Abstract
The gravitational form factors of the transition from the proton to the ∆+ resonance are calculated to leading one-loop order using a manifestly Lorentz-invariant formulation of chiral perturbation theory. We take into account the leading electromagnetic and strong isospin-violating effects. The loop contributions to the transition form factors are found to be free of power-counting violating pieces, which is consistent with the absence of tree-level diagrams at the considered order. In this sense, our results can be regarded as predictions of chiral perturbation theory.
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Acknowledgments
This work was supported in part by DFG and NSFC through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (NSFC Grant No. 11621131001, DFG Project-ID 196253076 - TRR 110), by CAS through a President’s International Fellowship Initiative (PIFI) (Grant No. 2018DM0034), by the VolkswagenStiftung (Grant No. 93562), by the MKW NRW under the funding code NW21-024-A, by the EU Horizon 2020 research and innovation programme (STRONG-2020, grant agreement No. 824093), by Guangdong Provincial funding with Grant No. 2019QN01X172, the National Natural Science Foundation of China with Grant No. 12035007 and No. 11947228, Guangdong Major Project of Basic and Applied Basic Research No. 2020B0301030008, and the Department of Science and Technology of Guangdong Province with Grant No. 2022A0505030010.
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Alharazin, H., Sun, BD., Epelbaum, E. et al. Gravitational p → ∆+ transition form factors in chiral perturbation theory. J. High Energ. Phys. 2024, 7 (2024). https://doi.org/10.1007/JHEP03(2024)007
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DOI: https://doi.org/10.1007/JHEP03(2024)007