From b70c464a336b8c3a1fe0e7397bba2bec81545549 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 14 Aug 2023 21:39:48 +0000 Subject: [PATCH 1/8] [pre-commit.ci] pre-commit autoupdate MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit updates: - [github.com/hadialqattan/pycln: v2.2.1 → v2.2.2](https://github.com/hadialqattan/pycln/compare/v2.2.1...v2.2.2) --- .pre-commit-config.yaml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 687dd9011..6b4fde178 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -13,7 +13,7 @@ repos: - id: check-merge-conflict - id: debug-statements - repo: https://github.com/hadialqattan/pycln - rev: v2.2.1 + rev: v2.2.2 hooks: - id: pycln args: [--config=pyproject.toml] From 9ecd19c6b4e3940221de5de8adbba475d04264d6 Mon Sep 17 00:00:00 2001 From: giacomomagni Date: Wed, 16 Aug 2023 14:59:54 +0200 Subject: [PATCH 2/8] fix large N NS N3LO ad limit --- doc/source/theory/Mellin.rst | 2 +- doc/source/theory/N3LO_ad.rst | 2 +- .../unpolarized/space_like/as4/gnsm.py | 54 +++++++++---------- .../unpolarized/space_like/as4/gnsp.py | 54 +++++++++---------- 4 files changed, 56 insertions(+), 56 deletions(-) diff --git a/doc/source/theory/Mellin.rst b/doc/source/theory/Mellin.rst index a3adb47d2..28ddae8f1 100644 --- a/doc/source/theory/Mellin.rst +++ b/doc/source/theory/Mellin.rst @@ -56,7 +56,7 @@ Plus Distributions ^^^^^^^^^^^^^^^^^^ .. math :: - \mathcal M[1/(1-x)_+](N) = S_1(N) + \mathcal M[1/(1-x)_+](N) = - S_1(N - 1) with the harmonic sum :math:`S_1` (see :ref:`theory/mellin:harmonic sums`). diff --git a/doc/source/theory/N3LO_ad.rst b/doc/source/theory/N3LO_ad.rst index 18bd6cbd3..5ddeacf97 100644 --- a/doc/source/theory/N3LO_ad.rst +++ b/doc/source/theory/N3LO_ad.rst @@ -90,7 +90,7 @@ In |EKO| they are implemented as follows: - The large-N limit :cite:`Moch:2017uml`, which reads (Eq. 2.17): .. math :: - \gamma_{ns} \approx A^{(f)}_4 S_1(N) - B_4 + C_4 \frac{S_1(N)}{N} - (D_4 + \frac{1}{2} A^{(f)}_4) \frac{1}{N} + \mathcal{O}(\frac{\ln^k(N)}{N^2}) + \gamma_{ns} \approx A^{(f)}_4 S_1(N) - B_4 + C_4 \frac{S_1(N)}{N} - D_4 \frac{1}{N} This limit is common for all :math:`\gamma_{ns,+}^{(3)},\gamma_{ns,-}^{(3)},\gamma_{ns,v}^{(3)}`. The coefficient :math:`A^{(f)}_4`, being related to the twist-2 spin-N operators, diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py index ba249f672..d028db390 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py @@ -76,21 +76,21 @@ def gamma_nsm_nf2(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -193.89011158240442 + -193.8861961960614 - 18.962962962962962 / n**5 + 99.1604938271605 / n**4 - 226.44075306899038 / n**3 + 395.60497732877303 / n**2 - + 278.2205375565073 / n - - 192.0247446101425 / (1.0 + n) ** 3 - + 93.91039406948033 / (1.0 + n) ** 2 - - 85.81679567653221 / (3.0 + n) + + 180.43192466504917 / n + - 156.88366085122723 / (1.0 + n) ** 3 + + 16.276755890287458 / (1.0 + n) ** 2 + + 9.929878787981112 / (3.0 + n) + 195.5772257829161 * S1 - - (488.477491593376 * S1) / n**2 + - (430.0434990330973 * S1) / n**2 + (26.68861454046639 * S1) / n - + 361.0392247000297 * Lm11m1 - + 232.1144024429168 * Lm12m1 - + 35.38568209541474 * Lm13m1 + + 182.8021908863633 * Lm11m1 + + 161.78964675346762 * Lm12m1 + + 26.1810397685143 * Lm13m1 ) @@ -119,22 +119,22 @@ def gamma_nsm_nf1(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - 5550.182834015097 + 5550.079294018526 - 126.41975308641975 / n**6 + 752.1975308641976 / n**5 - 2253.1105700880144 / n**4 + 5247.1769880520205 / n**3 - 8769.153217295072 / n**2 - - 5834.355552528428 / n - - 1969.0104529610248 / (1.0 + n) ** 3 - - 2742.0697059315535 / (1.0 + n) ** 2 - + 2512.6444931763654 / (3.0 + n) + - 3248.3974879855336 / n + - 2898.2943249560426 / (1.0 + n) ** 3 + - 689.0970388084964 / (1.0 + n) ** 2 + - 19.315781886816087 / (3.0 + n) - 5171.916129085788 * S1 - + (13862.898314841788 * S1) / n**2 + + (12317.648319304566 * S1) / n**2 - (2741.830025124657 * S1) / n - - 2121.855469704418 * Lm11m1 - - 3590.759053757736 * Lm12m1 - - 413.4348940200741 * Lm13m1 + + 2591.510450390595 * Lm11m1 + - 1731.0652413316732 * Lm12m1 + - 170.02391773352406 * Lm13m1 ) @@ -163,23 +163,23 @@ def gamma_nsm_nf0(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -23372.01191013195 + -23371.597456219817 - 252.8395061728395 / n**7 + 1580.2469135802469 / n**6 - 5806.800104704373 / n**5 + 14899.91711929902 / n**4 - 28546.38768506619 / n**3 + 50759.65541232588 / n**2 - + 21477.757730073346 / n - + 194339.87834020052 / (1.0 + n) ** 3 - - 88491.39062175922 / (1.0 + n) ** 2 - - 16673.930496518376 / (3.0 + n) + + 11126.581215589995 / n + + 198059.65286720797 / (1.0 + n) ** 3 + - 96709.11158512249 / (1.0 + n) ** 2 + - 6538.89846648667 / (3.0 + n) + 20702.353028966703 * S1 - - (103246.60425090564 * S1) / n**2 + - (97061.21566841986 * S1) / n**2 + (16950.937339235086 * S1) / n - - 178815.0878250944 * Lm11m1 - - 49111.66189344577 * Lm12m1 - - 11804.70644702107 * Lm13m1 + - 197681.93739849582 * Lm11m1 + - 56555.718627160735 * Lm12m1 + - 12779.041608676462 * Lm13m1 ) diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py index b9f74c7bf..cac6e71b1 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py @@ -30,21 +30,21 @@ def gamma_nsp_nf2(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -193.862483821757 + -193.85996720614918 - 18.962962962962962 / n**5 + 99.1604938271605 / n**4 - 226.44075306899038 / n**3 + 395.60497732877303 / n**2 - + 278.2205375565073 / n - + 59.46630017646719 / (1.0 + n) ** 3 - - 152.70402416764668 / (1.0 + n) ** 2 - - 94.57207315818547 / (2.0 + n) + + 180.43192466504917 / n + + 40.25996504960858 / (1.0 + n) ** 3 + - 122.47540320835951 / (1.0 + n) ** 2 + + 2.2109706180574356 / (2.0 + n) + 195.5772257829161 * S1 - - (517.9354004395117 * S1) / n**2 + - (457.3382023459039 * S1) / n**2 + (26.68861454046639 * S1) / n - + 1.5006487633206929 * Lm11m1 - + 113.48340560825889 * Lm12m1 - + 13.865450025251006 * Lm13m1 + - 16.251628171151797 * Lm11m1 + + 89.75298129002869 * Lm12m1 + + 10.429745596675895 * Lm13m1 ) @@ -72,22 +72,22 @@ def gamma_nsp_nf1(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - 5550.285178175209 + 5550.218627756056 - 126.41975308641975 / n**6 + 752.1975308641976 / n**5 - 2253.1105700880144 / n**4 + 5247.1769880520205 / n**3 - 8769.153217295072 / n**2 - - 5834.355552528428 / n - + 537.8609133198307 / (1.0 + n) ** 3 - - 718.3874592628895 / (1.0 + n) ** 2 - + 2487.96294221855 / (2.0 + n) + - 3248.3974879855336 / n + + 1045.759889779711 / (1.0 + n) ** 3 + - 1517.7637756534405 / (1.0 + n) ** 2 + - 71.40345295295322 / (2.0 + n) - 5171.916129085788 * S1 - + (12894.65275887218 * S1) / n**2 + + (11292.198190230158 * S1) / n**2 - (2741.830025124657 * S1) / n - - 849.8232086542307 * Lm11m1 - - 3106.3285877376907 * Lm12m1 - - 399.22204467960154 * Lm13m1 + - 380.3748812945835 * Lm11m1 + - 2478.792283615627 * Lm12m1 + - 308.36695798751623 * Lm13m1 ) @@ -115,23 +115,23 @@ def gamma_nsp_nf0(n, cache): Lm12m1 = lm12m1(n, S1, S2) Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -23391.315223909038 + -23391.048834675064 - 252.8395061728395 / n**7 + 1580.2469135802469 / n**6 - 5806.800104704373 / n**5 + 14899.91711929902 / n**4 - 28546.38768506619 / n**3 + 50759.65541232588 / n**2 - + 21477.757730073346 / n - + 47399.00434062458 / (1.0 + n) ** 3 - - 15176.296853013831 / (1.0 + n) ** 2 - - 11103.411980157494 / (2.0 + n) + + 11126.581215589995 / n + + 45365.96043751846 / (1.0 + n) ** 3 + - 11976.515209798297 / (1.0 + n) ** 2 + - 858.6772726856868 / (2.0 + n) + 20702.353028966703 * S1 - - (73498.98594171858 * S1) / n**2 + - (67084.61612292472 * S1) / n**2 + (16950.937339235086 * S1) / n - - 43731.12143482942 * Lm11m1 - - 2518.9090401926924 * Lm12m1 - - 973.3270027901576 * Lm13m1 + - 45610.240259669365 * Lm11m1 + - 5030.833428351564 * Lm12m1 + - 1337.0046605808507 * Lm13m1 ) From 175ff45f36019c8e6236e089ce0d057b05c77084 Mon Sep 17 00:00:00 2001 From: Felix Hekhorn Date: Thu, 17 Aug 2023 12:42:23 +0200 Subject: [PATCH 3/8] Run poetry lock --- poetry.lock | 1653 +++++++++++++++++++++++++++++---------------------- 1 file changed, 942 insertions(+), 711 deletions(-) diff --git a/poetry.lock b/poetry.lock index 091e94114..93508c802 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,9 +1,10 @@ -# This file is automatically @generated by Poetry 1.5.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.4.2 and should not be changed by hand. 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(>=1.4)", "rst.linker (>=1.9)", "sphinx (>=3.5)", "sphinx-lint"] +testing = ["big-O", "jaraco.functools", "jaraco.itertools", "more-itertools", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-ignore-flaky", "pytest-mypy (>=0.9.1)", "pytest-ruff"] [extras] box = ["click", "rich"] From ef01817646a460f211b5372493ca94b54ecd3f8e Mon Sep 17 00:00:00 2001 From: giacomomagni Date: Fri, 18 Aug 2023 17:35:01 +0200 Subject: [PATCH 4/8] Update ns nf^2 parametrization --- .../unpolarized/space_like/as4/gnsm.py | 42 ++++++++++--------- .../unpolarized/space_like/as4/gnsp.py | 42 ++++++++++--------- .../unpolarized/space_like/test_as4.py | 16 +++---- 3 files changed, 55 insertions(+), 45 deletions(-) diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py index d028db390..14886c5ab 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsm.py @@ -55,6 +55,8 @@ def gamma_ns_nf3(n, cache): def gamma_nsm_nf2(n, cache): r"""Return the parametrized valence-like non-singlet part proportional to :math:`nf^2`. + From :cite:`Moch:2017uml` ancillary files. + Parameters ---------- n : complex @@ -71,26 +73,28 @@ def gamma_nsm_nf2(n, cache): """ S1 = c.get(c.S1, cache, n) S2 = c.get(c.S2, cache, n) - S3 = c.get(c.S3, cache, n) - Lm11m1 = lm11m1(n, S1) - Lm12m1 = lm12m1(n, S1, S2) - Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -193.8861961960614 - - 18.962962962962962 / n**5 - + 99.1604938271605 / n**4 - - 226.44075306899038 / n**3 - + 395.60497732877303 / n**2 - + 180.43192466504917 / n - - 156.88366085122723 / (1.0 + n) ** 3 - + 16.276755890287458 / (1.0 + n) ** 2 - + 9.929878787981112 / (3.0 + n) - + 195.5772257829161 * S1 - - (430.0434990330973 * S1) / n**2 - + (26.68861454046639 * S1) / n - + 182.8021908863633 * Lm11m1 - + 161.78964675346762 * Lm12m1 - + 26.1810397685143 * Lm13m1 + -193.84583328013258 + - 23.7037032 / n**5 + + 117.5967 / n**4 + - 256.5896 / n**3 + + 437.881 / n**2 + + 720.385709813466 / n + - 48.720000000000006 / (1 + n) ** 4 + + 189.51000000000002 / (1 + n) ** 3 + + 391.02500000000003 / (1 + n) ** 2 + + 367.4750000000001 / (1 + n) + + 404.47249999999997 / (2 + n) + - 2063.325 / ((1 + n) ** 2 * (2 + n)) + - (1375.55 * n) / ((1 + n) ** 2 * (2 + n)) + + 687.775 / ((1 + n) * (2 + n)) + - 81.71999999999998 / (3 + n) + + 114.9225 / (4 + n) + + 195.5772 * S1 + - (817.725 * S1) / n**2 + + (714.46361 * S1) / n + - (687.775 * S1) / (1 + n) + - (817.725 * S2) / n ) diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py index cac6e71b1..c8a75e081 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gnsp.py @@ -10,6 +10,8 @@ def gamma_nsp_nf2(n, cache): r"""Return the parametrized singlet-like non-singlet part proportional to :math:`nf^2`. + From :cite:`Moch:2017uml` ancillary files. + Parameters ---------- n : complex @@ -25,26 +27,28 @@ def gamma_nsp_nf2(n, cache): """ S1 = c.get(c.S1, cache, n) S2 = c.get(c.S2, cache, n) - S3 = c.get(c.S3, cache, n) - Lm11m1 = lm11m1(n, S1) - Lm12m1 = lm12m1(n, S1, S2) - Lm13m1 = lm13m1(n, S1, S2, S3) return ( - -193.85996720614918 - - 18.962962962962962 / n**5 - + 99.1604938271605 / n**4 - - 226.44075306899038 / n**3 - + 395.60497732877303 / n**2 - + 180.43192466504917 / n - + 40.25996504960858 / (1.0 + n) ** 3 - - 122.47540320835951 / (1.0 + n) ** 2 - + 2.2109706180574356 / (2.0 + n) - + 195.5772257829161 * S1 - - (457.3382023459039 * S1) / n**2 - + (26.68861454046639 * S1) / n - - 16.251628171151797 * Lm11m1 - + 89.75298129002869 * Lm12m1 - + 10.429745596675895 * Lm13m1 + -193.85906555742952 + - 18.962964 / n**5 + + 99.1605 / n**4 + - 225.141 / n**3 + + 393.0056000000001 / n**2 + - 403.50217685814835 / n + - 34.425000000000004 / (1 + n) ** 4 + + 108.42 / (1 + n) ** 3 + - 93.8225 / (1 + n) ** 2 + + 534.725 / (1 + n) + + 246.50250000000003 / (2 + n) + - 25.455 / ((1 + n) ** 2 * (2 + n)) + - (16.97 * n) / ((1 + n) ** 2 * (2 + n)) + + 8.485 / ((1 + n) * (2 + n)) + - 110.015 / (3 + n) + + 78.9875 / (4 + n) + + 195.5772 * S1 + - (101.0775 * S1) / n**2 + + (35.17361 * S1) / n + - (8.485 * S1) / (1 + n) + - (101.0775 * S2) / n ) diff --git a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py index e799fa589..de3aee890 100644 --- a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py +++ b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py @@ -108,7 +108,7 @@ def test_momentum_conservation(): np.testing.assert_allclose( gnsp.gamma_nsp_nf2(N, sx_cache) + g_ps[:, 1] + g_gq[:, 2], 0, - atol=2e-12, + atol=6e-8, ) np.testing.assert_allclose( +g_gg[:, 2] + g_qg[:, 1], @@ -144,7 +144,7 @@ def test_momentum_conservation(): np.testing.assert_allclose( g_singlet[:, 0, 0] + g_singlet[:, 1, 0], 0, - atol=2e-10, + atol=2e-7, ) np.testing.assert_allclose( g_singlet[:, 0, 1] + g_singlet[:, 1, 1], @@ -179,10 +179,12 @@ def test_non_singlet_reference_moments(): idx = int((N - 3) / 2) if N != 17: np.testing.assert_allclose( - gnsm.gamma_nsm(N, NF, sx_cache), nsm_nf4_refs[idx] + gnsm.gamma_nsm(N, NF, sx_cache), nsm_nf4_refs[idx], rtol=7e-6 ) np.testing.assert_allclose( - gnsv.gamma_nsv(N, NF, sx_cache), nss_nf4_refs[idx] + nsm_nf4_refs[idx] + gnsv.gamma_nsv(N, NF, sx_cache), + nss_nf4_refs[idx] + nsm_nf4_refs[idx], + rtol=7e-6, ) gamma_nss = ( gnsv.gamma_nss_nf1(N, sx_cache) * NF @@ -206,7 +208,7 @@ def test_singlet_reference_moments(): for N in [2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0]: sx_cache = h.cache.reset() np.testing.assert_allclose( - gnsp.gamma_nsp(N, NF, sx_cache), nsp_nf4_refs[int((N - 2) / 2)] + gnsp.gamma_nsp(N, NF, sx_cache), nsp_nf4_refs[int((N - 2) / 2)], rtol=3e-6 ) @@ -280,7 +282,7 @@ def deltaB3(n, sx_cache): sx_cache = h.cache.reset() diff.append(gnsp.gamma_nsp_nf2(N, sx_cache) - gnsm.gamma_nsm_nf2(N, sx_cache)) ref_vals.append(deltaB3(N, sx_cache)) - np.testing.assert_allclose(diff, ref_vals, atol=5e-4) + np.testing.assert_allclose(diff, ref_vals, atol=5e-3) diff = [] ref_vals = [] @@ -288,7 +290,7 @@ def deltaB3(n, sx_cache): sx_cache = h.cache.reset() diff.append(gnsp.gamma_nsp_nf2(N, sx_cache) - gnsm.gamma_nsm_nf2(N, sx_cache)) ref_vals.append(deltaB3(N, sx_cache)) - np.testing.assert_allclose(diff, ref_vals, atol=2e-2) + np.testing.assert_allclose(diff, ref_vals, atol=2.1e-2) def test_gamma_ps_extrapolation(): From fc6bfd387c1816bf2b7b462f687aa11455cd3d97 Mon Sep 17 00:00:00 2001 From: giacomomagni Date: Mon, 21 Aug 2023 11:20:52 +0200 Subject: [PATCH 5/8] Adding nf^2 parametrized part form 2308.07958 --- doc/source/refs.bib | 11 ++++ doc/source/theory/N3LO_ad.rst | 4 +- .../unpolarized/space_like/as4/gps.py | 57 ++++++++++++------- .../unpolarized/space_like/test_as4.py | 2 +- 4 files changed, 52 insertions(+), 22 deletions(-) diff --git a/doc/source/refs.bib b/doc/source/refs.bib index 4af4a6bd9..d249b2f7c 100644 --- a/doc/source/refs.bib +++ b/doc/source/refs.bib @@ -999,3 +999,14 @@ @article{Falcioni:2023vqq month = "7", year = "2023" } + +@article{Gehrmann:2023cqm, + author = "Gehrmann, Thomas and von Manteuffel, Andreas and Sotnikov, Vasily and Yang, Tong-Zhi", + title = "{Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions}", + eprint = "2308.07958", + archivePrefix = "arXiv", + primaryClass = "hep-ph", + reportNumber = "MSUHEP-23-024, ZU-TH 43/23", + month = "8", + year = "2023" +} diff --git a/doc/source/theory/N3LO_ad.rst b/doc/source/theory/N3LO_ad.rst index 5ddeacf97..0b90e2395 100644 --- a/doc/source/theory/N3LO_ad.rst +++ b/doc/source/theory/N3LO_ad.rst @@ -193,8 +193,10 @@ the following terms: - |T| - |T| -Only the parts proportional to :math:`n_f^3` are known analytically +The parts proportional to :math:`n_f^3` are known analytically :cite:`Davies:2016jie` and have been included so far. +For the :math:`n_f^2` only the :math:`\gamma_{qq,ps}` component +have been computed in :cite:`Gehrmann:2023cqm` and it's used in our code. The other parts are approximated using some known limits: * The small-x limit, given in the large :math:`N_c` approximation by diff --git a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gps.py b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gps.py index d783a6bae..8440a23f1 100644 --- a/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gps.py +++ b/src/ekore/anomalous_dimensions/unpolarized/space_like/as4/gps.py @@ -7,6 +7,7 @@ from .....harmonics import cache as c from .....harmonics.log_functions import ( lm11m1, + lm11m2, lm12m1, lm12m2, lm13m1, @@ -131,17 +132,19 @@ def gamma_ps_nf1(n, cache, variation): @nb.njit(cache=True) -def gamma_ps_nf2(n, cache, variation): +def gamma_ps_nf2(n, cache): r"""Return the part proportional to :math:`nf^2` of :math:`\gamma_{ps}^{(3)}`. + This therm is parametrized using the analytic result from :cite:`Gehrmann:2023cqm` + with an higher number of moments. + Parameters ---------- n : complex Mellin moment cache: numpy.ndarray Harmonic sum cache - variation : int - |N3LO| anomalous dimension variation + Returns ------- @@ -153,22 +156,36 @@ def gamma_ps_nf2(n, cache, variation): S2 = c.get(c.S2, cache, n) S3 = c.get(c.S3, cache, n) S4 = c.get(c.S4, cache, n) - common = -568.8888888888889/np.power(n,7) + 455.1111111111111/np.power(n,6) - 1856.79012345679/np.power(n,5) - 40.559670781893004*lm13m1(n,S1,S2,S3) - 13.695473*lm13m2(n,S1,S2,S3) - 3.6213991769547325*lm14m1(n,S1,S2,S3,S4) - if variation == 1: - fit = 25.822615602170636*(-1./np.power(-1. + n,2) + 1/n**2) + 1369.827563834446*(1/(-1. + n) - 1./n) - 968.9773721636304/np.power(n,4) + 18.07807695637113/np.power(n,3) + 108.26356564198636/(6. + 5.*n + np.power(n,2)) + 2244.8862997267374*(-1./np.power(n,2) + np.power(1. + n,-2)) - 707.6478920878866*(1/n - (1.*n)/(2. + 3.*n + np.power(n,2))) - 720.6014639482447*lm11m1(n,S1) - 220.72213008547274*lm12m1(n,S1,S2) + 78.28234259944801*lm12m2(n,S1,S2) - elif variation == 2: - fit = 22.47520493556606*(-1./np.power(-1. + n,2) + 1/n**2) + 1345.7885980600424*(1/(-1. + n) - 1./n) - 903.6049691868469/np.power(n,4) - 40.125877850642645/np.power(n,3) + 205.5137919740281/(3. + 4.*n + np.power(n,2)) + 2155.979224875976*(-1./np.power(n,2) + np.power(1. + n,-2)) - 730.7743407186217*(1/n - (1.*n)/(2. + 3.*n + np.power(n,2))) - 719.4265378971868*lm11m1(n,S1) - 220.625755952285*lm12m1(n,S1,S2) + 76.361546936374*lm12m2(n,S1,S2) - elif variation == 3: - fit = -39.98854097053157*(-1./np.power(-1. + n,2) + 1/n**2) + 897.2140121944313*(1/(-1. + n) - 1./n) + 316.26214619238453/np.power(n,4) - 1126.2252366164616/np.power(n,3) - 1010.1100115754526/(n + np.power(n,2)) + 496.95075914622464*(-1./np.power(n,2) + np.power(1. + n,-2)) - 152.2073406604394*(1/n - (1.*n)/(2. + 3.*n + np.power(n,2))) - 697.502707179934*lm11m1(n,S1) - 218.82743921117563*lm12m1(n,S1,S2) + 40.51992490089773*lm12m2(n,S1,S2) - elif variation == 4: - fit = 128.25116472071446*(-1./np.power(-1. + n,2) + 1/n**2) + 2105.4037585031724*(1/(-1. + n) - 1./n) - 2969.325356129497/np.power(n,4) + 1799.0727530104648/np.power(n,3) - 6288.544180252262/(3. + 4.*n + np.power(n,2)) + 3421.037168319817/(6. + 5.*n + np.power(n,2)) + 4965.374746715422*(-1./np.power(n,2) + np.power(1. + n,-2)) - 756.552384732902*lm11m1(n,S1) - 223.67102825813416*lm12m1(n,S1,S2) + 137.055795153659*lm12m2(n,S1,S2) - elif variation == 5: - fit = -58.02277596330755*(-1./np.power(-1. + n,2) + 1/n**2) + 767.7036973043099*(1/(-1. + n) - 1./n) + 668.4563393906011/np.power(n,4) - 1439.7986192735104/np.power(n,3) - 1286.910355933341/(n + np.power(n,2)) - 29.667479340721076/(6. + 5.*n + np.power(n,2)) + 17.96402399364499*(-1./np.power(n,2) + np.power(1. + n,-2)) - 691.1729662094299*lm11m1(n,S1) - 218.30823801383536*lm12m1(n,S1,S2) + 30.17190740021005*lm12m2(n,S1,S2) - elif variation == 6: - fit = -56.42130765016638*(-1./np.power(-1. + n,2) + 1/n**2) + 779.204430661265*(1/(-1. + n) - 1./n) + 637.1806800381983/np.power(n,4) - 1411.9523285234507/np.power(n,3) - 1275.8459233345768/(n + np.power(n,2)) - 54.06607559078503/(3. + 4.*n + np.power(n,2)) + 60.49936386423877*(-1./np.power(n,2) + np.power(1. + n,-2)) - 691.7351258214956*lm11m1(n,S1) - 218.3543496213554*lm12m1(n,S1,S2) + 31.090934653960247*lm12m2(n,S1,S2) - else: - fit = -3.686060112407607/np.power(-1. + n,2) + 1210.8570100929442/(-1. + n) - 536.6680886431316/np.power(n,4) - 366.82520538287156/np.power(n,3) - 1653.2563429412996/np.power(n,2) - 1475.961939004102/n + 1656.942403053707/np.power(1. + n,2) - 595.4777151405617/(n + np.power(n,2)) + (265.10492891115797*n)/(2. + 3.*n + np.power(n,2)) - 1022.8494106448363/(3. + 4.*n + np.power(n,2)) + 583.2722091035137/(6. + 5.*n + np.power(n,2)) - 712.8318642981988*lm11m1(n,S1) - 220.0848235237097*lm12m1(n,S1,S2) + 65.58040860742483*lm12m2(n,S1,S2) - return common + fit + Lm11m1 = lm11m1(n, S1) + Lm12m1 = lm12m1(n, S1, S2) + Lm13m1 = lm13m1(n, S1, S2, S3) + Lm14m1 = lm14m1(n, S1, S2, S3, S4) + Lm11m2 = lm11m2(n, S1) + Lm12m2 = lm12m2(n, S1, S2) + Lm13m2 = lm13m2(n, S1, S2, S3) + Lm14m2 = lm14m2(n, S1, S2, S3, S4) + return ( + -143.80101891221028 * (-(1 / (-1 + n) ** 2) + 1 / n**2) + - 165.24039012940008 / (n + n**2) + + 78.93267740308922 / (3 + 4 * n + n**2) + + 225.97795863158177 / (6 + 5 * n + n**2) + + 268.99119754384145 * (1 / n**7 - 1 / (1 + n) ** 7) + + 237.60599547200601 * (-(1 / n**6) + 1 / (1 + n) ** 6) + - 254.40839573210843 * (1 / n**5 - 1 / (1 + n) ** 5) + - 17.030956589959207 * (-(6 / n**4) + 6 / (1 + n) ** 4) + + 65.47972332907304 * (2 / n**3 - 2 / (1 + n) ** 3) + + 242.88446317138616 * (-(1 / n**2) + 1 / (1 + n) ** 2) + - 37.468777563039694 * (1 / n - n / (2 + 3 * n + n**2)) + + 40.70235212460574 * Lm11m1 + - 263.64555485424614 * Lm11m2 + - 3.709403904895335 * Lm12m1 + + 259.6865781968975 * Lm12m2 + - 15.219721657239077 * Lm13m1 + - 70.02572185985966 * Lm13m2 + - 2.518161564644865 * Lm14m1 + + 25.256870076087985 * Lm14m2 + - 0.45434279552010853 * (1 / (n - 1) - 1 / n) + ) @@ -196,6 +213,6 @@ def gamma_ps(n, nf, cache, variation): """ return ( +nf * gamma_ps_nf1(n, cache, variation) - + nf**2 * gamma_ps_nf2(n, cache, variation) + + nf**2 * gamma_ps_nf2(n, cache) + nf**3 * gamma_ps_nf3(n, cache) ) diff --git a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py index de3aee890..809da9273 100644 --- a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py +++ b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py @@ -101,7 +101,7 @@ def test_momentum_conservation(): ] g_ps[i, :] = [ gps.gamma_ps_nf1(N, sx_cache, variation[3]), - gps.gamma_ps_nf2(N, sx_cache, variation[3]), + gps.gamma_ps_nf2(N, sx_cache), ] # nf^2 part From a8b73d0d77932c898e9448ae1869e9b40ed56621 Mon Sep 17 00:00:00 2001 From: giacomomagni Date: Fri, 25 Aug 2023 13:49:56 +0200 Subject: [PATCH 6/8] small fix on tests --- .../unpolarized/space_like/test_as4.py | 20 +++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py index 809da9273..ad72659cb 100644 --- a/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py +++ b/tests/ekore/anomalous_dimensions/unpolarized/space_like/test_as4.py @@ -38,16 +38,6 @@ def test_quark_number_conservation(): N = 1 sx_cache = h.cache.reset() - # (ns,s) - # the exact expression (nf^2 part) has an nonphysical pole at N=1, - # see also :cite:`Moch:2017uml` and :cite:`Davies:2016jie` eq 3.5 - # where the \nu term is present. - # This should cancel when doing the limit, since the given moment for N=1 is 0 - # np.testing.assert_allclose(gamma_nsv(N, NF, sx_cache), 0, rtol=3e-7) - - # nf^1 part - np.testing.assert_allclose(gnsv.gamma_nss_nf1(N, sx_cache), 0.000400625, atol=2e-6) - # (ns,-) # nf^3 part np.testing.assert_allclose(gnsp.gamma_ns_nf3(N, sx_cache), 0, atol=3e-15) @@ -60,6 +50,16 @@ def test_quark_number_conservation(): # total np.testing.assert_allclose(gnsm.gamma_nsm(N, NF, sx_cache), 0, atol=1e-10) + # (ns,s) + # the exact expression (nf^2 part) has an nonphysical pole at N=1, + # see also :cite:`Moch:2017uml` and :cite:`Davies:2016jie` eq 3.5 + # where the \nu term is present. + # This should cancel when doing the limit, since the given moment for N=1 is 0 + np.testing.assert_allclose(gnsv.gamma_nss_nf2(N + 1e-8, sx_cache), 0, atol=9e-6) + + # nf^1 part + np.testing.assert_allclose(gnsv.gamma_nss_nf1(N, sx_cache), 0.000400625, atol=2e-6) + def test_momentum_conservation(): N = 2 From f41bb047cc2dc0912a89437ad3b9705d06a4645d Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 4 Sep 2023 21:55:18 +0000 Subject: [PATCH 7/8] [pre-commit.ci] pre-commit autoupdate MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit updates: - [github.com/asottile/blacken-docs: 1.15.0 → 1.16.0](https://github.com/asottile/blacken-docs/compare/1.15.0...1.16.0) - [github.com/pre-commit/pre-commit: v3.3.3 → v3.4.0](https://github.com/pre-commit/pre-commit/compare/v3.3.3...v3.4.0) --- .pre-commit-config.yaml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 6b4fde178..69892c7b3 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -22,7 +22,7 @@ repos: hooks: - id: black - repo: https://github.com/asottile/blacken-docs - rev: 1.15.0 + rev: 1.16.0 hooks: - id: blacken-docs - repo: https://github.com/pycqa/isort @@ -43,6 +43,6 @@ repos: additional_dependencies: - toml - repo: https://github.com/pre-commit/pre-commit - rev: v3.3.3 + rev: v3.4.0 hooks: - id: validate_manifest From a06ac02a1fdfafc8817d695780feb987445c413f Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Mon, 11 Sep 2023 22:19:25 +0000 Subject: [PATCH 8/8] [pre-commit.ci] pre-commit autoupdate MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit updates: - [github.com/psf/black: 23.7.0 → 23.9.1](https://github.com/psf/black/compare/23.7.0...23.9.1) --- .pre-commit-config.yaml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 69892c7b3..856a2d959 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -18,7 +18,7 @@ repos: - id: pycln args: [--config=pyproject.toml] - repo: https://github.com/psf/black - rev: 23.7.0 + rev: 23.9.1 hooks: - id: black - repo: https://github.com/asottile/blacken-docs