RECORD
Extending the Kinetic Mass to Higher Orders in $1/m_Q$
High Energy Physics - Phenomenology · Submitted 24 Feb 2026 · Published version
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our approach opens the road to a consistent use of the kinetic mass at higher-orders in the heavy quark expansion.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Currently, the kinetic mass is defined in terms of the pole mass and operators at order $1/m_Q^2$, which are known to N$^3$LO accuracy in $\alpha_s$. At the same time, the Heavy Quark Expansion (HQE) for inclusive semileptonic decays is known up to and including terms of order $1/m_Q^5$. Therefore, it is desirable to extend the definition of the kinetic mass to higher orders in $1/m_Q$. The original kinetic mass is based on the hadron-mass formula in Heavy Quark Effective Theory (HQET). However, the HQE is formulated in terms of matrix elements defined in full QCD to avoid the appearance of non-local matrix elements. To avoid this, we develop a definition of the kinetic mass rooted in full QCD. Starting from the hadron-mass formula derived from the energy-momentum tensor of full QCD, we define a relation between a general mass and the pole mass. Using a simple cut-off scheme, we compute a generalized kinetic mass at one loop to all powers of $1/m_Q$, which reproduces the well-known results for the kinetic mass up to $1/m_Q^2$. Our approach opens the road to a consistent use of the kinetic mass at higher-orders in the heavy quark expansion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Currently, the kinetic mass is defined in terms of the pole mass and operators at order $1/m_Q^2$, which are known to N$^3$LO accuracy in $\alpha_s$. | background 0.98 | 0.06 | 0.03 | asserted 1.00 |
| s1 | At the same time, the Heavy Quark Expansion (HQE) for inclusive semileptonic decays is known up to and including terms of order $1/m_Q^5$. | background 0.98 | 0.05 | 0.03 | asserted 1.00 |
| s2 | Therefore, it is desirable to extend the definition of the kinetic mass to higher orders in $1/m_Q$. | gap 0.83 | 0.05 | 0.11 | asserted 0.52 |
| s3 | The original kinetic mass is based on the hadron-mass formula in Heavy Quark Effective Theory (HQET). | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s4 | However, the HQE is formulated in terms of matrix elements defined in full QCD to avoid the appearance of non-local matrix elements. | background 0.85 | 0.05 | 0.02 | asserted 1.00 |
| s5 | To avoid this, we develop a definition of the kinetic mass rooted in full QCD. | contribution 0.82 | 0.87 | 0.08 | asserted 1.00 |
| s6 | Starting from the hadron-mass formula derived from the energy-momentum tensor of full QCD, we define a relation between a general mass and the pole mass. | method 0.84 | 0.88 | 0.07 | asserted 1.00 |
| s7 | Using a simple cut-off scheme, we compute a generalized kinetic mass at one loop to all powers of $1/m_Q$, which reproduces the well-known results for the kinetic mass up to $1/m_Q^2$. | contribution 0.39 | 0.96 | 0.21 | asserted 1.00 |
| s8 | Our approach opens the road to a consistent use of the kinetic mass at higher-orders in the heavy quark expansion. | interpretation 0.90 | 0.57 | 0.80 | hedged possibility 0.50 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Currently, the kinetic mass is defined in terms of the pole mass and operators at order $1/m_Q^2$, which are known to N$^3$LO accuracy in $\alpha_s$. At the same time, the Heavy Quark Expansion (HQE) for inclusive semileptonic decays is known up to and including terms of order $1/m_Q^5$. Therefore, it is desirable to extend the definition of the kinetic mass to higher orders in $1/m_Q$. The original kinetic mass is based on the hadron-mass formula in Heavy Quark Effective Theory (HQET). However, the HQE is formulated in terms of matrix elements defined in full QCD to avoid the appearance of non-local matrix elements. To avoid this, we develop a definition of the kinetic mass rooted in full QCD. Starting from the hadron-mass formula derived from the energy-momentum tensor of full QCD, we define a relation between a general mass and the pole mass. Using a simple cut-off scheme, we compute a generalized kinetic mass at one loop to all powers of $1/m_Q$, which reproduces the well-known results for the kinetic mass up to $1/m_Q^2$. Our approach opens the road to a consistent use of the kinetic mass at higher-orders in the heavy quark expansion.
Human review
References
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 40 sentences without a confident label
Uses the method or tool of 2 papers
-
We discuss the results at order $α_s$ using a simple cut-off scheme by cutting the absolute value of the three-momenta of the gluons, as originally proposed in [ref] .
High Power n of m_b in Beauty Widths and n=5 -> oo Limit · Extended kinetic mass from the QCD mass formula · 1.00
-
This can be implemented by cutting the absolute value spatial momentum $k⃗$ of the gluon [ref] .
Sum Rules for Heavy Flavor Transitions in the SV Limit · Introduction · 0.80
Compares with 4 papers
-
Comparing with the usual HQET kinetic mass, implemented in HQE applications through [ref] [equation] we note that the first two terms agree, aside from the ambiguous leading power in $μ$.
On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks · The extended kinetic mass · 1.00
-
Comparing with the usual HQET kinetic mass, implemented in HQE applications through [ref] [equation] we note that the first two terms agree, aside from the ambiguous leading power in $μ$.
Sum Rules for Heavy Flavor Transitions in the SV Limit · The extended kinetic mass · 1.00
-
Comparing with the usual HQET kinetic mass, implemented in HQE applications through [ref] [equation] we note that the first two terms agree, aside from the ambiguous leading power in $μ$.
High Power n of m_b in Beauty Widths and n=5 -> oo Limit · The extended kinetic mass · 1.00
Cites as background 10 papers
-
To this end, other schemes have been identified, such as the potential-subtracted mass [ref] or the kinetic mass [ref] , which can be used at scales $μ≤m_Q$, as well as schemes which can be used at all scales [ref] .
A quark mass definition adequate for threshold problems · Introduction · 0.98
-
To this end, other schemes have been identified, such as the potential-subtracted mass [ref] or the kinetic mass [ref] , which can be used at scales $μ≤m_Q$, as well as schemes which can be used at all scales [ref] .
The MSR Mass and the ${\cal O}(\Lambda_{\rm QCD})$ Renormalon Sum Rule · Introduction · 0.98
-
To this end, other schemes have been identified, such as the potential-subtracted mass [ref] or the kinetic mass [ref] , which can be used at scales $μ≤m_Q$, as well as schemes which can be used at all scales [ref] .
High Power n of m_b in Beauty Widths and n=5 -> oo Limit · Introduction · 0.98
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.