scholarly journals Few-nucleon matrix elements in pionless effective field theory in a finite volume

2021 ◽  
Vol 103 (7) ◽  
Author(s):  
W. Detmold ◽  
P. E. Shanahan
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Matrix Elements

scholarly journals On the three-particle analog of the Lellouch-Lüscher formula

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Fabian Müller ◽  
Akaki Rusetsky
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Infinite Volume ◽  
Leading Order ◽  
Particle Decay ◽  
Particle Decays

Abstract Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

scholarly journals Hamiltonian effective field theory in elongated or moving finite volume

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Yan Li ◽  
Jia-Jun Wu ◽  
Derek B. Leinweber ◽  
Anthony W. Thomas
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field

scholarly journals Application of effective field theory to finite-volume effects in aμHVP

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Christopher Aubin ◽  
Thomas Blum ◽  
Maarten Golterman ◽  
Santiago Peris
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Volume Effects

scholarly journals |Vub| AND |Vcb|, CHARM COUNTING AND LIFETIME DIFFERENCES IN INCLUSIVE BOTTOM HADRON DECAYS

2001 ◽  
Vol 16 (02) ◽  
pp. 285-302
Author(s):  
Y. L. WU ◽  
Y. A. YAN
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Heavy Quark ◽  
Effective Field Theory ◽  
Effective Field ◽  
Branch Ratio ◽  
Matrix Elements ◽  
Present Experimental Data ◽  
Mixing Matrix ◽  
Inclusive Semileptonic Decays

Inclusive bottom hadron decays are analyzed based on the heavy quark effective field theory (HQEFT). Special attentions in this paper are paid to the b→u transitions and nonspectator effects. As a consequence, the CKM quark mixing matrix elements |Vub| and |Vcb| are reliably extracted from the inclusive semileptonic decays B→Xueν and B→Xceν. Various observables, such as the semileptonic branch ratio BSL, the lifetime differences among B-, B0, Bsand Λbhadrons, the charm counting nc, are predicted and found to be consistent with the present experimental data.

scholarly journals An alternative scheme for effective range corrections in pionless EFT

2021 ◽  
Vol 57 (12) ◽  
Author(s):  
M. Ebert ◽  
H.-W. Hammer ◽  
A. Rusetsky
Keyword(s):  
Field Theory ◽  
Finite Volume ◽  
Effective Field Theory ◽  
Effective Field ◽  
Effective Range ◽  
Standard Approach ◽  
Singular Behavior ◽  
Alternative Scheme ◽  
Model Potentials ◽  
Good Convergence

AbstractWe discuss an alternative scheme for including effective range corrections in pionless effective field theory. The standard approach treats range terms as perturbative insertions in the T-matrix. In a finite volume this scheme can lead to singular behavior close to the unperturbed energies. We consider an alternative scheme that resums the effective range but expands the spurious pole of the T-matrix created by this resummation. We test this alternative expansion for several model potentials and observe good convergence.

scholarly journals LARGE COMPONENT QCD AND THEORETICAL FRAMEWORK OF HEAVY QUARK EFFECTIVE FIELD THEORY

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5743-5792 ◽  
Author(s):  
YUE-LIANG WU
Keyword(s):  
Field Theory ◽  
Heavy Quark ◽  
Effective Field Theory ◽  
Transition Matrix ◽  
Lorentz Invariance ◽  
Theoretical Framework ◽  
Effective Field ◽  
Matrix Elements ◽  
Large Component ◽  
Transition Matrix Elements

Based on a large component QCD derived directly from full QCD by integrating over the small components of quark fields with |p| < E + mQ, an alternative quantization procedure is adopted to establish a basic theoretical framework of heavy quark effective field theory (HQEFT) in the sense of effective quantum field theory. The procedure concerns quantum generators of Poincaré group, Hilbert and Fock space, anticommutations and velocity superselection rule, propagator and Feynman rules, finite mass corrections, trivialization of gluon couplings and renormalization of Wilson loop. The Lorentz invariance and discrete symmetries in HQEFT are explicitly illustrated. Some new symmetries in the infinite mass limit are discussed. Weak transition matrix elements and masses of hadrons in HQEFT are well defined to display a manifest spin-flavor symmetry and 1/mQcorrections. A simple trace formulation approach is explicitly demonstrated by using LSZ reduction formula in HQEFT, and shown to be very useful for parametrizing the transition form factors via 1/mQexpansion. As the heavy quark and antiquark fields in HQEFT are treated on the same footing in a fully symmetric way, the quark–antiquark coupling terms naturally appear and play important roles for simplifying the structure of transition matrix elements, and for understanding the introduction of "dressed heavy quark"–hadron duality. In the case that the "longitudinal" and "transverse" residual momenta of heavy quark are at the same order of power counting, HQEFT provides a consistent approach for systematically analyzing heavy quark expansion in terms of 1/mQ. Some interesting features in applications of HQEFT to heavy hadron systems are briefly outlined.

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