- Open Access
Scalar and tensor form factors for from lattice QCD
Phys. Rev. D 114, 014507 – Published 16 July, 2026
DOI: https://doi.org/10.1103/pvrh-c8lt
Abstract
We present a determination of the scalar and tensor transition form factors using lattice QCD. These form factors are relevant for semileptonic hyperon decays in the presence of extensions of the Standard Model that include scalar and tensor interactions. The calculation is carried out using a gauge ensemble of twisted mass fermions at the physical pion mass, following the same strategy as our recent study on vector and axial form factors for the same transition [S. Bacchio and A. Konstantinou, Phys. Rev. Lett. 135, 231901 (2025)]. We provide the complete set of form factors as functions of employing a model-independent parametrization. We examine their impact on searches for nonstandard charged-current interactions via the muon-to-electron decay-rate ratio , where scalar and tensor contributions enter linearly and are helicity enhanced relative to the electron channel. We compare this first-principles prediction for the decay-rate ratio with recent experimental measurements, thereby enabling improved constraints on nonstandard charged-current interactions.
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References (76)
- N. Cabibbo, E. C. Swallow, and R. Winston, Annu. Rev. Nucl. Part. Sci. 53, 39 (2003).
- M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
- M. Ademollo and R. Gatto, Phys. Rev. Lett. 13, 264 (1964).
- V. Cirigliano, S. Gardner, and B. Holstein, Prog. Part. Nucl. Phys. 71, 93 (2013).
- H.-M. Chang, M. González-Alonso, and J. Martin Camalich, Phys. Rev. Lett. 114, 161802 (2015).
- V. Cirigliano, A. Falkowski, M. González-Alonso, and A. Rodríguez-Sánchez, Phys. Rev. Lett. 122, 221801 (2019).
- V. Cirigliano, J. Jenkins, and M. Gonzalez-Alonso, Nucl. Phys. B830, 95 (2010).
- M. González-Alonso and J. Martin Camalich, J. High Energy Phys. 12 (2016) 052.
- D. Bečirević, M. Martines, S. Rosauro-Alcaraz, and O. Sumensari, arXiv:2603.25837.
- T. Bhattacharya, V. Cirigliano, S. D. Cohen, A. Filipuzzi, M. Gonzalez-Alonso, M. L. Graesser, R. Gupta, and H.-W. Lin, Phys. Rev. D 85, 054512 (2012).
- M. González-Alonso, O. Naviliat-Cuncic, and N. Severijns, Prog. Part. Nucl. Phys. 104, 165 (2019).
- A. Walker-Loud et al., Proc. Sci., CD2018 (2020) 020 [arXiv:1912.08321].
- G. S. Bali, S. Collins, S. Heybrock, M. Löffler, R. Rödl, W. Söldner, and S. Weishäupl (RQCD Collaboration), Phys. Rev. D 108, 034512 (2023).
- D. Djukanovic, G. von Hippel, H. B. Meyer, K. Ottnad, and H. Wittig, Phys. Rev. D 109, 074507 (2024).
- C. Alexandrou, S. Bacchio, J. Finkenrath, C. Iona, G. Koutsou, Y. Li, and G. Spanoudes, Phys. Rev. D 111, 054505 (2025).
- Y. Aoki et al. (Flavour Lattice Averaging Group (FLAG) Collaboration), Phys. Rev. D 113, 014508 (2026).
- Y.-C. Jang, R. Gupta, T. Bhattacharya, B. Yoon, and H.-W. Lin (Precision Neutron Decay Matrix Elements (PNDME) Collaboration), Phys. Rev. D 109, 014503 (2024).
- D. Djukanovic, G. von Hippel, J. Koponen, H. B. Meyer, K. Ottnad, T. Schulz, and H. Wittig, Phys. Rev. D 106, 074503 (2022).
- C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, R. Frezzotti, B. Kostrzewa, G. Koutsou, G. Spanoudes, and C. Urbach (Extended Twisted Mass Collaboration), Phys. Rev. D 109, 034503 (2024).
- D. Djukanovic, G. von Hippel, H. B. Meyer, K. Ottnad, M. Salg, and H. Wittig, Phys. Rev. D 109, 094510 (2024).
- R. Tsuji, Y. Aoki, K.-I. Ishikawa, Y. Kuramashi, S. Sasaki, K. Sato, E. Shintani, H. Watanabe, and T. Yamazaki (PACS Collaboration), Phys. Rev. D 109, 094505 (2024).
- C. Alexandrou, S. Bacchio, G. Koutsou, B. Prasad, and G. Spanoudes, arXiv:2507.20910.
- W. Detmold, C. Lehner, and S. Meinel, Phys. Rev. D 92, 034503 (2015).
- S. Meinel, Phys. Rev. Lett. 118, 082001 (2017).
- S. Meinel, Phys. Rev. D 97, 034511 (2018).
- S. Meinel and G. Rendon, Phys. Rev. D 105, 054511 (2022).
- S. Meinel and G. Rendon, Phys. Rev. D 103, 094516 (2021).
- C. Farrell and S. Meinel, Phys. Rev. D 111, 114521 (2025).
- P. E. Shanahan, A. N. Cooke, R. Horsley, Y. Nakamura, P. E. L. Rakow, G. Schierholz, A. W. Thomas, R. D. Young, and J. M. Zanotti, Phys. Rev. D 92, 074029 (2015).
- S. Sasaki, Phys. Rev. D 96, 074509 (2017).
- S. Sasaki and T. Yamazaki, Phys. Rev. D 79, 074508 (2009).
- S. Bacchio and A. Konstantinou, Phys. Rev. Lett. 135, 231901 (2025).
- J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965).
- H. Liu, W. Wang, and Z.-P. Xing, Phys. Rev. D 108, 035008 (2023).
- R. Frezzotti, P. A. Grassi, S. Sint, and P. Weisz (Alpha Collaboration), J. High Energy Phys. 08 (2001) 058.
- R. Frezzotti and G. C. Rossi, J. High Energy Phys. 08 (2004) 007.
- B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).
- C. Alexandrou et al., Phys. Rev. D 98, 054518 (2018).
- J. Finkenrath et al., Proc. Sci., LATTICE2021 (2022) 284 [arXiv:2201.02551].
- C. Alexandrou et al. (Extended Twisted Mass Collaboration), Phys. Rev. D 107, 074506 (2023).
- C. Alexandrou et al. (Extended Twisted Mass Collaboration), Phys. Rev. D 111, 054502 (2025).
- C. Alexandrou et al. (Extended Twisted Mass Collaboration), Phys. Rev. D 104, 074515 (2021).
- C. Alexandrou, S. Bacchio, G. Christou, and J. Finkenrath, Phys. Rev. D 108, 094510 (2023).
- G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, Nucl. Phys. B445, 81 (1995).
- S. Gusken, U. Low, K. H. Mutter, R. Sommer, A. Patel, and K. Schilling, Phys. Lett. B 227, 266 (1989).
- C. Alexandrou, S. Gusken, F. Jegerlehner, K. Schilling, and R. Sommer, Nucl. Phys. B414, 815 (1994).
- M. Albanese et al. (APE Collaboration), Phys. Lett. B 192, 163 (1987).
- C. Alexandrou, M. Constantinou, S. Dinter, V. Drach, K. Jansen, C. Kallidonis, and G. Koutsou, Phys. Rev. D 88, 014509 (2013).
- C. Alexandrou, M. Brinet, J. Carbonell, M. Constantinou, P. A. Harraud, P. Guichon, K. Jansen, T. Korzec, and M. Papinutto, Phys. Rev. D 83, 094502 (2011).
- C. Alexandrou, G. Koutsou, J. W. Negele, and A. Tsapalis, Phys. Rev. D 74, 034508 (2006).
- L. Maiani, G. Martinelli, M. L. Paciello, and B. Taglienti, Nucl. Phys. B293, 420 (1987).
- S. Capitani, M. Della Morte, G. von Hippel, B. Jager, A. Juttner, B. Knippschild, H. B. Meyer, and H. Wittig, Phys. Rev. D 86, 074502 (2012).
- W. I. Jay and E. T. Neil, Phys. Rev. D 103, 114502 (2021).
- E. T. Neil and J. W. Sitison, Phys. Rev. D 109, 014510 (2024).
- R. J. Hill and G. Paz, Phys. Rev. D 82, 113005 (2010).
- S.-Q. Zhang, X.-H. Zhang, and C.-F. Qiao, J. High Energy Phys. 06 (2024) 122.
- M. González-Alonso and J. Martin Camalich, Phys. Rev. Lett. 112, 042501 (2014).
- T. Ledwig, A. Silva, and H.-C. Kim, Phys. Rev. D 82, 034022 (2010).
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- A. Garcia and P. Kielanowski, The Beta Decay of Hyperons, edited by A. Bohm, Vol. 222 (Springer Berlin, Heidelberg, 1985).
- M. Ablikim et al. (BESIII Collaboration), arXiv:2509.09266.
- R. Aaij et al. (LHCb Collaboration), J. High Energy Phys. 04 (2026) 096.
- S.-Q. Zhang and C.-F. Qiao, arXiv:2512.24706.
- V. Cirigliano, M. Gonzalez-Alonso, and M. L. Graesser, J. High Energy Phys. 02 (2013) 046.
- K. Jansen and C. Urbach, Comput. Phys. Commun. 180, 2717 (2009).
- A. Abdel-Rehim, F. Burger, A. Deuzeman, K. Jansen, B. Kostrzewa, L. Scorzato, and C. Urbach, Proc. Sci., LATTICE2013 (2014) 414 [arXiv:1311.5495].
- A. Deuzeman, K. Jansen, B. Kostrzewa, and C. Urbach, Proc. Sci., LATTICE2013 (2014) 416 [arXiv:1311.4521].
- B. Kostrzewa, S. Bacchio, J. Finkenrath, M. Garofalo, F. Pittler, S. Romiti, and C. Urbach (ETM Collaboration), Proc. Sci., LATTICE2022 (2023) 340 [arXiv:2212.06635].
- A. Frommer, K. Kahl, S. Krieg, B. Leder, and M. Rottmann, SIAM J. Sci. Comput. 36, A1581 (2014).
- C. Alexandrou, S. Bacchio, J. Finkenrath, A. Frommer, K. Kahl, and M. Rottmann, Phys. Rev. D 94, 114509 (2016).
- S. Bacchio, C. Alexandrou, and J. Finkerath, EPJ Web Conf. 175, 02002 (2018).
- C. Alexandrou, S. Bacchio, and J. Finkenrath, Comput. Phys. Commun. 236, 51 (2019).
- M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi (QUDA Collaboration), Comput. Phys. Commun. 181, 1517 (2010).
- R. Babich, M. A. Clark, B. Joo, G. Shi, R. C. Brower, and S. Gottlieb (QUDA Collaboration), in International Conference for High Performance Computing, Networking, Storage and Analysis (Association for Computing Machinery, New York, NY, United States, 2011).
- M. A. Clark, B. Joó, A. Strelchenko, M. Cheng, A. Gambhir, and R. C. Brower (QUDA Collaboration), in International Conference for High Performance Computing, Networking, Storage and Analysis (IEEE, 2016).
- www.gauss-centre.eu.