Fetching the paper…

Reading the bibliography…

2012

Multiple-channel generalization of Lellouch-Luscher formula

Hansen, Maxwell T., Sharpe, Stephen R.

Original
PDF
Post on X

Understand

We generalize the Lellouch-Luscher formula, relating weak matrix elements in finite and infinite volumes, to the case of multiple strongly-coupled decay channels into two scalar particles.

This is a necessary first step on the way to a lattice QCD calculation of weak decay rates for processes such as D -> pi pi and D -> KK.
We also present a field theoretic derivation of the generalization of Luscher's finite volume quantization condition to multiple two-particle channels.
We give fully explicit results for the case of two channels, including a form of the generalized Lellouch-Luscher formula expressed in terms of derivatives of the energies of finite volume states with respect to the box size.

Multiple-channel generalization of Lellouch-Luscher formula · Around

Built on

J. M. Blatt and L. C. Biedenharn, Phys. Rev., 86
1952
Earlier work this paper cites.
M. Golden and B. Grinstein, Phys.Lett., B222
1989
Earlier work this paper cites.
K. Rummukainen and S. A. Gottlieb, Nucl.Phys., B450
1995
Earlier work this paper cites.
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, (Cambridge University Press) (1995)
1995
Earlier work this paper cites.
L. Lellouch and M. Lüscher, Commun.Math.Phys., 219
2001
Earlier work this paper cites.
C. D. Lin, G. Martinelli, C. T. Sachrajda, and M. Testa, Nucl.Phys., B619
2001
Earlier work this paper cites.
C. Kim, C. Sachrajda, and S. R. Sharpe, Nucl.Phys., B727
2005
Earlier work this paper cites.
N. H. Christ, C. Kim, and T. Yamazaki, Phys.Rev., D72
2005
Earlier work this paper cites.
C. Liu, X. Feng, and S. He, Int.J.Mod.Phys., A21
2006
Earlier work this paper cites.
M. Lage, U.-G. Meissner, and A. Rusetsky, Phys.Lett., B681
Original
2009
Earlier work this paper cites.

Similar

K. Nakamura et al. (Particle Data Group), J.Phys.G, G37
2010
Cited alongside, same era.
T. Blum, P. Boyle, N. Christ, N. Garron, E. Goode, et al. , Phys.Rev., D84
Original
2011
Cited alongside, same era.
J. Brod, A. L. Kagan, and J. Zupan, (2011), arXiv:1111.5000 [hep-ph]
Original
2011
Cited alongside, same era.
V. Bernard, M. Lage, U.-G. Meissner, and A. Rusetsky, JHEP, 1101
Original
2011
Cited alongside, same era.
M. Doring, U.-G. Meissner, E. Oset, and A. Rusetsky, Eur.Phys.J., A47
Original
2011
Cited alongside, same era.

Then

G. Isidori, J. F. Kamenik, Z. Ligeti, and G. Perez, Phys.Lett., B711
Original
2012
Closest in time.
B. Bhattacharya, M. Gronau, and J. L. Rosner, Phys.Rev., D85
Original
2012
Closest in time.
E. Franco, S. Mishima, and L. Silvestrini, JHEP, 1205
Original
2012
Closest in time.
J. Brod, Y. Grossman, A. L. Kagan, and J. Zupan, (2012), arXiv:1203.6659 [hep-ph]
Original
2012
Closest in time.
K. Polejaeva and A. Rusetsky, (2012), arXiv:1203.1241 [hep-lat]
Original
2012
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

S. Aoki et al. (HAL QCD Collaboration), Proc.Japan Acad., B87

2011

Cited alongside, same era.

Z. Davoudi and M. J. Savage, Phys.Rev., D84

2011

Cited alongside, same era.

T. Blum, P. Boyle, N. Christ, N. Garron, E. Goode, et al. , Phys.Rev.Lett., 108

2012

Cited alongside, same era.

R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett., 108

2012

Cited alongside, same era.

M. Lüscher, Commun. Math. Phys., 104

Cited in the paper.

M. Lüscher, Commun. Math. Phys., 105

Cited in the paper.

M. Lüscher, Nucl. Phys., B354

Cited in the paper.

H. B. Meyer, (2012), arXiv:1202.6675 [hep-lat]

Original

2012

Closest in time.

R. A. Briceno and Z. Davoudi, (2012), arXiv:1204.1110 [hep-lat]

2012

Closest in time.

Z. Fu, Phys.Rev., D85

2012

Closest in time.

L. Leskovec and S. Prelovsek, Phys.Rev., D85

2012

Closest in time.