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PreprintCC BY 4.0arXiv

Tensor-structure sum rules for spin-1 targets at all Q2

  • Vladimir Pascalutsa
  • Marc Vanderhaeghen
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Abstract

We derive a family of sum rules for the tensor structure functions of targets with spin one or higher, rooted in exact Siegert relations. The mixed rank-two TT--LT degeneracy combines amplitudes of opposite crossing parity and, under the superconvergence assumption, gives ∫01 d x [b2(x,Q2)−3b4(x,Q2)]=0 in the Hoodbhoy--Jaffe--Manohar (HJM) basis. At large Q2, the protected moment agrees with Detmold's target-mass-complete twist-two OPE; in the strict Bjorken projection, and if b4 is neglected, it reduces to the Efremov--Teryaev (ET)-type condition ∫01 d x x b1(x)=0, whose measured-range footprint is consistent with the HERMES data. Two further rank-two combinations connect crossing-even amplitudes and determine the corresponding subtraction functions through weighted HJM moments. The protected combination can be isolated through separated tensor LT and TT responses, providing a direct experimental strategy for JLab and, ultimately, a future EIC.

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Cite

BibTeXRIS
BibTeX
@misc{pascalutsa2026tensorstructure,
  title = {{Tensor-structure sum rules for spin-1 targets at all $Q^2$}},
  author = {Vladimir Pascalutsa and Marc Vanderhaeghen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09862},
  eprint = {2610.09862},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09862},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Tensor-structure sum rules for spin-1 targets at all Q^2
AU  - Vladimir Pascalutsa
AU  - Marc Vanderhaeghen
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09862
UR  - https://arxiv.org/abs/2610.09862
AB  - We derive a family of sum rules for the tensor structure functions of targets with spin one or higher, rooted in exact Siegert relations. The mixed rank-two TT--LT degeneracy combines amplitudes of opposite crossing parity and, under the superconvergence assumption, gives ∫_0^1 d x [b_2(x,Q^2)−3b_4(x,Q^2)]=0 in the Hoodbhoy--Jaffe--Manohar (HJM) basis. At large Q^2, the protected moment agrees with Detmold's target-mass-complete twist-two OPE; in the strict Bjorken projection, and if b_4 is neglected, it reduces to the Efremov--Teryaev (ET)-type condition ∫_0^1 d x x b_1(x)=0, whose measured-range footprint is consistent with the HERMES data. Two further rank-two combinations connect crossing-even amplitudes and determine the corresponding subtraction functions through weighted HJM moments. The protected combination can be isolated through separated tensor LT and TT responses, providing a direct experimental strategy for JLab and, ultimately, a future EIC.
ER  -