Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy
  Theorems   If quantum chromodynamics (QCD) is renormalized by minimal subtraction (MS),
at higher orders, the strong coupling constant alpha_s and the quark masses m_q
exhibit discontinuities at the flavour thresholds, which are controlled by
so-called decoupling constants, zeta_g and zeta_m, respectively. Adopting the
modified MS (MS-bar) scheme, we derive simple formulae which reduce the
calculation of zeta_g and zeta_m to the solution of vacuum integrals. This
allows us to evaluate zeta_g and zeta_m through three loops. We also establish
low-energy theorems, valid to all orders, which relate the effective couplings
of the Higgs boson to gluons and light quarks, due to the virtual presence of a
heavy quark h, to the logarithmic derivatives w.r.t. m_h of zeta_g and zeta_m,
respectively. Fully exploiting present knowledge of the anomalous dimensions of
alpha_s and m_q, we thus calculate these effective couplings through four
loops. Finally, we perform a similar analysis for the coupling of the Higgs
boson to photons.

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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
1
The categories of this paper are: cs