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PreprintCC BY 4.0arXiv

Baryon-Number Violating Λc Decays from Light-Cone Sum Rules

Abstract

Baryon-number-violating decays with missing energy probe new interactions connecting Standard-Model quarks to light invisible fermions. Such signatures can arise from dimension-six operators coupling three quarks to an SM-singlet fermion χ, which escapes detection. With a suitable baryon-number assignment for χ, total baryon number is conserved while its violation is apparent in the visible sector. We study the exclusive decays Λc→πχ̅ and Λc→ Kχ̅, determining the required form factors using light-cone sum rules with pion and kaon distribution amplitudes. The calculation includes leading-order two-particle contributions up to twist four and factorisable four-particle terms. Two Λc interpolating currents are employed to assess the current dependence. Using single-operator benchmarks based on collider bounds, we obtain branching fractions of order 10−7 over sizeable parts of the physical region, with uncertainty envelopes reaching 10−6 in some scenarios. These are indicative estimates within the retained light-cone expansion. We compare with existing chiral-perturbation-theory and QCD-factorisation estimates and discuss experimental prospects. Future data from STCF and Belle II could probe part of the predicted range, while FCC-ee could reach smaller branching fractions.

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BibTeX
@misc{mohamed2026baryonnumber,
  title = {{Baryon-Number Violating $Λ_c$ Decays from Light-Cone Sum Rules}},
  author = {Ali Mohamed},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37987},
  eprint = {2610.37987},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37987},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Baryon-Number Violating Λ_c Decays from Light-Cone Sum Rules
AU  - Ali Mohamed
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37987
UR  - https://arxiv.org/abs/2610.37987
AB  - Baryon-number-violating decays with missing energy probe new interactions connecting Standard-Model quarks to light invisible fermions. Such signatures can arise from dimension-six operators coupling three quarks to an SM-singlet fermion χ, which escapes detection. With a suitable baryon-number assignment for χ, total baryon number is conserved while its violation is apparent in the visible sector. We study the exclusive decays Λ_c→πχ̅ and Λ_c→ Kχ̅, determining the required form factors using light-cone sum rules with pion and kaon distribution amplitudes. The calculation includes leading-order two-particle contributions up to twist four and factorisable four-particle terms. Two Λ_c interpolating currents are employed to assess the current dependence. Using single-operator benchmarks based on collider bounds, we obtain branching fractions of order 10^−7 over sizeable parts of the physical region, with uncertainty envelopes reaching 10^−6 in some scenarios. These are indicative estimates within the retained light-cone expansion. We compare with existing chiral-perturbation-theory and QCD-factorisation estimates and discuss experimental prospects. Future data from STCF and Belle II could probe part of the predicted range, while FCC-ee could reach smaller branching fractions.
ER  -