Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories

Abstract

Since fields in the heavy quark effective theory are described by both a velocity and a residual momentum, there is redundancy in the theory: small shifts in velocity may be absorbed into a redefinition of the residual momentum. We demonstrate that this trivial reparameterisation invariance has non-trivial consequences: it relates coefficients of terms of different orders in the $1/m$ expansion and requires linear combinations of these operators to be multiplicatively renormalised. For example, the operator $-D^2/2m$ in the effective lagrangian has zero anomalous dimension, coefficient one, and does not receive any non-perturbative contributions from matching conditions. We also demonstrate that this invariance severely restricts the forms of operators which may appear in chiral lagrangians for heavy particles.

(14 pages, 0 figures), UCSD/PTH 92-15

Cited by in corpus (266)

• Heavy Quark Symmetry
• The $XYZ$ states: experimental and theoretical status and perspectives
• Phenomenology of Heavy Meson Chiral Lagrangians
• Effective field theories for heavy quarkonium
• Renormalons
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• QCD forces and heavy quark bound states
• QCD and strongly coupled gauge theories: challenges and perspectives
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD
• Effective Field Theory for Short-Range Forces
• Asymptotics of Heavy-Meson Form Factors
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Effective Field Theory of Nuclear Forces
• Combined analysis of semileptonic $B$ decays to $D$ and $D^{\ast }$: $R(D^{(\ast )})$, $|V_{cb}|$, and new physics
• Large-Momentum Effective Theory
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Treating the b quark distribution function with reliable uncertainties
• Renormalization group scaling in nonrelativistic QCD
• 50 Years of Quantum Chromodynamics
• J/psi absorption by pi and rho mesons in a meson exchange model with anomalous parity interactions
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• On-shell heavy particle effective theories
• Reparameterization Invariance for Collinear Operators
• Heavy Quarkonium in Extreme Conditions
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• Operator Product Expansion for Inclusive Semileptonic Decays in Heavy Quark Effective Field Theory
• Next--to--Leading Order Corrections to Meson Masses in the Heavy Quark Effective Theory
• Nonperturbative determination of the QCD potential at O(1/m)
• Nuclear Parity-Violation in Effective Field Theory
• Semileptonic B decays to excited charmed mesons
• Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements
• Heavy Black Hole Effective Theory
• Collinear effective theory at subleading order and its application to heavy-light currents
• Systematic 1/M Expansion for Spin 3/2 Particles
• From quarks to nucleons in dark matter direct detection
• Chiral effective action with heavy quark symmetry
• Shape function effects in B -> X_s gamma and B -> X_u l nu decays
• Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets
• Toward a NNLO calculation of the B-->X_s gamma decay rate with a cut on photon energy: I. Two-loop result for the soft function
• Resonance saturation for four-nucleon operators
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• Aspects of high density effective theory in QCD
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Heavy Hadrons in Nuclear Matter
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Extraction of the D^*Dπcoupling from D^* decays
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• Doubly Heavy Baryons, Heavy Quark-DiQuark Symmetry and NRQCD
• Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
• Review of Heavy Quarkonium at weak coupling
• Chiral Effective Theory of Dark Matter Direct Detection
• The Sub-Leading Scattering Waveform from Amplitudes
• Fat Gravitons, the Cosmological Constant and Sub-millimeter Tests
• Excited Heavy Mesons Beyond Leading Order in the Heavy Quark Expansion
• Low-energy expansion of the pion-nucleon Lagrangian
• Inclusive Decays of Heavy Quarkonium to Light Particles
• On Power Suppressed Operators and Gauge Invariance in SCET
• Cancellation of Renormalon Ambiguities in the Heavy Quark Effective Theory
• The NRQED lagrangian at order 1/M^4
• Standard Model anatomy of WIMP dark matter direct detection I: weak-scale matching
• Three-Loop Chromomagnetic Interaction in HQET
• Towards grounding nuclear physics in QCD
• TMD Soft Function from Large-Momentum Effective Theory
• A new gauge-invariant double copy for heavy-mass effective theory
• The Decay $B\to \pi \ell \nu$ in Heavy Quark Effective Theory
• Poincare' invariance constraints on NRQCD and potential NRQCD
• Strong and Electromagnetic Decays of Two New $Lambd{a}_c^{\ast }$ Baryons
• Application of heavy-quark effective theory to lattice QCD: I. Power Corrections
• Scheming in the SMEFT... and a reparameterization invariance!
• Muon capture by a proton in heavy baryon chiral perturbation theory
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Electromagnetic and spin polarisabilities in lattice QCD
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• The Effective Chiral Lagrangian From the Theta Term
• The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
• Chiral and Heavy Quark Symmetry Violation in B Decays
• The QCD heavy-quark potential to order v^2: one loop matching conditions
• Reparameterization Invariant Collinear Operators
• Renormalization group analysis of the QCD quark potential to order v^2
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Application of heavy-quark effective theory to lattice QCD: II. Radiative corrections to heavy-light currents
• Running of the heavy quark production current and 1/k potential in QCD
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• QCD Corrections and the Endpoint of the Lepton Spectrum in Semileptonic B Decays
• The Subleading Isgur-Wise Form Factor ${\xi }_3(v\cdot v^{\prime })$ and its Implications for the Decays $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$
• Jet axes and universal transverse-momentum-dependent fragmentation
• A Model Independent Determination of |V_{ub}|
• Lorentz invariance in heavy particle effective theories
• Two-Loop Anomalous Dimension of the Chromo-Magnetic Moment of a Heavy Quark
• Higher-order calculations of electron-deuteron scattering in nuclear effective theory
• Resummed Photon Spectra for WIMP Annihilation
• Extracting $|V_{bc}|$, $m_c$ and $m_b$ from Inclusive $D$ and $B$ Decays
• Chiral invariant renormalization of the pion--nucleon interaction
• Advanced Predictions for Moments of the B->X_s+gamma Photon Spectrum
• Subleading shape functions in B -> X_u l νand the determination of |Vub|
• Analyticity Properties and Unitarity Constraints of Heavy Meson Form Factors
• Vector Meson Masses in Chiral Perturbation Theory
• Strong Isospin Breaking in the Nucleon and Delta Masses on the Lattice
• Hilbert Series and Operator Basis for NRQED and NRQCD/HQET
• Constraint equations for heavy-to-light currents in SCET
• A Virial Theorem for the Kinetic Energy of a Heavy Quark inside Hadrons
• On The Spin-Dependent Potential Between Heavy Quark And Antiquark
• Classical Spin Gravitational Compton Scattering
• Spectator Effects in the Heavy Quark Effective Theory
• Kinetic operator effects in B-> X_c l nu at O(alpha_s)
• Nucleon Electric Dipole Moments and the Isovector Parity- and Time-Reversal-Odd Pion-Nucleon Coupling
• Heavy-Quark Symmetry and the Electromagnetic Decays of Excited Charmed Strange Mesons
• Effect of m_c on b quark chromomagnetic interaction and on-shell two-loop integrals with two masses
• HQET chromomagnetic interaction at two loops
• Application of heavy-quark effective theory to lattice QCD: III. Radiative corrections to heavy-heavy currents
• $V_{cb}$ determination from inclusive $b\to c$ decays: an alternative method
• Review of experimental and theoretical status of the proton radius puzzle
• Recursion in the classical limit and the neutron-star Compton amplitude
• An effective field theory approach to quarkonium at small transverse momentum
• Relativity constraints on the two-nucleon contact interaction
• Hadrons in Strong Electric and Magnetic Fields
• Standard Model prediction of the $B_c$ lifetime
• Phase Space Matching and Finite Lifetime Effects for Top-Pair Production Close to Threshold
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• Reparametrization Invariance and Partial Re-Summations of the Heavy Quark Expansion
• The Mass of the b Quark
• Relations between Heavy-light Meson and Quark Masses
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Heavy Quarkonium Effective Theory
• Symmetry-breaking corrections to heavy meson form factor relations
• Effective Field Theory Approach to Pionium
• Constrained second-order power corrections in HQET: $R(D^{(\ast )})$, $|V_{cb}|$, and new physics
• Soft and Collinear Functions for the Standard Model
• Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
• Heavy flavour kinetic equilibration in the confined phase
• Phenomenological Constraints on $\bar{\Lambda }$ and ${\lambda }_1$
• Reparameterization Invariance Revisited
• Nonperturbative corrections to moments of the decay B -> X_s l^+ l^-
• Non-perturbative tests of Heavy Quark Effective Theory
• Reparametrization invariance and the expansion of currents in the heavy quark effective theory
• Hyperasymptotic approximation to the top, bottom and charm pole mass
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Boosted Top Quarks in the Peak Region with N${}^3$LL Resummation
• Model-independent Study of Electric Dipole Transitions in Quarkonium
• Low-energy QCD
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
• Short-Distance Expansion of Heavy-Light Currents at Order 1/m
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• Wave function renormalization in heavy baryon chiral perturbation theory
• Reparameterization Invariance to all Orders in Heavy Quark Effective Theory
• Exploring the Invisible Renormalon: Renormalization of the Heavy-Quark Kinetic Energy
• Universality of the EMC Effect
• The LBK theorem to all orders
• Moving NRQCD for heavy-to-light form factors on the lattice
• Chiral Corrections to Vector Meson Decay Constants
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Finite Mass Corrections to Leptonic Decay Constants in the Heavy Quark Effective Theory
• Weinberg's Compositeness
• On HQET and NRQCD Operators of Dimension 8 and Above
• Heavy meson effective thoery with 1/M_Q correction
• Baryon masses at O(a^2) in chiral perturbation theory
• Full-Phase-Space Twist Expansion in Semileptonic and Radiative B-Meson Decays
• Renormalization Group Effects in Dark Matter Interactions
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• The Invisible Renormalon
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Renormalization of Heavy Quark Effective Field Theory: Quantum Action Principles and Equations of Motion
• Heavy Quark Effective Field Theory at O(1/m_Q^2). I. QCD Corrections to the Lagrangian
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Functional Methods for Heavy Quark Effective Theory
• Constraining weak annihilation using semileptonic D decays
• Renormalizing the heavy quark effective field theory Lagrangian to order 1/m^2
• Renormalization group improvement of the spectrum of Hydrogen-like atoms with massless fermions
• Heavy quark jet production near threshold
• Symmetry Realization via a Dynamical Inverse Higgs Mechanism
• Octet Baryons in Large Magnetic Fields
• Power Corrections to the Universal Heavy WIMP-Nucleon Cross Section
• Excited heavy meson decays to light vector mesons: implications for spectroscopy
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• Reparametrization Invariance Constraints on Inclusive Decay Spectra and Masses
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Resumming Phase Space Logarithms in Inclusive Semileptonic $B$ Decays
• Towards massless and massive event shapes in the large-${\beta }_0$ limit
• Poincaré invariance in NRQCD and pNRQCD revisited
• Effective Field Theory for a Heavy Majorana Fermion
• Heavy Mesons in a Random Instanton Gas
• Asymptotics of the perturbative series for f_{B^*}/f_B
• Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$
• Effective Field Theory for Two-Body Systems with Shallow S-Wave Resonances
• Renormalization Group Analysis in NRQCD for Colored Scalars
• Improved Determination of |V_{ub}| from Inclusive Semileptonic B-Meson Decays
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using Soft-Collinear Effective Theory
• Heavy Meson Electromagnetic Mass Differences from QCD
• Spectroscopy of heavy baryons with breaking of heavy-quark symmetry
• The chromo-polarizabilities of a heavy quark at weak coupling
• Heavy Hadron Weak Decay Form Factors to Next-to-Leading Order in 1/m
• Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT
• Matching heavy-quark fields in QCD and HQET at three loops
• Reparameterization Invariant Operator Basis for NRQED and HQET
• Inclusive Semileptonic $b\to c\ell \bar{\nu }$ Decays to Order $1/m_b^5$
• Baryon Chiral Perturbation Theory up to Next-to-Leading Order
• The Hyperfine Spin Splittings In Heavy Quarkonia
• Chiral symmetry
• Conformal Structure of the Heavy Particle EFT Operator Basis
• General relations of heavy quark-antiquark potentials induced by reparameterization invariance
• Hybrid Renormalization of Penguins and Dimension-5 Heavy--Light Operators
• HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• HQQET: An Effective Theory Approach to Heavy Quarkonia Decays
• Heavy-baryon chiral perturbation theory and reparametrization invariance
• Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)
• Background Electromagnetic Fields and NRQED Matching: Scalar Case
• Covariant color-kinematics duality, Hopf algebras and permutohedra
• Matching the heavy-quark fields in QCD and HQET at four loops
• Spectator effects in the HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Multiple soft-photon emission at next-to-leading power to all orders
• Excited Heavy Baryons and Their Symmetries I: Formalism
• Elements of QED-NRQED Effective Field Theory: II. Matching of Contact Interactions
• Reparametrization Invariance in Inclusive Decays of Heavy Hadrons
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• Strong Decays of Strange Charmed P-Wave Mesons
• Treating divergence in quark matter by using energy projectors
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• "Super"-Dilatation Symmetry of the Top-Higgs System
• Spectator Effects in Heavy Quark Effective Theory at O(1/m_Q^3)
• Hidden Structure in a Lagrangian for Hyperfine Splitting of the Heavy Baryons
• Soft-Collinear Supersymmetry
• Holographic Lifshitz flows
• Low-Energy Lepton-Proton Bremsstrahlung via Effective Field Theory
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Poincare' invariance constraints on non-relativistic effective field theories
• Classical gravitational scattering from a gauge-invariant double copy
• Comparison of potential models through HQET
• Two-loop hybrid renormalization of local dimension-4 heavy-light operators
• The $\Delta (1232)$ as an Effective Degree of Freedom in Chiral Perturbation Theory
• Towards an Effective Field Theory on the Light-Shell
• Renormalization in Reparameterization Invariance
• Subleading Light-cone distributions functions in the decays Lambda(b) --> X(s) Gamma and Lambda(b) --> X(u) Lepton Anti-Nu
• Two-Loop Renormalization of Heavy--Light Currents at Order 1/m_Q in the Heavy-Quark Expansion
• Nucleon-nucleon scattering with perturbative pions: The uncoupled $P$-wave channels
• Renormalons
• Effective Theory for Heavy Quarks
• Renormalization of Velocity-Changing Dimension-Five Operators in the Heavy-Quark Effective Theory
• Matching the Standard Model to Heavy-Quark Effective Theory and Nonrelativistic QCD
• Heavy-to-light decays at large recoil: Systematic treatment of short- and long-distance QCD effects
• Factorization, Effective Field Theory, and B-> D^(*) X Decays
• Theory of Inclusive B Decays
• Exploring the $\tau$ polarization in $B\to X\tau \bar{\nu }$ along different axes
• Quark-quark-gluon vertex for heavy quarks up to order 1/m^5
• Matching QCD and HQET at three loops
• Chiral excitations of open-beauty systems
• The $1/m_Q$ Expansion in QCD: Introduction and Overview
• Model Independent Results for Heavy Quarkonium
• Four-nucleon contact interactions from holographic QCD
• The Simplest B Decay, Precisely
• Derivation of the Effective Pion-Nucleon Lagrangian within Heavy Baryon Chiral Perturbation Theory
• An Effective Field Theory study of medium heavy quark evolution
• Pion-pion and pion-nucleon interactions in chiral perturbation theory
• Infrared effects and the asymptotics of perturbation theory in weak decays of heavy particles