K+ → π+π0 decays at next-to-leading order in the chiral expansion on finite volumes

Abstract We report on the calculation of the CP-violating form factor F3 and the corresponding electric dipole moment for charmed baryons in the spin-1/2 sector generated by the QCD θ-term. We work in the framework of covariant baryon chiral perturbation theory within the extended-on-mass-shell renormalization scheme up to next-to-leading order in the chiral expansion.

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CHIRAL EFFECTIVE POTENTIAL WITH DELTA DEGREES OF FREEDOM

International Journal of Modern Physics A ◽

10.1142/s0217751x09043961 ◽

2009 ◽

Vol 24 (02n03) ◽

pp. 511-514

Author(s):

H. KREBS ◽

E. EPELBAUM ◽

ULF-G. MEIßNER

Keyword(s):

Effective Field Theory ◽

Degrees Of Freedom ◽

Effective Field ◽

Chiral Expansion ◽

Leading Order ◽

Nuclear Forces ◽

Charge Symmetry Breaking ◽

Chiral Effective Field Theory ◽

Charge Symmetry ◽

Full Theory

Using chiral effective field theory (EFT) with explicit Δ degrees of freedom we calculated nuclear forces up to next-to-next-to-leading order (NNLO). We found much better convergence of the chiral expansion in all peripheral partial waves. We also observe strong cancellations between charge-symmetry-breaking (CSB) contributions due to nucleon- and Δ-mass splittings in the two-pion-exchange potentials. The CSB potentials appear to be weaker in the Δ-full theory.

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3H at Next-to-Next-to-Next-to Leading Order of the Chiral Expansion

Few-Body Systems ◽

10.1007/s00601-013-0604-6 ◽

2013 ◽

Vol 54 (7-10) ◽

pp. 1315-1318 ◽

Cited By ~ 2

Author(s):

R. Skibiński ◽

J. Golak ◽

K. Topolnicki ◽

H. Witała ◽

E. Epelbaum ◽

...

Keyword(s):

Chiral Expansion ◽

Leading Order

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Electric dipole moment of light nuclei in chiral effective field theory

EPJ Web of Conferences ◽

10.1051/epjconf/202225806007 ◽

2022 ◽

Vol 258 ◽

pp. 06007

Author(s):

Alex Gnech ◽

Jordy de Vries ◽

Sachin Shain ◽

Michele Viviani

Keyword(s):

Field Theory ◽

Dipole Moment ◽

Electric Dipole Moment ◽

Effective Field Theory ◽

Electric Dipole ◽

Effective Field ◽

Chiral Expansion ◽

Nuclear Potential ◽

Leading Order ◽

Chiral Effective Field Theory

CP-violating interactions at quark level generate CP-violating nuclear interactions and currents, which could be revealed by looking at the presence of a permanent nuclear electric dipole moment. Within the framework of chiral effective field theory, we discuss the derivation of the CP-violating nuclear potential up to next-to-next-to leading order (N2LO) and the preliminary results for the charge operator up to next-to leading order (NLO). Moreover, we introduce some renormalization argument which indicates that we need to promote the short-distance operator to the leading order (LO) in order to reabsorb the divergences generated by the one pion exchange. Finally, we present some selected numerical results for the electric dipole moments of 2H, 3He and 3H discussing the systematic errors introduced by the truncation of the chiral expansion.

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