Probing Signatures of Right-Handed Neutrinos via $b \to s \nu \bar\nu$ Decays

Dinesh Kumar; Jitendra Kumar; Prisha; Priyanka Boora

arxiv: 2606.08273 · v1 · pith:2ZY5G6GPnew · submitted 2026-06-06 · ✦ hep-ph

Probing Signatures of Right-Handed Neutrinos via b to s ν barν Decays

Prisha , Priyanka Boora , Dinesh Kumar , Jitendra Kumar This is my paper

Pith reviewed 2026-06-27 19:18 UTC · model grok-4.3

classification ✦ hep-ph

keywords right-handed neutrinosb to s nu nubarBelle IInew physicseffective field theorybranching fractionspolarization fractionflavor anomalies

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The pith

Belle II measurement of B to K nu nubar constrains right-handed neutrino operators in b to s transitions.

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

The paper investigates whether right-handed neutrinos can explain the recent Belle II measurement showing a deviation in the branching fraction of B+ to K+ nu nubar from Standard Model expectations. It performs a model-independent analysis in the low-energy effective theory restricted to dimension-six vector operators involving right-handed neutrinos. Combining the Belle II central value with the upper limit on B to K* nu nubar places bounds on the new physics couplings. The resulting parameter space predicts sizeable enhancements in the branching fractions of B to K* nu nubar, Bs to phi nu nubar, and Lambda_b to Lambda nu nubar while the longitudinal polarization fraction F_L^K* supplies independent information on the operator structure. These correlations yield concrete predictions that can be tested at Belle II, LHCb, and FCC-ee.

Core claim

Using the Belle II measurement of B(B+ to K+ nu nubar) together with the upper limit on B(B to K* nu nubar), dimension-six vector operators involving right-handed neutrinos are constrained in a model-independent way, producing sizeable enhancements in the branching fractions of the studied b to s nu nubar modes and allowing F_L^K* to distinguish among the underlying right-handed neutrino interaction structures.

What carries the argument

Dimension-six vector operators involving right-handed neutrinos in the effective theory for b to s nu nubar transitions

If this is right

Sizeable enhancements appear in B(B to K* nu nubar), B(Bs to phi nu nubar), and B(Lambda_b to Lambda nu nubar).
The branching fractions of the different modes exhibit strong correlations.
The longitudinal polarization fraction F_L^K* supplies complementary sensitivity to the right-handed neutrino operator structure.
Testable signatures are expected at Belle II, LHCb, and the future FCC-ee experiment.

Where Pith is reading between the lines

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

If the predicted enhancements are observed, the same operator framework could be applied to other flavor-changing processes to search for consistent right-handed neutrino effects.
Future high-precision data could resolve the relative sizes of different operator coefficients and thereby identify the dominant interaction structure.
The approach could be combined with constraints from neutrino mass generation mechanisms to test whether the same right-handed neutrinos appear in both sectors.

Load-bearing premise

The observed deviation is produced solely by dimension-six vector operators with right-handed neutrinos and receives no significant contributions from other new physics or higher-dimensional operators.

What would settle it

A precision measurement returning the B to K nu nubar branching fraction to the Standard Model value or yielding an F_L^K* value outside the range allowed by the constrained operators would falsify the right-handed neutrino explanation within this setup.

Figures

Figures reproduced from arXiv: 2606.08273 by Dinesh Kumar, Jitendra Kumar, Prisha, Priyanka Boora.

**Figure 2.** Figure 2: FIG. 2. Correlation of [PITH_FULL_IMAGE:figures/full_fig_p012_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Correlations of [PITH_FULL_IMAGE:figures/full_fig_p013_3.png] view at source ↗

read the original abstract

The recent Belle II measurement of $\mathcal{B}(B^+\to K^+\nu\bar{\nu})$, which deviates from the Standard Model prediction, provides a strong motivation to search for New Physics in $b\to s\nu\bar{\nu}$ transitions. We perform a model-independent analysis within the low-energy effective theory, focusing on dimension-six vector operators involving right-handed neutrinos. Using the Belle II measurement of $\mathcal{B}({B\to K\nu\bar{\nu}})$ together with the upper limit on $\mathcal{B}({B\to K^{*}\nu\bar{\nu}})$, we constrain the new physics interactions. We study the correlation of $\mathcal{B}({B\to K\nu\bar{\nu}})$ with $\mathcal{B}({B\to K^{*}\nu\bar{\nu}})$, $\mathcal{B}({B_s\to\phi\nu\bar{\nu}})$, $\mathcal{B}({\Lambda_b\to\Lambda\nu\bar{\nu}})$, and the longitudinal polarization fraction $F_L^{K^*}$. We find sizeable enhancements in all branching fractions studied, while $F_L^{K^*}$ offers complementary sensitivity to the underlying RHN interaction structure. These results provide testable signatures of right-handed neutrino interactions at Belle~II and LHCb, and at the future FCC-ee experiment.

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 correlations from the Belle II B to K nu nubar excess under right-handed neutrino vector operators but ties its claims to that narrow operator set.

read the letter

The core contribution is taking the recent Belle II central value for B(B+ to K+ nu nubar) and the B to K* upper limit, fitting the Wilson coefficients of dimension-six vector operators with right-handed neutrinos, then showing the resulting enhancements in B to K*, Bs to phi, and Lambda_b to Lambda, plus the shift in F_L^{K*}. Those correlations and the note that F_L gives extra handle on the operator structure are the concrete additions.

The work is competent within its stated scope. The predictions are presented clearly enough that a reader can see what Belle II, LHCb, or FCC-ee would measure if the assumption holds. The citation pattern covers the main prior EFT papers on b to s nu nubar.

The soft spot is exactly the one the stress-test note flags. Everything rests on restricting to those specific vector RHN operators. No scan over scalars, tensors, left-handed neutrinos, or higher-dimensional terms is shown, so it is not yet clear whether the same data pattern could be reproduced by other new physics while producing different correlations. That makes the link to right-handed neutrinos conditional rather than secured.

The math itself follows the usual effective-theory fitting steps; nothing in the visible treatment looks inconsistent, though the abstract gives no error budgets or explicit formulas to inspect further.

This is for people already following the b-anomaly literature who want quick, correlated predictions under one popular operator class. A reader working on broader operator bases or global fits would need the wider scan before relying on the numbers.

It deserves peer review. The topic is current, the correlations are testable, and the limitation is stated up front; referees can ask for the broader check if they think it matters.

Referee Report

1 major / 0 minor

Summary. The paper performs a model-independent analysis in the low-energy effective theory, restricted to dimension-six vector operators involving right-handed neutrinos. It uses the Belle II central value for B(B+ → K+ νν̄) together with the upper limit on B(B → K* νν̄) to constrain the relevant Wilson coefficients, then examines correlations of this branching fraction with B(B → K* νν̄), B(Bs → φ νν̄), B(Λb → Λ νν̄), and the longitudinal polarization fraction F_L^{K*}. The analysis reports sizeable enhancements in all branching fractions and notes that F_L^{K*} provides complementary sensitivity to the underlying RHN operator structure, yielding testable predictions for Belle II, LHCb, and FCC-ee.

Significance. If the results hold within the stated operator subspace, the work supplies concrete, correlated predictions for multiple b → s νν̄ channels and demonstrates the diagnostic power of F_L^{K*} for distinguishing vector RHN interactions. This directly ties a recent experimental anomaly to future observables and gives credit for the explicit use of the Belle II measurement to fix parameters and derive falsifiable correlations.

major comments (1)

[Abstract and §2] Abstract and §2 (operator basis): the headline claims of 'signatures of right-handed neutrino interactions' and the reported correlations rest on the explicit restriction to dimension-six vector operators with RH neutrinos only. No quantitative scan or comparison is provided against scalar/tensor operators or left-handed neutrino contributions that could produce a comparable shift in B(B → K νν̄) while satisfying the B → K* upper limit; without this, the extracted parameter space and predicted enhancements are not shown to be unique to the RHN case.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful review and the recommendation of major revision. We respond to the major comment below.

read point-by-point responses

Referee: [Abstract and §2] Abstract and §2 (operator basis): the headline claims of 'signatures of right-handed neutrino interactions' and the reported correlations rest on the explicit restriction to dimension-six vector operators with RH neutrinos only. No quantitative scan or comparison is provided against scalar/tensor operators or left-handed neutrino contributions that could produce a comparable shift in B(B → K νν̄) while satisfying the B → K* upper limit; without this, the extracted parameter space and predicted enhancements are not shown to be unique to the RHN case.

Authors: Our analysis is explicitly limited to dimension-six vector operators involving right-handed neutrinos, as stated in the title, abstract, and Section 2. The objective is to map out the signatures and correlations that follow within this well-defined subspace, using the Belle II central value and the B → K* upper limit to fix the allowed Wilson coefficients. We do not claim that the resulting enhancements or correlations are unique to right-handed neutrinos, nor do we exclude the possibility that scalar/tensor operators or left-handed neutrino contributions could produce comparable shifts while satisfying the same experimental inputs. Such a broader comparison lies outside the stated scope of the work. The predictions remain testable and falsifiable under the assumptions adopted in the manuscript. revision: no

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper restricts its scope explicitly to dimension-six vector operators with right-handed neutrinos, fits Wilson coefficients to the Belle II central value (plus the K* upper limit), and then computes correlations and enhancements for other branching fractions and F_L^{K*}. This is standard conditional EFT phenomenology using external data; no equation reduces by construction to a self-definition, no fitted parameter is renamed as an independent prediction, and no load-bearing premise rests on a self-citation chain. The operator restriction is stated as an assumption rather than derived, so the derivation chain remains self-contained against the cited experimental inputs.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

Abstract only limits visibility; the central claim rests on standard EFT assumptions and data-driven constraints on operator coefficients, with no new entities introduced.

free parameters (1)

Wilson coefficients of vector operators with RH neutrinos
Fitted or constrained from Belle II branching fraction data to produce the stated bounds and enhancements.

axioms (1)

domain assumption Low-energy effective theory with dimension-six operators is sufficient to describe the b to s nu nubar transitions
Invoked to justify the model-independent analysis framework.

pith-pipeline@v0.9.1-grok · 5779 in / 1165 out tokens · 18515 ms · 2026-06-27T19:18:49.882851+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

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