whose validity is an external assumption rather than a derived output. No equations or steps in the provided text exhibit the enumerated circular patterns; the study remains a forward application of existing EFT methods to new physics scenarios.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

Abstract only; no explicit free parameters are listed. The effective theory framework is invoked as the analysis setting, and the dark fermion is introduced as the massive invisible state.

axioms (1)

domain assumption The dark sector fermion interactions can be captured by a general weak effective theory applicable to B semileptonic decays.
Stated as the framework within which the analysis is carried out.

invented entities (1)

light dark fermion no independent evidence
purpose: Serves as the massive invisible final-state particle producing the missing energy instead of a massless neutrino.
Postulated in the abstract as an alternative scenario to the Standard Model neutrino.

pith-pipeline@v0.9.1-grok · 5719 in / 1112 out tokens · 29732 ms · 2026-06-26T13:41:03.507177+00:00 · methodology

discussion (0)

Reference graph

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