- Letter
- Open Access
Kinematically enhanced interpolating operators for boosted hadrons
Phys. Rev. D 112, L051502 – Published 24 September, 2025
DOI: https://doi.org/10.1103/6dh4-6k4t
Abstract
We propose to use interpolating operators for lattice quantum chromodynamics calculations of highly boosted pions and nucleons with kinematically enhanced ground-state overlap factors at large momentum. Because this kinematic enhancement applies to the signal but not the variance of the correlation function, these interpolating operators can achieve better signal-to-noise ratios at large momentum. We perform proof-of-principle calculations with boosted pions and nucleons using close-to-physical and larger quark masses to explore the utility of our proposal. Results for effective energies and matrix elements, as well as Lanczos ground-state energy estimators, are consistent with theoretical expectations for signal-to-noise improvement at large momenta.
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References (74)
- ATLAS, CMS Collaborations, CERN Yellow Rep. Monogr. 7 (2019).
- A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).
- R. Abdul Khalek et al., Nucl. Phys. A1026, 122447 (2022).
- A. C. Aguilar et al., Eur. Phys. J. A 55, 190 (2019).
- J. Dudek et al., Eur. Phys. J. A 48, 187 (2012).
- D. G. G. M. Huber et al., Jefferson Lab Experiment E12-06-101 (2006).
- B. Aubert et al. (BABAR Collaboration), Phys. Rev. Lett. 86, 2515 (2001).
- K. Abe et al. (Belle Collaboration), Phys. Rev. Lett. 87, 091802 (2001).
- J. Charles, A. Hocker, H. Lacker, S. Laplace, F. R. Le Diberder, J. Malcles, J. Ocariz, M. Pivk, and L. Roos (CKMfitter Group Collaboration), Eur. Phys. J. C 41, 1 (2005).
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 122, 211803 (2019).
- R. Aaij et al. (LHCb Collaboration), Nature (London) 643, 1223 (2025).
- Y. Aoki et al. (Flavour Lattice Averaging Group (FLAG), arXiv:2411.04268.
- K.-F. Liu and S.-J. Dong, Phys. Rev. Lett. 72, 1790 (1994).
- W. Detmold and C. J. D. Lin, Phys. Rev. D 73, 014501 (2006).
- V. Braun and D. Müller, Eur. Phys. J. C 55, 349 (2008).
- A. J. Chambers, R. Horsley, Y. Nakamura, H. Perlt, P. E. L. Rakow, G. Schierholz, A. Schiller, K. Somfleth, R. D. Young, and J. M. Zanotti, Phys. Rev. Lett. 118, 242001 (2017).
- X. Ji, Phys. Rev. Lett. 110, 262002 (2013).
- X. Ji, J.-H. Zhang, and Y. Zhao, Phys. Rev. Lett. 111, 112002 (2013).
- X. Ji, Sci. China Phys. Mech. Astron. 57, 1407 (2014).
- Y.-B. Yang, R. S. Sufian, A. Alexandru, T. Draper, M. J. Glatzmaier, K.-F. Liu, and Y. Zhao, Phys. Rev. Lett. 118, 102001 (2017).
- A. V. Radyushkin, Phys. Rev. D 96, 034025 (2017).
- Y.-Q. Ma and J.-W. Qiu, Phys. Rev. Lett. 120, 022003 (2018).
- W. Detmold, A. V. Grebe, I. Kanamori, C. J. D. Lin, R. J. Perry, and Y. Zhao (HOPE Collaboration), Phys. Rev. D 104, 074511 (2021).
- X. Ji, Y.-S. Liu, Y. Liu, J.-H. Zhang, and Y. Zhao, Rev. Mod. Phys. 93, 035005 (2021).
- M. Constantinou et al., arXiv:2202.07193.
- M.-H. Chu et al. (Lattice Parton (LPC) Collaboration), J. High Energy Phys. 08 (2023) 172.
- J. Koponen, A. C. Zimermmane-Santos, C. T. H. Davies, G. P. Lepage, and A. T. Lytle, Phys. Rev. D 96, 054501 (2017).
- A. J. Chambers et al. (QCDSF, UKQCD, CSSM Collaborations), Phys. Rev. D 96, 114509 (2017).
- C. T. H. Davies, J. Koponen, P. G. Lepage, A. T. Lytle, and A. C. Zimermmane-Santos (HPQCD Collaboration), Proc. Sci. LATTICE2018 (2018) 298 [arXiv:1902.03808].
- A. Bazavov et al. (Fermilab Lattice, MILC Collaborations), Phys. Rev. D 107, 094516 (2023).
- W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD Collaboration), Phys. Rev. D 107, 014510 (2023).
- L. Leskovec, S. Meinel, M. Petschlies, J. Negele, S. Paul, and A. Pochinsky, Phys. Rev. Lett. 134, 161901 (2025).
- X. Gao, A. D. Hanlon, S. Mukherjee, P. Petreczky, P. Scior, S. Syritsyn, and Y. Zhao, Phys. Rev. Lett. 128, 142003 (2022).
- A. Avkhadiev, P. E. Shanahan, M. L. Wagman, and Y. Zhao, Phys. Rev. Lett. 132, 231901 (2024).
- Z. Fan, W. Good, and H.-W. Lin, Phys. Rev. D 108, 014508 (2023).
- F. Yao et al. (Lattice Parton Collaboration), Phys. Rev. Lett. 131, 261901 (2023).
- H.-T. Ding, X. Gao, A. D. Hanlon, S. Mukherjee, P. Petreczky, Q. Shi, S. Syritsyn, R. Zhang, and Y. Zhao, Phys. Rev. Lett. 133, 181902 (2024).
- D. S. Roberts, W. Kamleh, D. B. Leinweber, M. S. Mahbub, and B. J. Menadue, Phys. Rev. D 86, 074504 (2012).
- M. Della Morte, B. Jaeger, T. Rae, and H. Wittig, Eur. Phys. J. A 48, 139 (2012).
- G. S. Bali, B. Lang, B. U. Musch, and A. Schäfer, Phys. Rev. D 93, 094515 (2016).
- C. Egerer, R. G. Edwards, K. Orginos, and D. G. Richards, Phys. Rev. D 103, 034502 (2021).
- M. Burkardt, X.-d. Ji, and F. Yuan, Phys. Lett. B 545, 345 (2002).
- X.-d. Ji, J.-P. Ma, and F. Yuan, Eur. Phys. J. C 33, 75 (2004).
- G. Parisi, Phys. Rep. 103, 203 (1984).
- G. P. Lepage, in Theoretical Advanced Study Institute in Elementary Particle Physics (1989).
- M. L. Wagman, Phys. Rev. Lett. 134, 241901 (2025).
- D. C. Hackett and M. L. Wagman, arXiv:2407.21777.
- J. Ostmeyer, A. Sen, and C. Urbach, Eur. Phys. J. A 61, 26 (2025).
- D. Chakraborty, D. Sood, A. Radhakrishnan, and N. Mathur, arXiv:2412.01900.
- D. C. Hackett and M. L. Wagman, Phys. Rev. D 112, 014514 (2025).
- R. Abbott, D. C. Hackett, G. T. Fleming, D. A. Pefkou, and M. L. Wagman, arXiv:2503.17357.
- G. P. Lepage and S. J. Brodsky, Phys. Lett. 87B, 359 (1979).
- A. V. Efremov and A. V. Radyushkin, Phys. Lett. 94B, 245 (1980).
- C. E. Thomas, R. G. Edwards, and J. J. Dudek, Phys. Rev. D 85, 014507 (2012).
- C. Morningstar, J. Bulava, B. Fahy, J. Foley, Y. C. Jhang, K. J. Juge, D. Lenkner, and C. H. Wong, Phys. Rev. D 88, 014511 (2013).
- W. Detmold, W. I. Jay, G. Kanwar, P. E. Shanahan, and M. L. Wagman, Phys. Rev. D 109, 094516 (2024).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/6dh4-6k4t for more derivations, numerical results, and further discussions on related topics.
- D. Bollweg, X. Gao, J. He, S. Mukherjee, and Y. Zhao, Phys. Rev. D 112, 034501 (2025).
- X. Gao, A. D. Hanlon, N. Karthik, S. Mukherjee, P. Petreczky, P. Scior, S. Shi, S. Syritsyn, Y. Zhao, and K. Zhou, Phys. Rev. D 106, 114510 (2022).
- J. J. Dudek, R. G. Edwards, and C. E. Thomas, Phys. Rev. D 86, 034031 (2012).
- W. Detmold, A. V. Grebe, I. Kanamori, C. J. D. Lin, R. J. Perry, and Y. Zhao (HOPE Collaboration), Proc. Sci. LATTICE2022 (2023) 119 [arXiv:2211.17009].
- D. Kovner, J. Karpie, K. Orginos, A. Radyushkin, and S. Zafeiropoulos (HadStruc Collaboration), Proc. Sci. LATTICE2023 (2024) 300 [arXiv:2401.06858].
- V. Braun, R. J. Fries, N. Mahnke, and E. Stein, Nucl. Phys. B589, 381 (2000); B607, 433(E) (2001).
- J. M. Zanotti, D. B. Leinweber, A. G. Williams, J. B. Zhang, W. Melnitchouk, and S. Choe (CSSM Lattice Collaboration), Phys. Rev. D 68, 054506 (2003).
- J. M. Zanotti, S. Choe, D. B. Leinweber, W. Melnitchouk, A. G. Williams, and J. B. Zhang, Nucl. Phys. B, Proc. Suppl. 119, 299 (2003).
- A. Bazavov et al. (MILC Collaboration), Phys. Rev. D 87, 054505 (2013).
- K. Symanzik, Nucl. Phys. B226, 187 (1983).
- A. Hasenfratz and F. Knechtli, Phys. Rev. D 64, 034504 (2001).
- B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).
- X. Gao, W.-Y. Liu, and Y. Zhao, Phys. Rev. D 109, 094506 (2024).
- T. D. Blanton, A. D. Hanlon, B. Hörz, C. Morningstar, F. Romero-López, and S. R. Sharpe, J. High Energy Phys. 10 (2021) 023.
- T. Blum et al. (RBC, UKQCD Collaborations), Phys. Rev. D 104, 114506 (2021).
- R. J. Hudspith (RBC, UKQCD Collaborations), Comput. Phys. Commun. 187, 115 (2015).
- M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi (QUDA Collaboration), Comput. Phys. Commun. 181, 1517 (2010).