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Isospin breaking effects due to the up-down mass difference in lattice QCD

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Abstract

We present a new method to evaluate with high precision leading isospin breaking effects due to the small mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can be computed on the lattice. It is based on the expansion of the path-integral in powers of the small parameter m d − m u . In this paper, we apply this method to compute the leading isospin breaking effects for several physical quantities of interest: the kaon meson masses, the kaon decay constant, the form factors of semileptonic K ℓ3 decays and the neutron-proton mass splitting.

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Authors and Affiliations

  1. Dip. di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, I-00133, Rome, Italy

    G. M. de Divitiis, R. Frezzotti, R. Petronzio, G. C. Rossi & N. Tantalo

  2. INFN, Sez. di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, I-00133, Rome, Italy

    G. M. de Divitiis, R. Frezzotti, R. Petronzio, G. C. Rossi & N. Tantalo

  3. Dip. di Fisica, Università di Roma “La Sapienza”, P.le A. Moro 5, I-00185, Rome, Italy

    P. Dimopoulos & F. Sanfilippo

  4. INFN, Sezione di Roma, P.le A. Moro 5, I-00185, Rome, Italy

    P. Dimopoulos, G. Martinelli & F. Sanfilippo

  5. Dip. di Fisica, Università Roma Tre, Via della Vasca Navale 84, I-00146, Rome, Italy

    V. Lubicz & C. Tarantino

  6. INFN, Sez. di Roma III, Via della Vasca Navale 84, I-00146, Rome, Italy

    V. Lubicz, S. Simula & C. Tarantino

  7. SISSA, Via Bonomea 265, I-34136, Trieste, Italy

    G. Martinelli

Authors
  1. G. M. de Divitiis
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  2. P. Dimopoulos
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  3. R. Frezzotti
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  4. V. Lubicz
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  5. G. Martinelli
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  6. R. Petronzio
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  7. G. C. Rossi
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  8. F. Sanfilippo
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  9. S. Simula
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  10. N. Tantalo
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  11. C. Tarantino
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RM123 collaboration

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Correspondence to N. Tantalo.

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ArXiv ePrint: 1110.6294

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RM123 collaboration., de Divitiis, G.M., Dimopoulos, P. et al. Isospin breaking effects due to the up-down mass difference in lattice QCD. J. High Energ. Phys. 2012, 124 (2012). https://doi.org/10.1007/JHEP04(2012)124

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  • DOI: https://doi.org/10.1007/JHEP04(2012)124

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